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Step2247 [10]
3 years ago
13

The hand spans, to the nearest cm, of some students in a class are shown below: 19, 22, 21, 15, 18, 22, 17, 19, 16, 21, 19, 18,

22, 20, 21, 22, 19, 15, 17, 21 Henry created the following incorrect dot plot to represent the data: Dot plot showing 2 dots over 15, 1 dot over 16, 2 dots over 17, 2 dots over 18, 4 dot over 19, 1 dot over 20, 5 dots over 21, and 4 dots over 22 What should Henry do to make the dot plot correct?
Mathematics
2 answers:
Greeley [361]3 years ago
7 0
Your Answer is D, delete 1 dot on 21.
docker41 [41]3 years ago
7 0
<h2>Answer:</h2>

He should remove one dot over 21 so that the actual data plot and his data plot matches.

<h2>Step-by-step explanation:</h2>

We are given a set of data points as:

19, 22, 21, 15, 18, 22, 17, 19, 16, 21, 19, 18, 22, 20, 21, 22, 19, 15, 17, 21

on making the frequency table of these data points.

             Hand span(cm)            Frequency

                     15                                2

                     16                                1

                     17                                2

                     18                                2

                     19                                4

                     20                               1

                     21                                4

                     22                               4

Hence, when we will make the dot plot of it then:

There must be:

2 dot over 15

1 dot over 16

2 dot over 17

2 dot over 18

4 dot over 19

1 dot over 20

4 dot over 21

and 4 dot over 22

<u>But according to Henry it was given:</u>

2 dots over 15

1 dot over 16

2 dots over 17

2 dots over 18

4 dot over 19

1 dot over 20

5 dots over 21

and 4 dots over 22

Hence, Henry should remove one dot over 21 in order to get the correct dot plot.

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Suppose a line has slope -2/3 and passes through the point (1, 8). which other point must also be on the graph?
Arisa [49]
<h3>Answer:   Choice A.   (7,4)</h3>

============================================

Explanation:

Use the slope and given point to find the y intercept

y = mx+b

8 = (-2/3)*(1) + b

8 = -2/3 + b

8 + 2/3 = b

24/3 + 2/3 = b

26/3 = b

b = 26/3

The equation of the line is y = (-2/3)x + 26/3

To confirm this, plug in x = 1 and we should get y = 8, due to the point (1,8)

y = (-2/3)x + 26/3

y = (-2/3)*1 + 26/3

y = -2/3 + 26/3

y = (-2+26)/3

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y = 8

So that verifies we have the correct equation.

--------------

Next, go through each answer choice to see if the x coordinate of the point leads to the y coordinate.

If we try x = 7, then,

y = (-2/3)x + 26/3

y = (-2/3)(7) + 26/3

y = -14/3 + 26/3

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y = 12/3

y = 4

This shows that (7,4) is on the line. Choice A is the answer

That rules out choice B.

----------------

If we tried x = -5, then,

y = (-2/3)x + 26/3

y = (-2/3)(-5) + 26/3

y = 10/3 + 26/3

y = 36/3

y = 12

meaning that (-5,12) is on the line. That rules out choices C and D.

Refer to the graph below. It visually confirms that of the four answer choices, only point A is on the line. I used GeoGebra to make the graph.

5 0
3 years ago
The average cost of printing a book in a publishing company is c(x) =, <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5.5x%2Bk%7
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4 years ago
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olga nikolaevna [1]

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Simplifying, we have:

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