The number of cars a salesman sold each month for a two year period are represented by the box and whisker plot below. Which of the following statements is most likely to be true?

In approximately 50% of the months he sold less than 9 cars.
In approximately 25% of the months he sold less than 12 cars.
In approximately 75% of the months he sold more than 12 cars.
In approximately 25% of the months he sold less than 9 cars.

The Number Of Cars A Salesman Sold Each Month For A Two Year Period Are Represented By The Box And Whisker

Answers

Answer 1

The true statement is that (a) in approximately 50% of the months he sold less than 9 cars.

How to determine which of the statements is most likely to be true?

The given parameter is the box and whisker plot

As mentioned above, the box and whisker plot is a great tool to show the five-number summary.

The five-number summaries are:

MinimumLower quartileMedianUpper quartileMaximum

On the box and whisker plot, we have the following five-number summaries:

Minimum: 0Lower quartile: 4Median: 9Upper quartile: 12Maximum: 19

The difference between the quartlles is

Difference = Upper quartile - Lower quartile

So, we have

Difference = 12 - 4

Evaluate

Difference = 8

This means that in approximately 50% of the months he sold 8 cars

8 is less than 9

This means that in approximately 50% of the months he sold less than 9 cars.

Hence, the true statement is that (a) in approximately 50% of the months he sold less than 9 cars.

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Related Questions

These questions are about calculus, I would greatly appreciate your help on both questions!
asap, please!

Answers

For the function f(x) =(4 sin x)/(1+cosx) , then f'(x) = 4/(1+cosx) using quotient rule of differentiation and f'(2) = 2.00

What is quotient rule for differentiation?

Quotient rule for differentiation states that the differentiation the division of two functions u, v is given as

(u/v)' = (u' v  - u v')/v² , where '  represents first derivative  with respect to independent variable

Given f(x) = (4sinx)/(1+cosx)

let u =4 sin x , v = 1+cos x , u'=4cos x , v' = -sin x

Then f(x) =u / v

Using quotient rule of differentiation:

f'(x) = ( u' v -u v' )/v² = (4cosx(1+cosx) +4sin²x )/(1+cos x)²

f'(x) = = 4(cos x +cos² x +sin² x)/(1+ cos x)² = 4(cos x +1)/(1+ cos x)²  

f'(x) = 4/(1+ cos x)

To find value of f'(x) at x= 2

f'(5) = 4/(1+cos2) = 2.000609= 2.00(rounding off )

Therefore if f(x) = (4x² tan x)/sec x  then f'(x) = 4/(1+cos x) and f'(2) =2.00

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Solve |3x - 4| = 6
{-2/3, 10/3}
{-10/3, 10/3}
{-2/3, 2/3}

Answers

Answer:

{-2/3, 10/3}

Step-by-step explanation:

Let's solve your equation step-by-step.

|3x−4|=6

Solve Absolute Value.

|3x−4|=6

We know either3x−4=6or3x−4=−6

3x−4=6(Possibility 1)

3x−4+4=6+4(Add 4 to both sides)

3x=10

3x/3 = 10/3

(Divide both sides by 3)

x=10/3

3x−4=−6(Possibility 2)

3x−4+4=−6+4(Add 4 to both sides)

3x=−2

3x/3 = −2/3

(Divide both sides by 3)

x= −2/3

I need help with this question

Answers

Answer:

Step One: Evaluate the Function for A and B

f(1) = -6

f(2) = -1.5

Step Two: Use the Average Rate of Change Formula

f(b) - f(a) / b - a

-1.5 - -6 / 2 - 1

4.5 / 1

4.5

The average rate of change is equal to 4.5

In short, use

[tex] \frac{f(2) -f(1) }{2 - 1} [/tex]

Step-by-step explanation:

To explain, substitute 1 and 2 for f(x) then divide the difference of the two answers by the difference of the two x coordinates above to find the average rate of change

Translate the sentence into an equation or formula.
The surface area SA of a rectangular prism is 2 times the sum of the width (w) times height (h), and length (
l
) times width, and length times height.

