The ratio of height to perimeter of mural is 19:67.
The perimeter of mural will be calculated by the formula -
Perimeter = 2 × (length + breadth)
So, finding the perimeter using the mentioned formula. Keep the values of length and breadth in formula to calculate the perimeter of mural.
Perimeter = 2 × (145 + 190)
Performing addition of values in bracket
Perimeter = 2 × 335
Performing multiplication
Perimeter = 670 feet
Ratio = Height : Perimeter
Ratio = 190 : 670
Cancelling zero to find the ratio
Ratio = 19 : 67
Hence, the ratio of the height to the perimeter of this mural is 19:67.
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1. A market research survey in which 60 consumers were contacted states that 65% of all consumers of a certain product were motivated by the product's advertising. Find the confidence limits for the proportion of consumers motivated by advertising in the population, given a confidence level equal to 0.95.
The confidence limits for the proportion of consumers motivated by advertising in the population, given a confidence level equal to 0.95. is; CI = (0.47, 0.77)
How to find confidence Interval of Proportions?We are given;
Sample Size; n = 60
sample proportion; p' = 65% = 0.65
Confidence level = 0.95
Now, formula for confidence interval of proportion is;
CI = p' ± z√(p(1 - p)/n)
At CL of 95%, z = 1.96Thus;
CI = 0.65 ± 1.96√(0.65(1 - 0.65)/60)
CI = 0.65 ± 1.96√0.00379167
CI = 0.65 ± 0.12
CI = (0.65 - 0.12), (0.65 + 0.12)
CI = (0.47, 0.77)
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A single 6-sided die is rolled twice. Find the probability of getting a 3 the first time and a 4 the second time. Express the probability as a simplified fraction
Answer:
[tex]\frac{1}{36}[/tex]
Step-by-step explanation:
The first roll. There are six possible answers (1,2,3,4,5,6), but of those 6 answers, there is only one that I want; 3. so, The probability of rolling a 3 is [tex]\frac{1}{6}[/tex]. There is the same probability for rolling a 4.
If I multiply these together I will find the probability that I am looking for.
[tex]\frac{1}{6}[/tex] x [tex]\frac{1}{6}[/tex] = [tex]\frac{1}{36}[/tex]
In a box of highlighters there are 8 which have dried up and will not write. the box contains 10 red, 15 blue, 5 green and 10 yellow highlighters. Two
highlighters are randomly picked without replacement in succession from the
box. Find the probability that the highlighters are of the different colours.
The probability that it will be a blue highlighters is 3 / 10.
In statistics, what does a probability mean?
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.the highlighters which are dried up and will not write or eight
number of red highlighters = 10
number of blue highlighters 15
number of green highlighters = 5
number of yellow highlighters = 10
therefore the total number highlighters in the box
= 10 + 10 + 15 + 5 + 10 = 50
probability of Blue = number of blue highlighters
Total number of highlighters
= 15 /50 = 3/10 = 0.3
the probability that it will be a blue highlighters is 3 / 10
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I really need help on all these questions
Convert y = 0.25x + 7/8 into standard form.
Answer: -0.25x+y=7/8
Step-by-step explanation:
y = 0.25x + 7/8
-0.25x+y=7/8 ==>Subtract 0.25x from both sides to get the Ax+By=C format
What is the area of a circle with a diameter of 10 inches?What is the area of the circle shown below?
A circle with radius 8 centimeters.
a.
8 pi cm2
c.
StartFraction 16 Over 3 EndFraction pi cm2
b.
16 pi cm2
d.
64 pi cm2
The area of circle of diameter 10 inches is 25π in.² and,
area of circle of radius 8 cm is 64π cm².
How is Area of circle is calculated ?
Area of circle is calculated using formula :
A = πr²
1) It is given that diameter of circle is 10 inches then the radius will be half of it that is :
d = 10 inches
r = 5 inches
Now calculating the area of circle using the above formula :
A = πr²
A = π(5)²
A = 25π in.²
2) It is given that radius of circle is 8 cm then calculating area using above formula :
A = πr²
A = π(8)²
A = 64π cm²
Therefore, the area of circle of diameter 10 inches is 25π in.² and,
area of circle of radius 8 cm is 64π cm².
