A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.

11, 18, 35, 39, 45, 45, 46, 47, 49, 49, 50, 50, 50, 50, 56, 57, 58, 59

A graph titled Donations to Charity in Dollars. The x-axis is labeled 10 to 19, 20 to 29, 30 to 39, 40 to 49, and 50 to 59. The y-axis is labeled Frequency. There is a shaded bar up to 2 above 10 to 19, up to 2 above 30 to 39, up to 6 above 40 to 49, and up to 8 above 50 to 59. There is no shaded bar above 20 to 29.

Which measure of center should the charity use to accurately represent the data? Explain your answer.

The median of 45.2 is the most accurate to use to show that they need more money.
The median of 49 is the most accurate to use, since the data is skewed.
The mean of 49 is the most accurate to use to show that they have plenty of money.
The mean of 45.2 is the most accurate to use, since the data is skewed.

Answers

Answer 1

The median of 49 is the most accurate to use, since the data is skewed.

What is distribution?

Distribution refers to the pattern of variation in a dataset. Specifically, it refers to how the values in the dataset are spread out or clustered together.

According to question:

The most appropriate measure of center to represent the data depends on the shape of the distribution. In this case, we can see from the histogram that the data is skewed to the right, with a longer tail of higher values.

In skewed distributions, the median is generally a more appropriate measure of center than the mean. This is because the mean can be influenced by extreme values in the tail of the distribution, whereas the median is more resistant to such outliers.

Therefore, the correct answer is: the median of 49 is the most accurate to use, since the data is skewed. This represents the middle value of the data when it is arranged in order, and is less sensitive to the outliers at the high end of the distribution. Using the median can give a more accurate representation of the typical donations received by the charity.

To know more about distribution visit:

https://brainly.com/question/31197941

#SPJ1


Related Questions

What is the area of the triangle in this coordinate plane?
Responses

9.0 units²
9.0 units²

14.0 units²
14.0 units²

16.5 units²
16.5 units²

24.5 units²

Answers

Answer:

16.5 units square

Step-by-step explanation:

The area of a triangle is 1/2bh

To find the base and heights

We use the formula above

Using the formula for my x.-axis I got 11

From 14 - 3

And for the y-axis, I got 3

From 8-5

Then using the formula 1/2bh

The area of the triangle is 1/2 ×11×3

=16.5

Your home security system requires a six character code for activation. It contains two letters followed by four digits, 0 - 9. The first character can be any letter and the second cannot be a vowel. The first digit cannot be zero and the last three characters can be any digits. Repetitions are allowed for letters and digits. How many security codes are possible? Show work.

Answers

Therefore , the solution of the given problem of probability comes out to be there are 54,540,000 different security number combinations.

What precisely is probability?

A procedure's criteria-based systems' main objective is to ascertain the likelihood that an assertion is accurate or that a particular event will take place. Chance can be represented by any number range between 0 and 1, where 0 is commonly used to indicate the possibility of something may be and 1 is usually employed to indicate a degree of confidence. A probability diagram shows the likelihood that a particular occurrence will occur.

Here,

The alphabet consists of 26 characters, and 5 of them are vowels.

(A, E, I, O, U).

Consequently, there are 21 vowels available for the second letter.

Any one of the 26 letters can be used as the first word.

Therefore, there are 21 options for the second character and 26 options for the first letter.

Consequently, there are 9 options for the first number.

There are 10 options for each of the last three numbers since they can be any of the digits from 0 to 9.

Consequently, there are a total of the following protection codes:

=> 26 x 21 x 9 x 10 x 10 x 10 = 54,540,000

Thus, there are 54,540,000 different security number combinations.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ1

4. Financial Literacy Tickets to a play cost $10 for
members and $24 for nonmembers. Write an expression
to find the total cost of 4 nonmember tickets and
2 member tickets. Then find the total cost. (Example 6)
H

Answers

the total cost of 4 nonmember tickets and 2 member tickets would be $116.

Why it is and what is financial literacy?

The expression to find the total cost of 4 nonmember tickets and 2 member tickets would be:

4($24) + 2($10)

This expression represents the cost of 4 nonmember tickets at $24 each, and 2 member tickets at $10 each.

To find the total cost, we simply need to evaluate this expression using basic arithmetic:

4($24) + 2($10) = $96 + $20 = $116

Therefore, the total cost of 4 nonmember tickets and 2 member tickets would be $116.

Financial literacy is the knowledge and skills required to manage one's personal finances effectively. It encompasses a range of topics, including budgeting, saving, investing, managing debt, understanding financial products such as credit cards and loans, and planning for retirement. Financial literacy also involves an understanding of financial concepts such as interest rates, inflation, and risk management.