Answers

A translation of the equation for the surface area of this rectangular prism is given by: SA = 2(WH + LW + LH).

What is an equation?

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

How to translate the sentence into an equation or formula?

Mathematically, the surface area of a rectangular prism can be calculated by using this equation or formula:

SA = 2(WH + LW + LH)

Where:

SA represents the surface area of a rectangular prism.L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.

In this context, we can reasonably and logically deduce that a translation of the equation for the surface area of this rectangular prism is given by:

SA = 2(WH + LW + LH).

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The sum of the first 10 positive odd integers.

Answers

Answer:

1,3,5,7,9,11,13,15,17,19

add them all together

= 100

Step-by-step explanation:

hope this works :)

logs (20x + 5y) using the properties of logarithms to expand

Answers

The logarithmic expansion of logs(20x + 5y) by using the properties of logarithmic is log(5)+log(4x+y).

The basic logarithmic function is of the form f(x) = logₐx(r)n = logₐx, where a > 0. It is the inverse of the exponential function aⁿ = x. Log functions include natural logarithm (ln) or common logarithm (log). Logarithmic functions is very useful in various mathematical computations.

Given that, log(20x+5y) and we have to expand it by using the properties of logarithms. So, let's proceed to solve the question.

log(20x+5y)

we can write 20 in terms of powers like 20 = (2²)x5

log((2².5)x+5y)

log(5(2².5x/5+5y/5))

log(5(2²x+y))

log(5(4x+y))

log(ab) = log(a)+log(b)

⇒log(5(4x+y)) = log(5)+log(4x+y)

Hence, on expanding log(20x+5y) by using the properties of logarithms we get log(5)+log(4x+y) as our required answer.

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Write equation in slope-intercept form (9,-5) slope -4/3

Answers

The equation of the line in slope intercept form is y = (-4/3)x + 7.

According to the slope intercept form, the equation of a line is given as-

y = mx + c

where m is the slope and c is the y intercept.

Here we are given that an equation passes through the point (9,-5) and has a slope of -4/3.

According to the point slope form, the equation of a line passing through (x1, y1) and slope m is given as-

(y - y1) = m(x - x1)

Here,

x1 = 9, y1 = -5 and m = -4/3

Thus,

(y + 5) = -4/3(x - 9)

3(y + 5) = -4(x - 9)

3y + 15 = -4x + 36

3y = -4x + 21

y = (-4/3)x + 21/3

y = (-4/3)x + 7

This is our equation in slope intercept format as m = -4/3 and c = 7

Thus, the equation of the line in slope intercept form is y = (-4/3)x + 7.

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Find the distance between the points A (13, 2) and B (7, 10).

Answers

Answer:

[tex]\sqrt{89}[/tex]units

Step-by-step explanation:

[tex]\sqrt{(7-13)^2+(10-2)^2}[/tex]

(-5)^2+(8)^2=25+64

25+64=89

[tex]\sqrt{89}[/tex]

the answer would be [tex]\sqrt{89}[/tex]

Traffic signs are regulated by the Manual on Uniform Traffic Control Devices​ (MUTCD).

The perimeter of a rectangular traffic sign is 134 inches.​

Also, its length is 9 inches longer than its width.

Find the dimensions of this sign.

Answers

The dimensions of the rectangular traffic sign whose perimeter is 134 inches according to the task content are; 38in by 29in.

What are the dimensions of the rectangular traffic sign?

It then follows that from the task content that the dimensions of the rectangular traffic sign are to be determined.

Since the perimeter of a rectangle is given by;

P = 2(l+b)

where the length, l = b +9.

So therefore; 134 = 2(b+9 +b)

134 = 4b + 18

4b = 134 - 18

4b = 116

b = 29

In conclusion, the length, l of the traffic sign is; 29 +9

l = 38.

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y = x – 2

y = –3x – 2

Answers

Answer:

y=3x-2

Step-by-step explanation:

if for y=-3x-2 is being solved for x your answer would be:

y=3x-2

3x-2=y

3x=y+2

3x/3=y+2/3

so your final answer for this question is: x=y+2/3

and for the first one y=x-2 there is no answer for it

Which of the following equations has no solutions?