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A survey of 800 school employees yielded the following information 430 were instructors 595 were full time faculty and 340 of the instructors were full time
The height above ground of a cannon is a function of the time since it was shot.
Question: When time equals 0, why is the height of the cannon ball not equal to 0? Describe the domain of this function. Describe the range.
The height of the cannonball not equal to 0 when time equals 0 because initial height of the cannonball is above the ground
When time equals 0, why is the height of the cannonball not equal to 0?From the graph, we have the y-intercept to be
y-intercept = (0, y), where y > 0
This means that the graph starts above the origin
This in other words mean that the initial height of the cannonball is above the ground (e.g. it could be on a building)
Hence, the height of the cannonball not equal to 0 when time equals 0 because initial height of the cannonball is above the ground
Describe the domain and the range of this functionIn this case, the domain is from t = 0 till the ball lands on the floor, while the range is from the initial height of the cannonball till the maximum height
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The region [tex]R[/tex] is bounded by the lines [tex]x=2[/tex], [tex]x=3[/tex], [tex]y=-1[/tex], and the curve [tex]y=\frac{1}{2+x^3}[/tex]. Suppose a solid is formed by revolving [tex]R[/tex] about an axis. Use the disk/washer method to set up the integral (or expression involving sums of integrals) giving the volume of the solid formed when [tex]R[/tex] is revolved about [tex]x=-5[/tex].
The curve intersects the vertical lines when
[tex]x=2 \implies y = \dfrac1{2+2^3} = \dfrac1{10}[/tex]
and
[tex]x=3 \implies y = \dfrac1{2+3^3} = \dfrac1{29}[/tex]
Split up the region into washers of thickness [tex]\Delta y[/tex].
For [tex]-1\le y\le\frac1{29}[/tex], the inner and outer radii of each washer will be constant, with outer radius [tex]x=3[/tex] and inner radius [tex]x=2[/tex]. Each washer in this interval will contribute a total volume of
[tex]\pi (3^2 - 2^2) \Delta y = 5\pi\,\Delta y[/tex]
For [tex]\frac1{29} \le y \le \frac1{10}[/tex], the washers will have a varying outer radius of length
[tex]y=\dfrac1{2+x^3} \implies x = \sqrt[3]{\dfrac1y - 2}[/tex]
and inner radius [tex]x=2[/tex]. Their volumes are
[tex]\pi \left(\left(\sqrt[3]{\dfrac1y - 2}\right)^2 - 2^2\right) \, \Delta y = \pi \left(\left(\dfrac1y - 2\right)^{2/3} - 4\right) \, \Delta y[/tex]
Let [tex]\Delta y\to0[/tex]. Then as the number of washers goes to infinity, the total volume of the solid converges to the definite integral
[tex]\displaystyle 5\pi \int_{-1}^{1/29} dy + \pi \int_{1/29}^{1/10} \left(\left(\dfrac1y - 2\right)^{2/3} - 4\right) \, dy[/tex]
The first integral is trivial, but the second one requires hypergeometric functions to evaluate exactly. With a calculator, we find the approximate volume to be 0.117884.
(15 points) Find the number of elements in A1∪A2∪A3 if there are 102 elements in A1, 992 elements in A2 and 9975 elements in A3 in each of the following situations:
(a) The sets are pairwise disjoint.
(b) A1⊆A2⊆A3.
(c) There are 14 elements common to each pair of sets and 4 elements in all three sets.
From the union operation between sets, we have that the number of elements for each case will be as follows:
a) 11069.
b) 9975.
c) 11031.
What is the union operation between sets?The union operation between sets is the set that contains all elements that belong to at least one of the sets.
In item a, if the sets are disjoint, all the elements belong to only one set, and the number of elements in A1∪A2∪A3 is given by:
102 + 992 + 9975 = 11069.
For item b, if they are all contained into A3, the number of elements is the cardinality of A3, given by 9975.
For item c, we have that:
There are 4 elements in all three sets.Hence 14 - 4 = 10 common to A1 and A2 but not A3.Hence 14 - 4 = 10 common to A1 and A3 but not A2.Hence 14 - 4 = 10 common to A2 and A3 but not A1.102 - (4 + 2 x 10) = 78 that belong to only A1.992 - (4 + 2 x 10) = 968 that belong to only A2.9975 - (4 + 2 x 10) = 9951 that belong to only A3.Hence:
n(A1∪A2∪A3) = 4 + 3 x 10 + 78 + 968 + 9951 = 11031.