To know more about financial literacy visit:

https://brainly.com/question/13102912

#SPJ1

10) A thermometer showed a temperature of 28° C. 9C = 5 (F32) can be used to find the in degrees Fahrenheit, F, given the in degrees Celsius, C. What was the in degrees Fahrenheit? temperature temperature temperature​

Answers

Step-by-step explanation:

Using the formula F = (9/5)*C + 32, where C is the temperature in Celsius and F is the temperature in Fahrenheit, we can find the temperature in Fahrenheit:

F = (9/5)*C + 32

F = (9/5)*28 + 32

F = 82.4

Therefore, the temperature in degrees Fahrenheit is 82.4°F.

Aright cone has radius 5 ft and slant height 9 ft. The radius and slant height are both multipliedby 1/2. Which of the following correctly describes the effect on the surface area?a. The surface area is multiplied by 4b. The surface area is multiplied by 1/2.c. The surface area is multiplied by 2d. The surface area is multiplied by 1/4

Answers

The effect on the surface area is best described by the statement "the surface area is multiplied by 1/4." The correct option is D.

Given that the radius of a right cone is 5 ft and the slant height is 9 ft. If the radius and slant height of the cone are both multiplied by 1/2, then the new radius of the cone will be:5 × (1/2) = 2.5 ft

New slant height of the cone will be:9 × (1/2) = 4.5 ft. The surface area of a cone can be given by the formula:

S = πrl + πr²   Where r is the radius of the base, l is the slant height of the cone, and π is a constant (3.14). The surface area of the original cone can be calculated as:

S1 = π × 5 × 9 + π × 5² = 141.37 ft².  Now, if we multiply the radius and slant height by 1/2, the new surface area of the cone will be:S2 = π × 2.5 × 4.5 + π × 2.5² = 17.67 ft².  

Therefore, the ratio of the new surface area to the original surface area will be:S2/S1 = 17.67/141.37 = 0.125Thus, the new surface area is 1/8th (0.125) of the original surface area or multiplied by 1/8th (1/2 × 1/4). So, the surface area is multiplied by 1/4.

To know more about surface area, click on the link below:
https://brainly.com/question/23877107#

#SPJ11

If 250 divided in the ratio 3:7,then smaller part is 25​

Answers

If 250 is divided in the ratio 3:7, then 75 is the smaller part. To find the smaller part of 250 divided in the ratio 3:7, you need to first find the total number of parts that the ratio represents.

The total number of parts in the ratio of 3:7 is 3+7=10.

Next, you need to find the value of one part.

To do this, divide the total amount by the total number of parts:

250 ÷ 10 = 25

This means that one part of the ratio is equal to 25.

To find the smaller part, you need to multiply the value of one part (25) by the ratio of 3/10 (which represents the smaller part of the total).

So the smaller part is:

3/10 x 250 = 75

Therefore, the smaller part of 250 divided in the ratio of 3:7 is 75.

To learn more about ratio visit;

https://brainly.com/question/13419413

#SPJ4

Correct question:

If 250 is divided in the ratio 3:7, what is the smaller part?

Small pizzas at Ponnie's Pizza are cut into 6 pieces. The circumference of a small pizza is 12π inches. A large pizza is cut into 8 pieces. The diameter of a large pizza is 16 inches.

Joannie eats 2 slices of a small pizza. Mark eats 5 slices of a large pizza.

How many times greater are the square inches of pizza that Mark ate than the square inches of pizza that Joannie ate?

Enter your answer, rounded to the nearest tenth, in the box.

Answers

Answer:

Mark ate 3.3 times the square inches of pizza than Joannie ate.

Step-by-step explanation:

Small pizza

The formula for the circumference of a circle is C = 2πr (where r is the radius). If the circumference of a small pizza is 12π inches, then its radius is:

[tex]\implies \sf Radius_{small\;pizza}=\dfrac{circumference}{2\pi}=\dfrac{12\pi}{2\pi}=6\;inches[/tex]

The formula for the area of a circle is A = πr² (where r is the radius).

Therefore, the area of a small pizza is:

[tex]\implies \sf Area_{small\;pizza}=\pi \cdot 6^2=36\pi \; in^2[/tex]

If the small pizzas are cut into 6 congruent pieces, the area of one slice of small pizza is:

[tex]\begin{aligned}\implies \sf Area_{small\;slice}&=\sf \dfrac{Area_{small\;pizza}}{6}\\\\&=\dfrac{36 \pi}{6}\\\\&=6 \pi \; \sf in^2\end{aligned}[/tex]

Therefore, the area of one slice of small pizza is 6π square inches.