4x - 4 = -4(-x + 1)
-9x + 2 = -3(3x + 2)
-6x + 1 = -3(2x + 1) + x
-5 + 14x = 7(2x) - 5

Answers

Answer:

-9x + 2 = -3(3x + 2).

Step-by-step explanation:

-9x + 2 = -3(3x + 2)

-9x + 2 = -9x - 6

0 = -8, which is absurd, so :-

No solutions.

edie earned a gross pay of $927.88 last week. determine the amount that edie contributed to both social security and medicare

Answers

Based on the gross pay to Edie of $927.88, the amount contributed by Edie Social Security was $57.53 and the amount to Medicare was $13.45

How to find contribution to social security?

The current Social Security tax rate is 6.2% which means that to find the Social Security tax that Edie will contribute will be:

= Social security tax rate x Gross pay of Edie

= 927.88 x 6.2%
= $57.52856

= $57.53

The Medicare tax rate is 1.45%. The Medicare tax can therefore be found by multiplying the gross pay by the Medicare tax rate:

= 927.88 x 1.45%

= $13.45

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K
Convert the angle to a decimal in degrees.
16°43'27"

Answers

The value of the angle 16°43'27"is approximately 16.724167 degrees.

A plane angle is measured in degrees, with the letter ° typically used to indicate that one full rotation is equal to 360 degrees.

The radian is the SI unit for measuring angles.1 degree = [tex]\frac{\pi}{180}[/tex] radiansA complete rotation around a circle is 180°.A degree is a narrow enough angle for many practical tasks where full degrees are enough for precision. In those instances when this is not the case, such as in astronomy or for geographic coordinates (latitude and longitude), degree measurements may be expressed in decimal degrees.

To convert a degree from minutes and seconds to decimal we must know the relation between degree and minutes and seconds.

1 degree=60 minutes.

1 minute = 60 seconds.

The given angle is 16°43'27"

27 seconds = 27 ÷ 60 minutes = 0.45 minutes = 0.45 ÷ 60 degree =0.0075 degree

43 minutes= 43 ÷ 60 degree = 0.71666666..

Total angle in decimal = 16+0.71666666+0.0075 =16.7241666...

Therefore required angle ≈ 16.7241667 degrees.

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4. Given 6 (1-x) what is the value of the
expression when x = -8?

Answers

Answer:

let x be -8

6(1-8)

6(7)

6x7=42

answer=42

i need help for a good grade thank youuu

Answers

Answer:

Here us the answer in the attachment

Answer:

the person above is correct

Step- by-step explanation:

ILL GIVE BRANNIEST TO THE CORRECT ANSWER Find the coordinates of the point
7/10 of the way from A to B.

Answers

Answer: X = 8.4 Y= 3.5

Step-by-step explanation:

If Xi = 1,3,5,8,12,15,9. Find the mean and median of the data set​

Answers

The mean of the given data is 7.57 and the median of the given data is 8

Given that a data set i.e. Xi= 1,3,5,8,12,15,9. asked to find the mean and median of the given data.

Mean:

The mean is the average of the supplied numbers and is computed by dividing the total number of numbers by the sum of the given numbers.

Mean= [tex]\frac{sum of observation}{number of observation}[/tex]

Mean=[tex]\frac{1+3+5+8+12+15+9}{7}[/tex]

Mean=[tex]\frac{53}{7}[/tex]

Mean=7.57

The mean of the given data is 7.57

Median:

The median is a statistical metric that identifies the midway value of an ascending-ordered dataset (i.e., from smallest to largest value). The metric separates the dataset's lower and upper halves.

Arranging in ascending-order⇒1,3,5,8,9,12,15.

Then median=8

Therefore,The mean of the given data is 7.57 and the median of the given data is 8

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Question 2 (1 point)
To find which number is one thousand times larger than 2.3 x 10^2, you would do the following steps.
O a
O b
O c
Od
Change 1,000 to Scientific notation and then add to (2.3 x 10^2)
Change 1,000 to Scientific notation and then multiply by (2.3 x 10^6)
Change 1,000 to Scientific notation and then divide by (2.3 x 10^6)
Change 1,000 to Scientific notation and then subtract from (2.3 x 10^6)

Answers

The correct answer choice as required in the task content is; Choice B; Change 1,000 to Scientific notation and then multiply by (2.3 x 10^6).