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630 people went a McDonald's yesterday. If 60% of them ordered fries, how many ordered fries?
Answer:
378 people ordered fries
Step-by-step explanation:
60% of 630 is
60/100 × 630
= 3/5 × 630
= 3 × 126
= 378
Which benchmark fraction is 4/7 closest to?
A. 1/2
B. 1/4
C. 3/4
D. 4/4
Why does the range of this function include negative values? What is the significance of the point where the graph crosses the horizontal axis?
The range is the set of y outputs. In this case, the range is the profit.
A negative profit means the company lost money. This is when the cost is larger than the revenue. For instance, if the revenue was $100 but the cost is $150, then the profit = revenue - cost = 100-150 = -50 to signal they lost $50.
Positive profit means the company made money.
The x intercept represents the break-even point. This is where the company neither loses money, nor gains money. The profit is $0 here.
Answer/Step-by-step explanation:
In order to open a restaurant you have to rent a venue, furnish and decorate it, hire a staff and buy food and drinks. Before serving (selling) any meals you have to spend a lot of money. This is why the negative y-values.
At the point where the line crosses the x-axis (horizontal axis) you now begin to have a positive output to your operation. If you sell enough meals, you will turn a profit. That is, you make enough money to pay all those start-up expenses and still have money left over to keep!
Can someone help me with this?
Answer:
Choice A: 11
Step-by-step explanation:
We have x² - y² = 19
x² - y² = (x + y)(x-y)
So (x + y)(x-y) = 19
Since x and y are integers as per the first statement (x, y ∈ Z), we also have x + y = integer and x-y = integer
Take (x + y)(x - y) = 19
Since 19 is prime its only factors are 1 and 19
So we have two situations which can satisfy the above
Either x + y = 1 and x -y 19 or x + y = 19 and x -y = 1
1. Let's try x + y = 1 and x - y = 19
Adding both equations together gives us 2x = 20 (y-terms cancel)
==> x = 10 ==> 10 + y = 1 or y = -9
So 2x - 9 => 2(10) - (-9) = 20 + 9 = 29
This is not one of the choices so we can go on to the next case
2 Let's take x + y = 19 and x - y = 1
Adding these two equations gives us
2x = 20, x = 10 as before
Use 10 in the equation x + y = 19
==> 10 + y = 19
==> y = 19 - 10 = 9
2x - y ==> 2(10) - 9 ==> 20 - 9 = 11
So answer is choice A: 11
Create the Subset and Proper Subset of the set A= {1,2,3,4}. Upload your work.
The subset of A is B = {1, 2} and the proper subset of A is C = {1,2,3,4}
How to create the Subset and Proper Subset of the set?The set is given as:
A = {1,2,3,4}
Subsets of a set are sets that can be found in another set
An instance of this is
B = {1, 2}
Because all the elements of set B are in set A
Proper subsets of a set are sets that contain the exact elements found in another set
An instance of this is
C = {1,2,3,4}
Because set C and set A have the same elements
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2.30x10^4 standard notation
If angle YXZ measures 90 degrees, which statement is true?
O. segment XZ is perpendicular to segment WY
O. WX =XY
O. segment XZ is a perpendicular bisector of segment WY
O. X is the midpoint of segment WY
Answer:
its the first alternative
Average Allowance
Amount Frequency
$20
$15
$10
$5
11 P What is the
mode of this
data on
allowance
amounts?
##
MH MH
|||
Answer:10
Step-by-step explanation:
If JK = x + 8, KL = 10, and JL = 7x, what is JK?
Answer:
10 is the jk because x + 8 is 10
I hope it will help
Answer:
11 units
Step-by-step explanation:
It's clear that,
JL = JK + KL
Given that,
JK ⇒ ( x + 8 )
KL ⇒ 10
JL ⇒ 7x
So, by using these data we can make an expression like this.
JL = JK + KL
7x = x + 8 + 10
Now make x the subject and find the value of x.
7x = x + 8 + 10
7x = x + 18
7x - x = 18
6x = 18
6x/6 = 18/6
x = 3
And now let us find the value of JK.