[tex]\hrulefill[/tex]

Large pizza

The diameter of a circle is twice its radius.

If the diameter of a large pizza is 16 inches then its radius is:

[tex]\implies \sf Radius_{large\;pizza}=\dfrac{diameter}{2}=\dfrac{16}{2}=8\;inches[/tex]

The formula for the area of a circle is A = πr² (where r is the radius).

Therefore, the area of a large pizza is:

[tex]\implies \sf Area_{large\;pizza}=\pi \cdot 8^2=64 \pi \; in^2[/tex]

If the large pizzas are cut into 8 congruent pieces, the area of one slice of large pizza is:

[tex]\begin{aligned}\implies \sf Area_{large\;slice}&=\sf \dfrac{Area_{large\;pizza}}{8}\\\\&=\dfrac{64 \pi}{8}\\\\&=8 \pi \; \sf in^2\end{aligned}[/tex]

Therefore, the area of one slice of large pizza is 8π square inches.

[tex]\hrulefill[/tex]

If Joannie eats 2 slices of small pizza, the square inches of pizza she ate is:

[tex]\implies \sf Joannie=2 \times 6 \pi = 12 \pi\;in^2[/tex]

If Mark eats 5 slices of large pizza, the square inches of pizza he ate is:

[tex]\implies \sf Mark =5 \times 8 \pi = 40\pi\;in^2[/tex]

To calculate how many times greater are the square inches of pizza that Mark ate than the square inches of pizza that Joannie ate, divide the area Mark ate by the area Joannie ate:

[tex]\implies \sf \dfrac{40 \pi}{12 \pi} = \dfrac{10}{3}=3.3\;(nearest\;tenth)[/tex]

Therefore, Mark ate 3.3 times the square inches of pizza than Joannie ate.

How many solutions does the nonlinear system of equations graphed below have? O OB. Two O C. Four A. One D. Zero -10 10 -10- y 10
pls hurry​

Answers

Answer: c

Step-by-step explanation:

The number of solutions on the graph is zero.

What is graph?

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

to determine the number of solutions:

The graph shows a linear equation (the straight line) and a non linear equation (the curve)

From the graph, we can see that the straight line and the curve do not intersect

This means that the graph do not have any solution

Hence, the number of solutions on the graph is zero

Read more about non-linear graphs at:

brainly.com/question/16274644

#SPJ5

Write the equation of a line parrallel to y=1/3x+4 and goes through -6,1

Answers

The equation of the line parallel to y = (1/3)x + 4 and passing through (-6, 1) is y = (1/3)x + 3.

To find the equation of a line parallel to y = (1/3)x + 4 and pass through the point (-6, 1), we can use the fact that parallel lines have the same slope. The slope of the given line is 1/3, so the slope of the parallel line must also be 1/3.

Now we have the slope (m = 1/3) and a point on the line (-6, 1), so we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

Plugging in the values, we get:

y - 1 = (1/3)(x - (-6))

Simplifying, we get:

y - 1 = (1/3)x + 2

Adding 1 to both sides, we get the final equation:

y = (1/3)x + 3

Find out more about the equation of a line

brainly.com/question/29047576

#SPJ4

The S.S of the two equations : X+2y =5, and 2x+ky=3 in RxR equals phi then k=?

Answers

The value of k such that the solution set of the system is empty is any value of k that is not equal to 4.

What is equation?

A mathematical statement that expresses the equivalence of two numbers or expressions is known as an equation. It has two sides, the left-hand side (LHS) and the right-hand side (RHS), which are equal and are divided by the equal symbol (=). Variables, constants, and mathematical operations like addition, subtraction, multiplication, and division can all be found in an equation.

To find the value of k such that the solution set of the system of equations X + 2y = 5 and 2x + ky = 3 is the empty set (i.e., the intersection of their solution sets is the empty set), we can use the determinant of the coefficient matrix.

The coefficient matrix for the system is:

| 1 2 |

| 2 k |

The determinant of this matrix is:

[tex]det(| 1 2 |[/tex]

| 2 k |) = (1)(k) - (2)(2) = k - 4

For the solution set of the system to be empty, the determinant must be non-zero, since a zero determinant would indicate that the coefficient matrix is singular and therefore the system has no unique solution.

So, we need to solve the equation k - 4 ≠ 0 for k:

k - 4 ≠ 0

k ≠ 4

To know more about equation:

brainly.com/question/29538993

#SPJ9

what is the solution set for this inequality -8x + 40 > -16

Answers

I think the answer is X<7.

-8x + 40 > -16
-8x > -56
-8x/-8x -56/-8
X < 7

Answer:

  x < 7

Step-by-step explanation:

You want the solution set for the inequality -8x +40 > -16.