To find which number is one thousand times larger than 2.3 x 10², Change 1,000 to Scientific notation and then multiply by (2.3 x 10²).

Scientific notation

This is a method of writing or of displaying real numbers as a decimal number between 1 and 10 followed by an integer power of 10.

which number is one thousand times larger than 2.3 x 10²

Change 1,000 to Scientific notation and then multiply by (2.3 x 10²)

1000 to scientific notation

= 10³

2.3 x 10² × 1000

= 2.3 x 10² × 10³

= 2.3 × 10^5

Furthermore, scientific notation helps us to express numbers in decimal number between 1 and 10 followed by an integer power of 10. It also help us to represent numbers in this pattern.

Therefore, to find which number is one thousand times larger than 2.3 x 10², Change 1,000 to Scientific notation and then multiply by (2.3 x 10²).

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Melanie receives a 9% commission on every house she sells. If she received a commission of $20,340, what was the value of the house she sold?​

Answers

20340/0.09= 226,000. The answer is $226,000

A brokerage company evaluated the three services its call centers provide for reliability. The results showed the following:

Service Reliability Percentage

Checking customer account status .85

Confirming orders .72

Stock quotes .96

Compute the over-all reliability of the call center (round to 2 decimals) _____________

Show computation:

Answers

If a brokerage company evaluated the three services its call centers provide for reliability. The over-all reliability of the call center is: 0.58752.

Over-all reliability of the call center

Using this formula to calculate the over-all reliability of the call center

Over-all reliability of the call center=Checking customer account status × Confirming orders× Stock quotes

Where:

Checking customer account status =.85

Confirming orders= .72

Stock quotes= .96

Let plug in the formula

Over-all reliability of the call center=.85×.72×.96

Over-all reliability of the call center=0.58752

Therefore If a brokerage company evaluated the three services its call centers provide for reliability. The over-all reliability of the call center is: 0.58752.

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Solve for n.
n+m= 16

Answers

Answer:n=16-m

Step-by-step explanation:

n+m=16

Subtract m from both sides.

n=16−m

How many times larger is 5.025 x 1010 than 1.5 x 108?

335
299
29.9
3.35

Answers

[tex]\frac{5.025 \times 10^{10}}{1.5 \times 10^{8}} \\ \\ =\frac{5.025}{1.5}(100) \\ \\ =\boxed{335}[/tex]

Option A is correct, 5.025 x 10¹⁰ is 335 times larger than 1.5 x 10⁸.

To determine how many times larger one number is than another, we divide the larger number by the smaller number.

In this case, we want to find how many times larger 5.025 x 10¹⁰ is than 1.5 x 10⁸.

Dividing the larger number by the smaller number:

(5.025 x 10¹⁰) / (1.5 x 10⁸)

To simplify, we can divide the coefficients (5.025 / 1.5) and subtract the exponents (10¹⁰ - 10⁸):

(5.025 / 1.5) x 10¹⁰⁻⁸

Evaluating the division of the coefficients:

(3.35) x 10²

Therefore, 5.025 x 10¹⁰ is 3.35 x 10² times larger than 1.5 x 10⁸.

In decimal form, this can be expressed as:

3.35 × 10² = 335

Therefore, 5.025 x 10¹⁰ is 335 times larger than 1.5 x 10⁸.

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Solve 19×50 numerically

Answers

The solution of expression 19×50 is found as 950.

What is defined as the distributive property?

This property states that multiplying the product of two or more addends by a number produces the same outcome as multiplying each addend separately by the number and afterwards adding the products together.

The distributive property holds true for division the same way that it holds true for multiplication. However, with division, the concept of "breaking apart" or "distributing" can only be applied by dividing the numerator into lesser numbers that are exactly divisible even by divisor.

In other words, the distributive property requires a phrase of the form:

A (B + C) can be simplified as A (B + C) = AB + AC.

