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KATRIN_1 [288]
2 years ago
12

4. If a data set is graphed, what type of graph would form if the data shows a direct variation?

Mathematics
1 answer:
Lady bird [3.3K]2 years ago
3 0

A function represents a direct variation if the ratio between the output values and input values is constant. If two quantities vary directly, the points on a graph form a straight line, and the line runs through the origin.

Please leave a Thanks! It helps!

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The table below shows data from a survey about the amount of time students spend doing homework each week. The students were in
nadezda [96]

Answer:

The correct option is;

Both spreads are best described by the standard deviation

Step-by-step explanation:

The given information are;

,                                    College                       High School

High,                              20                               20

Low,                                6                                 3

Q₁,                                   8                                 5.5

Q₃,                                  18                                16

IQR,                                 10                                10.5

Median,                           14                                11

Mean,                              13.3                             11

σ,                                      5.2                             5.4

Checking for outliers, we have

College

Q₁ - 1.5×IQR gives 8 - 1.5×10 = -7

Q₃ + 1.5×IQR gives 18 + 1.5×10 = 33

For high school

Q₁ - 1.5×IQR gives 5.5 - 1.5×10.5 = -10.25

Q₃ + 1.5×IQR gives 16 + 1.5×10.5 = 31.75

Therefore, there are no outliers and the data is representative of the population

From the data, for the college students, it is observed that the difference between the mean, 13.3 and Q₁, 8, and between Q₃, 18 and the mean,13.3 is approximately the standard deviation, σ, 5.2

The difference between the low and the high is also approximately 3 standard deviations

Therefore the college spread is best described by the standard deviation

Similarly for the high school students, the IQR is approximately two standard deviations, the  difference between the mean, 11 and Q₁, 5.5, and between Q₃, 16 and the mean,11 is approximately the standard deviation, σ, 5.4

Therefore the high school spread is also best described by the standard deviation.

4 0
3 years ago
Rectangle WXYZ was dilated to create W'X'Y'Z'.
Snezhnost [94]

You did not attach any picture to solve this problem. We cannot calculate for the value W’X’ without the correct illustrations. However, I think I found the correct one (see attached), please attach it next time.

So the first thing we have to do is to calculate for the dilation factor. Taking point G as the reference point, we can see that the distance of point G from rectangle W’X’Y’Z’ is 1.5 while the distance from rectangle WXYZ is (1.5 + 7.5), therefore the dilation factor to use is:

dilation factor = 1.5 / (1.5 + 7.5) = 1.5 / 9 = 1/6

 

Since WX has an initial measure of 3 units, therefore the measure of W’X’ is:

W’X’ = 3 units * (1/6) = 0.5 units

 

Answer:

<span>0.5 units</span>

4 0
3 years ago
Read 2 more answers
3x-2x=6-7 solve this problem step by step
elena-s [515]

Answer:

-1

Step-by-step explanation:

1x= -1

x= -1

5 0
3 years ago
Read 2 more answers
What are the factors of 21
sweet-ann [11.9K]

Answer:

21: 3and 7 factors

54: 6and 9 factors

3 0
3 years ago
Which number is irrational √81 √169 √156 √144
kupik [55]

Answer:

(under root 81 is equals to 9

under root 144 is equals to 12

under root 169 is equals to 13) these are rational numbers

therefore irrational number is under root 156

5 0
3 years ago
Read 2 more answers
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