Solution

Divide both sides by -8, and we have ...

  x -5 < 2

  x < 7 . . . . . . add 5

The solution set for this inequality is {x | x < 7}.

__

Additional comment

There are many ways to describe a solution set. We have used some different ways. You will want to use a method of describing the set that is appropriate to your answer checker.

<95141404393>

Part 1: Use the picture below to find the ratio for each given the trig. function.

Answers

The value of the trigonometric function for the given ratio are Sin X= 12/20. Cos L = 16/34. Tan X = 12/16. Tan Z = 16/12. Tan L = 30/16. Cos M = 16/34.

What are trigonometric functions?

The fundamental six functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulae, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.

Using the relationship of a right triangle and different trigonometric identities we have the values of the following as:

Sin X= opposite side to X / Hypotenuse = 12/20.

Cos L = adjacent side to L / Hypotenuse = 16/34.

Tan X = Opposite side to X / adjacent side to X = 12/16.

Tan Z = Opposite side to Z / adjacent side to Z = 16/12.

Tan L = 30/16.

Cos M = 16/34.

Hence, the value of the trigonometric function for the given ratio are Sin X= 12/20. Cos L = 16/34. Tan X = 12/16. Tan Z = 16/12. Tan L = 30/16. Cos M = 16/34.

Learn more about right angled triangle here:

https://brainly.com/question/4364353

#SPJ1

Square both sides of this: √2-x = x

Answers

Answer:

[tex]2 - x = x^2[/tex]

Step-by-step explanation:

Assuming the form is:

[tex]\sqrt{2 - x} = x \\(\sqrt{2-x})^2 = (x)^2\\2 - x = x^2\\[/tex]

Further solving:

[tex]0 = x^2 +x - 2\\0 = (x+2)(x-1)\\x = -2, 1\\x = 1[/tex]

x is only 1 because of the domain of the original equaiton.

adult men have an average height of 69.0 inches with a standard deviation of 2.8 inches. find the height of a man with a z-score of . round your answer to one decimal place.

Answers

The height of a man with a z-score of 0 is 69 inches.

The average height of adult men = 69.0 inches, Standard deviation of adult men = 2.8 inches to find the Z-score the following formula is used:

z = (x- μ)/σ where z is the z-score, x is the value to be standardized, μ is mean and σ is the standard deviation.

To find the height of a man with a z-score of Standardized value(z) = 0

z = (x - μ)/σ

0 = (x - 69)/2.8

x = 69 + 0 (2.8)

x = 69 inches.

Therefore, the height of a man with a z-score of 0 is 69 inches.

To learn more about "Standard deviation": brainly.com/question/13498201

#SPJ11

batman is taking a midnight stroll through gotham and sees the bat signal in the sky . if batman is 320 feet from the foot of the bat signal and the angle of elevation is 42* , find the height of the bat signal?

Answers

The height of the bat signal is about 214.12 feet.

Finding the Height of the Bat Signal from Batman's Position

To find the height of the bat signal from Batman's position, we can use trigonometry.

The angle of elevation is the angle between the line of sight and the horizontal plane.

Using sine, we can set up the following equation:

sin(42) = height / 320

Solving for the height, we get:

height = 320 * sin(42)

Using a calculator, we can calculate the height to be approximately 214.12 feet.

Therefore, the height of the bat signal is about 214.12 feet.

Read more about bearing distance at

https://brainly.com/question/22719608

#SPJ1

Equation C is an example of Distributive Property of Multiplication over Addition. It can be used
when you multiply a number by a sum. According to this property, you can add the numbers
and then multiply by 8 or you can first multiply each addend by 3. (This is called distributing
the 3. ) Then, you can add the products. C. 8x (3 + 4) = (8x 3) + (8x 4)
8x7= 24 + 32
2x (5+ 6) = (2x 5) + (2x 6)

Answers

Simplified form of the expression 8 ( 3 + 4 ) using the Distributive Property of Multiplication over Addition is 56

To apply the Distributive Property of Multiplication over Addition, you need to multiply the number outside the parentheses by each term inside the parentheses and then add the products together.

In this case, the number outside the parentheses is 8, and the terms inside the parentheses are 3 and 4. So, you can apply the distributive property as follows:

8 ( 3 + 4 ) = 8 × 3 + 8 × 4

Multiply the numbers

= 24 + 32

Add the numbers

= 56

Learn more about distributive property here

brainly.com/question/26809990

#SPJ4

each time a hurricane arrives, a new home has a 0.4 probability of experiencing damage. the occurrences of damage in different hurricanes are mutually independent. calculate the mode of the number of hurricanes it takes for the home to experience damage from two hurricanes.

