Write -3.65 as a mixed number.

These box plots show the prices for two different brands of shoes.

nignag [31]

Answer: Choice C

The interquartile range (IQR) for brand A, $10, is less than the IQR for brand B, $20.

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Explanation:

Let's go through the answer choices one by one to see which is true and which is false. Also, we'll see which is helpful when it comes to the spread.

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Choice A

The IQR is found by subtracting the values of Q1 and Q3, which are the left and right edges of the box in that order.

For boxplot A, we have an IQR = Q3-Q1 = 80-70 = 10.

So we can immediately rule out choice A because the IQR for boxplot A is not 20, but instead it's 10.

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Choice B

The statement made in choice B is true, since the center vertical lines represent the median, but it's not useful to determine the spread. The median only tells us the center of the distribution. It doesn't tell us how spread out the distribution is.

Imagine you didn't have access to the graph. Now if you're told that the median for brand A is larger than brand B's median, then you'd probably think boxplot A is more spread out; however, the boxplot diagram shows the opposite is the case.

So again the median isn't used here. We can rule out choice B.

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Choice C

This statement is true. We subtract the box edge values to get the IQR values for each boxplot

For brand A we have IQR = Q3-Q1 = 80-70 = 10

For brand B we have IQR = Q3-Q1 = 70-50 = 20

This is the answer we're after.

The IQR is one tool we can use to measure the spread. The range is another option. We could also use the variance or the standard deviation (two slightly similar ideas) to measure the spread.

As you can see from the diagram, the larger the IQR, the more spread out the data will be.

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Choice D

This is false because earlier we've shown 10 is the IQR for brand A.

7 0

3 years ago

3/4 page per 2 minutes<br><br>how much of a page in 1 minute?

marishachu [46]

Answer:

3/8

Step-by-step explanation:

0.75/2=x/1. Solve proportion: 0.75*1/2=x x=0.375 or 3/8.

Hope this helps plz mark brainliest :D

8 0

3 years ago

What type of triangle is △STR? right triangle equilateral triangle isosceles triangle scalene triangle

Setler79 [48]

Answer:

C. Isosceles Triangle

Step-by-step explanation:

An Isosceles triangle is a type of triangle in geometry that has two sides of equal length.

From the figure attached, triangle STR has two sides of equal length which are;

1.) ST and

2.) TR

The two equal sides (ST and TR) are called legs while the third side is called the base of the triangle.

*P.S: I believe your question is based on the image attached

7 0

2 years ago

The first three terms of an arithmetic progression are m,12 and n . Find the value of m+n

Vera_Pavlovna [14]

<h3>Answer: 24</h3>

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Explanation:

There are a few approaches. Here's one way to solve.

Let d be the common difference between the terms.

We add d to each term of this arithmetic sequence to get the next term.

First term = m
Second term = 12 = m+d
Third term = n = (m+d)+d = m+2d

Focusing on the second equation, we can solve for d like so

m+d = 12

d = 12-m

This is then plugged into the third equation

n = m+2d

n = m+2(12-m)

n = m+24-2m

n = 24-m

Therefore,

m+n = m+(24-m) = 24

It turns out that it doesn't matter what m and n are because m+n is always equal to 24 in this case.

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A more concrete example:

Let's say m = 2. We won't set up n just yet but we'll be able to compute it fairly soon.

Since m = 2, this means d = 12-m = 12-2 = 10. This is the gap between adjacent or neighboring terms.

If d = 10, then the third term must be n = 12+d = 12+10 = 22

We can then see that m+n = 2+22 = 24

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I'll do another example:

m = 5

d = 12-m = 12-5 = 7

n = 12+d = 7 = 19

m+n = 5+19 = 24

Whenever in doubt, or if you get stuck, it helps to come up with actual numeric values to hopefully clear things up.

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An alternative way to get the answer:

Let's try to determine what m+n is actually saying. We have 12 right in the middle of the first term (m) and third term (n). Because the gap between the numbers is the same (that being d), we know that 12 is the midpoint of m and n. It might help to draw out a number line to see what's going on.

The midpoint of m and n is (m+n)/2

Set this equal to 12 and isolate the "m+n"

(firstTerm+thirdTerm)/2 = second term

(m+n)/2 = 12

m+n = 2*12

m+n = 24

So in general, if the first three terms of the arithmetic sequence are m, k, n, then m+n = 2k.

3 0

3 years ago

Match the English word or phrase to its math equivalent.

nydimaria [60]

Sum is addition, less than is subtraction, equals is is, division is of and multiplication is per

5 0

3 years ago