JK ⇒ x + 8
To, find the value of JK we have to replace with 3.
JK ⇒ x + 8
JK ⇒ 3 + 8
JK ⇒ 11 units
Square root of 16 multiply by 35
Answer:
140
Step-by-step explanation:
the square root of 16 is 4 so do that times 35
HELP! daughters struggling with this problem!
The required number of people that are in the US labor force is 0.0086t² + 0.087t + 25.375.
To determine the total number of people available in the US labor force.
In mathematics, it deals with numbers of operations according to the statements.
Here,
As per the data available, the number of Men in the US labor force is M = 0.0016t² + 0.315t + 19.467 and the number of women are W = 0.007t² -0.228t + 5.908.
Total people available in the US labor force,
= Number of women + number of men
= 0.0016t² + 0.315t + 19.467 + 0.007t² -0.228t + 5.908
= 0.0086t² + 0.087t + 25.375.
Thus, the required number of people that are in the US labor force is 0.0086t² + 0.087t + 25.375.
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Answer Question a),b) and c)
Answer:
a. leisure
b. £189
c.£ 1610
Step-by-step explanation:
Which fraction is equivalent to
9/18?
Answer:
Step-by-step explanation:
2/4
the odle show the fraction 2/3 a student uses the model to find the product of 5/2 and 2/3
It should be noted that the product of the fractions 5/2 and 2/3 will be 5/3.
What is a fraction?It should be noted that this is a number that is expressed as a quotient, in which a numerator is divided by a denominator.
Therefore, it should be noted that the product of the fractions 5/2 and 2/3 will be illustrated as thus:
= 5/2 × 2/3
= 5/3.
Therefore, the product of the fractions 5/2 and 2/3 will be 5/3.
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the length of a rectangle is three more than double the width. if the perimeter is 126 inches, find the dimensions
Answer:
the answer is 378
Step-by-step explanation:
jist multiply 126 by 3
T=A3/2 with out rational exponents
After the conversion, we get T² = 1/3 A
It is given that
T = [tex]A^{\frac{3}{2} }[/tex]
We have to convert the equation without rational exponents
T³ = A²
1/2 T = A³
T² = A³
T² = 1/3A
Therefore we get T² = 1/3 A without using the exponents.
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I really need help i don't get it can some one help its due by Monday 9/8/22
Answer:
ayannah is correct
Step-by-step explanation:
Ayannah is correct becauseyou can divide both 19 and 133 by 19 which gives you 1/7. 1/7 isn't divisible by anything else so that's the simplest form.
Answer:
Ayanna is correct because 19/133= 1/7
Step-by-step explanation:
Simplest form means reducing fractions to its lowest term.
The monthly rent on an -square-meter apartment in Monte Carlo, Monaco, is $1000 euros. The monthly rent on a 450-square-foot apartment in Santa Fe, New Mexico, is $900. In terms of price per area, which apartment is less expensive?
The apartment in santa fe is less expensive
Rent in an-square-meter apartment in Monte Carlo = 1000 euros.
rent on a 450-square-foot apartment in Santa Fe = $900
To Find:
Which apartment is less expensive =?
Price per area in Monte Carlo
Cost per square meter in Monte Carlo
=>total rent / total area
=>1000/1
=> 1000euros per square meter
Converting to euros per square meter to dollars per square foot
1 Euro per square meter= 0.102355924 U.S. dollars per square foot
1000 euros per square meter = 0.102355924 x 1000 = 102.3559U.S. dollars per square foot------------------------(1)
Price per area Santa Fe, New Mexico
=>900/450
=>2
=> 2dollars per square foot-------------------------(2)
From (1) and (2)
102.3559> 2
Hence, The apartment in santa fe is less expensive
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Jennifer bought 3 4 kg of white rice and 1 8 kg of brown rice. How many kilograms of rice did she buy altogether?
Answer:
52kg
Step-by-step explanation:
it's just sum of the kgs bought
I DONT UNDERSTAND HELP
Answer:
Step-by-step explanation:
298°+29°+(-116+x)°=360°
x=360°-298°-29°+116°
x=149°
Step-by-step explanation:
298°±29°±(-116±x°)=360
x=360°-298°-29°+116°
x=149°