Answers

As per the given probability, the mode of the number of hurricanes it takes for the home to experience damage from two hurricanes is either one or two hurricanes, depending on which sequence is more likely to occur.

The probability of the DD sequence is 0.4 x 0.4 = 0.16. This means that there is a 16% chance that the home will experience damage in both the first and second hurricanes.

The probability of the DN sequence is 0.4 x 0.6 = 0.24. This means that there is a 24% chance that the home will experience damage in the first hurricane but not in the second hurricane.

The probability of the ND sequence is 0.6 x 0.4 = 0.24. This means that there is a 24% chance that the home will not experience damage in the first hurricane but will experience damage in the second hurricane.

To determine the mode of the number of hurricanes it takes for the home to experience damage from two hurricanes, we need to consider which sequence is most likely to occur.

In this case, the DN and ND sequences have the same probability, which means that there are two possible modes: one and two hurricanes.

To know more about probability here

https://brainly.com/question/11234923

#SPJ4

Sin^2(45+A)+sin^2(45-A)=1
Prove it​

Answers

Answer:

Step-by-step explanation:

Setting A=45, we see that it is not true. However, you might find the following revealing:

sin2(45+A)=(sin45cosA+cos45sinA)2=12(1+2cosAsinA)

sin2(45−A)=(sin45cosA−cos45sinA)2=12(1−2cosAsinA)

Now, stare.

4cm 12 cm 7cm ___square centimeters​

Answers

Answer:

7cm to square centimeters is  2.6458 centimeters

Step-by-step explanation:

Amazon uses a box where the volume can be represented by the expression x^3-2x^2-15x. What are the possible dimensions of the box?

Answers

Answer:

See below.

Step-by-step explanation:

The volume of the box is given by the expression.

V(x) = x^3 - 2x^2 - 15x

To find the possible dimensions of the box, we need to solve for the values of x that make the volume positive. A box with negative volume is not physically meaningful.

Setting V(x) > 0, we get.

x^3 - 2x^2 - 15x > 0

Factorizing the left-hand side, we get.

x(x^2 - 2x - 15) > 0

Now, we can find the values of x that make each factor positive.

For x > 0, both factors are positive.

For x^2 - 2x - 15 > 0, we can factor it as (x - 5)(x + 3) > 0. This inequality is true when x < -3 or x > 5.

Therefore, the possible dimensions of the box are.

x > 0 and x < -3, or

x > 0 and x > 5.

However, we need to remember that the dimensions of a physical box must be positive. Therefore, the only valid solution is,

x > 0 and x > 5.

So the possible dimensions of the box are.

Length, width, and height > 5 units.

Answer:

Factor the polynomial.

x

(

x

5

)

(

x

+

3

Step-by-step explanation:

The median is greater than the mean, and the majority of the data points are to the left of the mean. the median is greater than the mean, and the majority of the data points are to the right of the mean. the mean is greater than the median, and the majority of the data points are to the left of the mean. the mean is greater than the median, and the majority of the data points are to the right of the mean.

Answers

The option that describes the probability distribution is option (A) The mean is greater than the median, and the majority of the data points are to the left of the mean.

To find the mean of the probability distribution, we can use the formula:

mean = Σ(xi × pi)

where xi is the value of the random variable and pi is the corresponding probability.

Using this formula, we get:

mean = (1 × 0.75) + (2 × 0.1) + (3 × 0.1) + (4 × 0.05) + (5 × 0)

= 0.75 + 0.2 + 0.15 + 0.2

= 1.3

To find the median, we need to arrange the values in increasing order of x and then find the middle value.

Arranging the values in increasing order of x, we get:

x = 1, 2, 3, 4, 5

p(x) = 0.75, 0.1, 0.1, 0.05, 0

The median is the middle value, which is 3 in this case.

Therefore, the mean is 1.3 and the median is 3.

Since the mean is greater than the median, we can eliminate options C and D.

To determine whether the majority of the data points are to the left or right of the mean, we can examine the shape of the distribution.

Since the probability of x=1 is much higher than the other values, the distribution is skewed to the left. This means that the majority of the data points are to the left of the mean.

Therefore, the correct option is (A) The mean is greater than the median, and the majority of the data points are to the left of the mean.

Learn more about probability distribution here

brainly.com/question/31012158

#SPJ4

The given question is incomplete, the complete question is:

Which of the following describes the probability distribution below?

A.) The mean is greater than the median, and the majority of the data points are to the left of the mean.

B.) The mean is greater than the median, and the majority of the data points are to the right of the mean.

