Liam earns $7.00 an hour shoveling snow. What is the relationship between the number of hours and the amount he earns?

PLSS HELP ASAP. Which of the follow box-and-whisker plots correctly displays this data set?

bonufazy [111]

<h3>Answer: Choice D</h3>

The five number summary is

Min = 23
Q1 = 26
Median = 28.5
Q3 = 30.5
Max = 37

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Further Explanation:

The original data set is {24, 32, 25, 27, 37, 29, 30, 30, 28, 31, 27, 23}

It sorts to {23, 24, 25, 27, 27, 28, 29, 30, 30, 31, 32, 37} when going from smallest to largest.

There are n = 12 items in this set. The median is found between slots 6 and 7 because n/2 = 12/2 = 6

Circle the items in slot 6 and slot 7 to highlight 28 and 29 in that order. The midpoint is (28+29)/2 = 57/2 = 28.5 which is the median.

Median = 28.5

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Now break the set up into two pieces

L = {23, 24, 25, 27, 27, 28}

U = {29, 30, 30, 31, 32, 37}

L is the lower set below the median, U is the upper set above the median

The midpoint of L is (25+27)/2 = 26 and the midpoint of set U is (30+31)/2 = 30.5

This gives us Q1 = 26 and Q3 = 30.5 respectively

Q1 = first quartile

Q3 = third quartile

The min and max are simply the smallest and largest items of the set

min = 23

max = 37

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We have this five number summary:

Min = 23
Q1 = 26
Median = 28.5
Q3 = 30.5
Max = 37

These five items directly determine the positioning of the box and whiskers. No extra info is needed.

The min and max handle the tips of the left and right whiskers if we don't have any outliers. In this case, we don't have outliers so we can ignore this aspect.

The Q1 and Q3 handle the left and right edges of the box

The median (aka Q2) is the vertical line inside the box. It doesn't have to be at the center of the box. It's simply anywhere inside.

With all this in mind, the best match is <u>choice D</u>

The tip of the left whisker is at 23
The left edge of the box is at 26
The vertical line inside the box is at 28.5
The right edge of the box is at 30.5
The tip of the right whisker is at 37

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In other words, we can eliminate the following

A) Because the right edge of the box for choice A is at 31 when it should be at 30.5
B) The tip of the right whisker is at 35 when it should be at 37
C) The tip of the left whisker is at 21 when it should be at 23

Since A, B, and C are eliminated, the only thing left is <u>choice D</u> which matches all aspects of the five number summary above.

8 0

2 years ago

Given a circle with a diameter of 2/3, which equation expresses π as the ratio of the circumference of a circle to its diameter?

Advocard [28]

The circumference of a circle can be found using the equation: c = 2<span>πr, where c=circumference and r=radius.
The radius of the circle is also equal to half the diameter: r = </span> $\frac{1}{2} d$ , where r=radius and d=diameter.

Plug the equation for the radius of the circle into the equation for the circumference of the circle and simplify to get an equation that relates circumference and diameter:
$c = 2 \pi r\\
c = 2 \pi (\frac{1}{2} d)\\
c = \pi d$

Now solve that equation for π (aka isolate π) to get the ratio of the circumference to the diameter:
$c = \pi d \\
 \pi = \frac{c}{d}$

You know that the diameter, $d = \frac{2}{3}$ , so plug that into your ratio to get your answer. Remember that dividing by a fraction is equal to multiplying by the inverse of that fraction (aka the fraction flipped):
$\pi = \frac{c}{d}\\
\pi = \frac{c}{\frac{2}{3}}\\
\pi = c \times \frac{3}{2} \\
\pi = \frac{3c}{2} 
$

Your answer is B) <span>3C/2 = π. </span>

6 0

3 years ago

Read 2 more answers

Helpppp its timeedd Write the equation

Veronika [31]

Answer:

Blue

Step-by-step explanation:

Hope this helps you out

7 0

3 years ago

Read 2 more answers

Can someone help 400 divide 700

fenix001 [56]

Answer:

0.57142857142

Step-by-step explanation:

Use a calculator.

5 0

3 years ago

Factor the expression, and use the factors to find the x-intercepts of the quadratic relationship it represents. Type the correc

Kryger [21]

Answer:

The x-intercepts of the quadratic equation: x = -1 , x = -2/3

See explanation below

Step-by-step explanation:

The question is incomplete as the quadratic equation is missing. I would show you how to find the x intercept of a quadratic equation using the factors

Quadratic equation is in the form: ax² + bx + c =0

Where a, b and c are constant

Let's consider the quadratic equation below to solve the question:

2x² + 5x + 3 = 0

By Factoring the expression: (+2) + (+3) = 5; (+2) ×(+3) = 6

2x² + 2x +3x + 3 = 0

2x(x+1) +3(x+1) = 0

(2x + 3) (x+1) = 0

(2x + 3) and (x+1) are the factors of the quadratic equation.

We would equate both to zero to find x-intercepts

2x + 3 = 0 or x+1= 0

2x = -3 or x = -1

x = -2/3 or x = -1

The x-intercepts of the quadratic equation: x = -2/3 or x = -1

The The x-intercepts of the quadratic starting with lower value:

x = -1 , x = -2/3

6 0

3 years ago