This same applies foe the subtraction;

Thus, for the given numerical;

= 19×50

Using distributive property.

= (20 - 1)×50

Open the braces;

= 20×50 - 1×50

= 1000 - 50

= 950

Therefore, the solution of the numerical 19×50 is 950.

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Express the given function

Answers

Answer:

f(x) = [tex]{\displaystyle {\sqrt[8]{x}}}[/tex]

Step-by-step explanation:

If we let
[tex]g(x) = x^2 - 3\\\\\rm Then \;f(g(x) \;also \;written\; as\; (f\;\circ \rm \;g) \;is\; f(x^2 - 3)\\\\For\; this \;to \;be\; \sqrt[8]{x^2-3} , \\\\\rm f(x) \;has\;to\;be\;\sqrt[8]{x}[/tex]

find three consecutive integers such that the sum of the first and twice the second is 98 minus three times the third

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let the numbers be : x, x + 1 and x + 2 ~

now, according to given condition :

[tex]\qquad \sf  \dashrightarrow \: x + 2(x + 1) = 98 - 3(x + 2)[/tex]

[tex]\qquad \sf  \dashrightarrow \: x + 2x + 2 = 98 - 3x - 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: x + 2x + 3x = 98 - 6 - 2[/tex]

[tex]\qquad \sf  \dashrightarrow \: 6x = 90[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 90 \div 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 15[/tex]

So, tge required numbers are : 15, 16 and 17

Part A

The cost of having one pizza delivered is $14. Each additional pizza costs $9 more. Choose the explicit formula to represent the situation.


A. an = 14 + 9(n + 1)

B. an = 5 + 9n

C. an = 14 + 9n

D. an = 5 + 9(n + 1)

Part B

The cost of having one pizza delivered is $14. Each additional pizza costs $9 more. Choose the recursive formula to represent the situation.


A. an = an – 1 + 5; a1 = 14

B. an = an – 1 + 23; a1 = 9

C. an = an – 1 + 14; a1 = 9

D. an = an – 1 + 9; a1 = 14

Answers

Answer:

C. an = 14 + 9n

Step-by-step explanation:

The cost of having one pizza delivered is $14. Each additional pizza costs $9 more.

Let n= additional pizza

an = 14 + (9 × n)

an = 14 + 9n

Split the fraction using partial fraction decomposition;

Answers

Please see the attached image for your answer. Hope this helps! If you can't read something please let me know.

HELP Trapezoid A'B'C'D' is the image of trapezoid ABCD under a rigid transformation.​

Answers

The Image of the trapezoid under rigid transformation is given by A'B'C'D'  attached below.

The unique process of changing an existing graph or graphed equation to create a completely different version of the given graph is known as graph transformation.

Without changing the figure, a transformation shifts it up, down, to the right, to the left, or diagonally.Rotation is the term used to describe the transformation of a figure around a specific point. A fixed point is used to rotate the figure either clockwise or counterclockwise.

In the given figure we can see that the Trapezoid ABCD is rotated around a fixed point to get the image of the trapezoid A'B'C'D'.

So the figure gets a rotational transformation.

From the figure we can assume that the figure is rotated about 135° clockwise about a fixed point.

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Follow the guided instructions below to create the line of reflection that would map the pink figure onto the blue figure.

Answers

Answer:

Slope of one of the dotted lines:

[tex]y=x[/tex] or [tex]y=x+5[/tex]

Slope of the line of reflection:

[tex]y=-x[/tex]

Step-by-step explanation:

When seeing the dotted lines, both of them have a rise & run of 1, indicating that y = x. However, one of the lines has a y-intercept of 5, making it y = x + 5. So, the slopes for the dotted lines are [tex]y=x[/tex] or [tex]y=x+5[/tex].

The line of reflection has a rise & run of -1, and goes through the origin, indicating that the equation is y = -x.

How much is 2 tablets 3 x per day for 14 days

Answers

Answer:

84 tablets with 6 per day

84 tablets
2 tables x 3 a day is 6 tablets a day.
6 x 14 days = 84
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