C.) The median is greater than the mean, and the majority of the data points are to the left of the mean.

D.) The median is greater than the mean, and the majority of the data points are to the right of the mean.

Lin completes a 5K using a combination of walking and running. Here are four graphs that represent four possible situations. Each graph shows the distance, in meters, as a function of time, in minutes.
Graph 1
Graph 2
Graph 3
Graph 4

Match each description with a graph that could represent it.

A:
Lin starts out running, but then slows down to a jog. After 10 minutes, she stops for a water break. She then runs the rest of the way.

B:
Lin starts the race walking, gradually getting faster and faster.

C:
Lin jogs at a steady pace for the entire race.

D:
Lin starts out walking, then moves to a steady run. After 15 minutes, she stops to stretch a cramped leg. Then, she walks the rest of the way.

Answers

.Graph 4: A - Lin initially jogs after starting off running. She comes to a stop for a water break after ten minutes. After that, she continues to run.

what is graph ?

A graph in mathematics is a picture of a group of things and the connections or interactions between them. The connections or relationships between the objects in a graph are typically represented by lines or edges, whereas the objects themselves are typically represented by points or vertices. Many different real-world phenomena, including social networks, transportation networks, and financial markets, are modelled and represented using graphs. Also, they can be used to examine and research many traits and qualities of things and interactions, like connectedness, separation, and clustering.

given

Graph 1: Lin begins by walking before gradually transitioning to a steady run. She pauses after fifteen minutes to stretch her strained leg. She continues to walk the remaining distance.

Graph 2: B - Lin begins the race by strolling and then progressively picks up speed.

Graph 3: C - Lin maintains a constant speed throughout the entire race.

Graph 4: A - Lin initially jogs after starting off running. She comes to a stop for a water break after ten minutes. After that, she continues to run.

To know more about graphs visit:

https://brainly.com/question/11950136

#SPJ1

ezra is redrawing the blueprint shown of a stage he is planning to build for his band. by what percentage should he multiply the dimensions of the stage so that the dimensions of the image are 12 the size of the original blueprint? what will be the perimeter of the updated blueprint?

Answers

The perimeter of the updated blueprint will be 24 times the sum of the original length and width.

If Ezra wants to multiply the dimensions of the stage by a certain percentage to make the image 12 times larger than the original, he needs to find out what percentage that is.

To do this, he can divide the desired size of the new stage by the original size of the stage, and then multiply by 100 to get the percentage increase. So, if the original blueprint dimensions are x by y, and he wants to make the image 12 times larger, the new dimensions will be 12x by 12y.

To find the percentage increase, he can use the following formula:

Percentage increase = [(new size - original size) / original size] x 100

In this case, the new size is 12 times the original size, so the formula becomes:

Percentage increase = [(12x * 12y - x * y) / (x * y)] x 100

Simplifying this expression gives:

Percentage increase = [(144xy - x * y) / (x * y)] x 100 = 14300%

Therefore, Ezra needs to multiply the dimensions of the stage by 14300% to make the image 12 times larger than the original blueprint.

To find the perimeter of the updated blueprint, he can use the formula for the perimeter of a rectangle, which is: Perimeter = 2(length + width)

In this case, the length and width have been multiplied by 12, so the new perimeter becomes:

Perimeter = 2(12x + 12y) = 24(x + y)

Therefore, the perimeter of the updated blueprint will be 24 times the sum of the original length and width.

To learn more about perimeter here:

brainly.com/question/6465134#

#SPJ11

A boat heading out to sea starts out at Point AA, at a horizontal distance of 787 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 13^{\circ} ∘ . At some later time, the crew measures the angle of elevation from point BB to be 2^{\circ} ∘ . Find the distance from point AA to point BB. Round your answer to the nearest tenth of a foot if necessary.

Answers

After answering the prοvided questiοn, we can cοnclude that Rοunding equatiοn tο the nearest tenth οf a fοοt, we get the final answer οf apprοximately 205917.5 feet.

What is equatiοn?

An equatiοn is a statement in mathematics that states the equality οf twο expressiοns. An equatiοn has twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the statement "2x + 3" equals the value "9". The gοal οf equatiοn sοlving is tο determine which variable(s) must be changed in οrder fοr the equatiοn tο be true. Simple οr cοmplicated equatiοns, regular οr nοnlinear equatiοns, and equatiοns with οne οr mοre factοrs are all feasible. In the equatiοn "x² + 2x - 3 = 0," fοr example, the variable x is raised tο the secοnd pοwer. Lines are used in a variety οf mathematical disciplines, including algebra, calculus, and geοmetry.

