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raketka [301]
3 years ago
9

The following data represent highway fuel consumption in miles per gallon (mpg) for a random sample of 55 models of passenger ca

rs (Source: Environmental Protection Agency). 30 27 22 25 24 25 24 15 35 35 33 52 49 10 27 18 20 23 24 25 30 24 24 24 18 20 25 27 24 32 13 13 21 2 37 35 32 33 29 3 28 28 25 29 31 For this problem, use five classes. (a) Find the class width. (b) Make a frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies. (Give relative frequencies to 2 decimal places.) Class Limits Midpoint Freqeny Relative |Cumulative (c) Draw a histogram.
Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
7 0

Answer:

11  ;

Step-by-step explanation:

Given the data:

30 27 22 25 24 25 24 15 35 35 33 52 49 10 27 18 20 23 24 25 30 24 24 24 18 20 25 27 24 32 13 13 21 2 37 35 32 33 29 3 28 28 25 29 31

Number of classes = 5

Class width : Range / number of classes

Class width = (maximum - minimum) / 5

Class width = (52 - 2) / 5 = 50/5 = 10 + 1 = 11

For the frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies and histogram

Kindly check attached picture

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The ratio of the height of two similar pyramids is 4:7. The volume of the smaller pyramid is 1,331cm, to the nearest whole numbe
IRISSAK [1]

Answer:

The volume of the larger pyramid is equal to 7,133\ cm^{3}

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z----> the scale factor

In this problem, the ratio of the height is equal to the scale factor

z=\frac{4}{7}

step 2

Find the volume of the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x----> volume of the smaller pyramid

y----> volume of the larger pyramid

z^{3}=\frac{x}{y}

we have

z=\frac{4}{7}

x=1,331\ cm^{3}

substitute

(\frac{4}{7})^{3}=\frac{1,331}{y}\\ \\(\frac{64}{343})=\frac{1,331}{y}\\ \\y=343*1,331/64\\ \\y=7,133\ cm^{3}

8 0
3 years ago
Pls help and explain
grin007 [14]

Answer:

B

Step-by-step explanation:

First distribute the 2x to get:

4x² + 10x

Then distribute the -5 to get:

-10x - 25

Then combine

4x² + 10x - 10x - 25

The 10x's will cancel leaving you:

4x² - 25

4 0
3 years ago
Value of Pq- qp if p=3 and q = -1?. 1?:)​
aleksklad [387]

Answer:

0 is the answer

7 0
3 years ago
What is the value of y in the equation 4 + y = −3?<br><br> 7<br> 1<br> −1<br> −7
Natasha_Volkova [10]

Answer:

-7 is your answer

Step-by-step explanation:

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other.

4 + y = -3

Subtract 4 from both sides

4 (-4) + y = -3 (-4)

y = -3 - 4

y = -7

-7, or (D) is your answer

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6 0
4 years ago
Read 2 more answers
What is the word phrase for this algebraic expression z/8-9
ivann1987 [24]
The phrase would be: "z divided by the difference of 8 and 9"
5 0
3 years ago
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