Let's first draw a diagram to visualize the problem:

              Lighthouse

                   |

                   |

                   |  13 degrees

            A    |-------------* 787 feet

                   |            /

                   |          /

                   |        /

                   |      /

                   |    /

                   |  /

                   |/

                 * B

                   2 degrees

From triangle ABL:

tan(13 degrees) = h/787 feet

where h is the height of the lighthouse above sea level.

[tex]$\begin{array}{l}{\rm{t a n(2^{\circ})=h/(787-x)f e e t}}\\ {{\rm h=787\ f e e t \times t a n(13^{\circ})162.0\ f e e t}}\\ {{\rm x=787 f e e t-h/t a n(2^{\circ})205\ fe e t}}\end{array}$[/tex]

Therefore, the distance between AA and BB is approximately:

[tex]$\begin{array}{l}\rm {\sqrt{(787\ f e e t)^{2}+x^{2})}\\\rm=205917.5\ f e e t\\\rm=39118.2\ m e t e r s \end{array}$[/tex]

Rounding to the nearest tenth of a foot, we get the final answer of approximately 205917.5 feet.

To know more about equation visit:

brainly.com/question/649785

#SPJ1

Find the missing dimension of the trapezoid. 8 in. h 12 in. A = 40 in. h=___in

Answers

Answer: h=4

Step-by-step explanation:

Joesph has a bag filled with 2red, 4green, 10yellow, and 9 purple marbles. Determine P(not green) when choosing one marble from the bag.

92%
84%
48%
16%. PLS HELP

Answers

[tex]10 + 9 + 2 + 4 = 25[/tex] possible outcomes

[tex]25 - 4 = 21[/tex] outcomes that are not green

[tex]\dfrac{21}{25}[/tex] chance that you don’t choose green

[tex]\frac{21}{25}=\bold{84\%}[/tex]

using a single composite transformation matrix for k transformations of n points, what is the required number of multiplications?

Answers

The required number of multiplications using a single composite transformation matrix for k transformations of n points is n × k.

In computer graphics, composite transformation matrices are used to transform points and shapes. These matrices are created by combining multiple transformations into a single matrix, allowing for efficient processing of large amounts of data. The number of multiplications required to perform a composite transformation depends on the number of points being transformed and the number of transformations being applied.

If there are n points and k transformations, then the required number of multiplications is n × k.

This is because each point needs to be multiplied by the composite transformation matrix k times.

Therefore, the total number of multiplications is n × k.

To learn more about “transformation matrices” refer to the https://brainly.com/question/20366660

#SPJ11

Locate each of the stations on the accompanying map of California. Us a compass to drawa circle centered on each city station with a radius corresponding to the distance determined to the epicenter from that station. The horizontal scale in kilometers is provided on the map

Answers

To locate the stations and draw cirradius cles on the map of California, follow these steps:

1. Identify the city stations on the map: Find the city stations indicated on the map, such as San Francisco, Los Angeles, and San Diego.

2. Use a compass: Set your compass to the scale provided on the map.

For example, if the scale says 1 inch = 100 km, adjust your compass accordingly.

3. Determine the distance from the epicenter: Based on the information provided, determine the distance from each city station to the epicenter. If it is not provided, refer to additional resources or data.

4. Draw the circles: Place the compass point on each city station and draw a circle with a corresponding to the distance determined in

step 3. Ensure the radius is in scale with the map.

5. Identify the epicenter: The point where all the circles intersect is the approximate location of the epicenter.

for such more questions on radius

https://brainly.com/question/24375372

#SPJ11

What numbers fill the boxes in this equation?

Answers

By algebra properties, the complete algebraic equation is now described:

a · x · (x + 3) + 7 · x · (2 · x + 1) = 5 · x · (a · x + 5), where a = 7 / 2.

How to complete an algebraic equation by comparing the terms

An algebraic equation is shown herein, this expression must completed by filling the blanks. This can be done by clearing a variable through algebra properties:

a · x · (x + 3) + 7 · x · (2 · x + 1) = 5 · x · (a · x + 5)

a · x² + 3 · a + 14 · x² + 7 · x = 5 · a · x² + 25 · x

(a + 14) · x² + 7 · x + 3 · a = 5 · a · x² + 25 · x

Then, by comparing terms:

a + 14 = 5 · a

14 = 4 · a

a = 14 / 4

a = 7 / 2

The complete expression is introduced below:

(7 / 2) · x · (x + 3) + 7 · x · (2 · x + 1) = 5 · x · [(7 / 2) · x + 5]

To learn more on quadratic equations: https://brainly.com/question/1863222

#SPJ1

according to the myplate analysis report, empty calories should exceed no more than 362 calories for someone like miya. how many empty calories did miya consume on this 1-day menu? a. 793.34 empty calories b. 693.74 empty calories c. 593.54 empty calories d. 352.74 empty calories

Answers

352.74 empty calories did miya consume on this 1-day menu.

Hence option d. 352.74 empty calories is correct.

According to the my plate analysis report, how many empty calories did Miya consume on this 1-day menu.

Empty calories refer to those calories that are devoid of any nutrient and provide only energy.

Miya's 1-day menu needs to be analyzed to determine the empty calories count.

The options provided are:

a. 793.34 empty calories

b. 693.74 empty calories

c. 593.54 empty calories

d. 352.74 empty calories.

Let us understand the concept of empty calories in detail.

Empty calories refer to the calories provided by foods that contain little to no nutrients, like vitamins and minerals. Common sources of empty calories are sugary snacks and alcohol.

Though these foods provide energy, they lack the essential vitamins, minerals, and fiber that the body requires for optimal health.

Therefore, empty calories should be limited in the diet.

To determine the empty calories consumed by Miya, we need to know the nutrient content of her 1-day menu.

Once the nutrient content is known, we can subtract the total calories from empty calories to determine the number of calories that are not empty.

Let us assume that Miya's total calorie intake for the day is 1500 calories. Out of this, the my plate analysis report says that empty calories should not exceed 362 calories.

Therefore, the non-empty calories will be: 1500 - 362 = 1138 calories

From this, we can determine the correct option.

Let us substitute the values given in the options :

a. 793.34 empty calories: 1500 - 793.34 = 706.66

non-empty calories, which is less than 1138.

Therefore, this option is incorrect.

b. 693.74 empty calories: 1500 - 693.74 = 806.26 non-empty calories, which is less than 1138.

Therefore, this option is incorrect.

c. 593.54 empty calories: 1500 - 593.54 = 906.46 non-empty calories, which is less than 1138.

Therefore, this option is incorrect.

d. 352.74 empty calories: 1500 - 352.74 = 1147.26 non-empty calories, which is greater than 1138.

Therefore, this option is the correct answer.

So, the number of empty calories consumed by Miya on this 1-day menu is 352.74 empty calories.

For similar question on calories.

https://brainly.com/question/11460467

#SPJ11

Other Questions
A long solenoid has 100 turns/cm and carries current i. an electron moves within the solenoid in a circle of radius 2.30 cm perpendicular to the solenoid axis. the speed of the electron is 0.0460c (c speed of light). find the current i in the solenoid. one way that sleep deprivation affects drivers is by group of answer choices increasing irritation, frustration, and potential road rage. impairing motor skills. making them drive more slowly and cautiously. reducing vision and hearing. Find the value of X. Round to the nearest tenth A block of aluminum occupies a volume of 28.0 mL and weighs 85.7g. What is its density? What would be a valid opinion about Lincoln's second inaugural speech comparing the rate of overall crime in the united states to that of other parts of the world is . the type of immunity that is produced in response to a specific pathogen infecting your body is called the melting of ice sheets from land masses is of greater concern to scientists than the melting of icebergs because Discuss how a cladogram show evolutionary relationships? (2pts) Be sure to includethe significance of a node (1pt) and clade (1pt). Rights specifically granted to Congress by the federal Constitution is what What is the area of the composite shape ? 20ft, 30ft, 15ft, and 5 ft you have a three-year bond with a face value of $100, paying interest of $5 per year. if the market rate of interest is 4%, what is the price of your bond? question 2 imagine that a company invests in its marketing strategy but does not have a strong brand identity. what is the likely result? The value of which of these expressions is closest to e? bertrand sends an email to lowell asking him if he would like to co-author a book. lowell agrees and requests a $10,000 advance for the first three chapters. bertrand sends him the money. what are the characteristics of the contract? multiple choice the contract is void, implied, and executory. there is not a valid contract. the contract is voidable, express, and executed. the contract is implied, executed, and valid. the contract is express, bilateral, and executory. typical costs included in a construction project include multiple choice question. property, plant, and equipment. interest and taxes. selling, general, and administrative. labor, materials, and overhead. The _____ model was developed to allow designers to use a graphical tool to examine structures rather than describing them with text.a. hierarchical b. networkc. object-oriented d. entity relationship how can companies use social networking technologies to link employees with similar professional interests throughout the organization for improved collaboration opportunities? Which of the following can help a firm extend its competitive advantage? better expectations of future resource valueintellectual property protectionpath dependence the nurse is discussing weight gain with a group of pregnant women in a prenatal clinic. one of the women in the group has been measured with a body mass index (bmi) of 17.5. the nurse knows this client should gain how much weight during her pregnancy? 28