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Viktor [21]
2 years ago
15

The prism shown in the diagram has a volume of 39 units^3. What is the volume of the pyramid? Explain your reasoning. I WILL GIV

E BRAINLIEST ASAP FOR A QUICK ANSWER

Mathematics
1 answer:
jolli1 [7]2 years ago
7 0

The volume of the pyramid is 13 units³.

<h3>What is the volume of the pyramid?</h3>

A pyramid is a 3-dimensional shape that is made up of a rectangular base and 4 triangular faces. The volume of a pyramid is one-third that of a prism.

Volume of a pyramid = 1/3 x prism

1/3 x 39 = 13

To learn more about rectangle pyramid, please check: brainly.com/question/9222686

#SPJ1

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The ages of the Oscar-winners for best actor and actress for the years 1970 through 1990 are given below: Women: 34, 34,26,37,42
Artemon [7]

Answer:

See explanation below.

Step-by-step explanation:

Numerical way

We can calculate the mean and the standard deviation from a sample with the following formulas:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

s= \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}

We have the following dataset for women: 34,34,26,37,42,41,35,31,41,33,30,74,33,49,38,61,21,41,26,80,72

And the mean and deviation are:

\bar X_F = 41.857

s_F = 16.399

We can calculate the median ordering the data like this:

21,26,26,30,31,33,33,34,34,35,37,38,41,41,41,42,49,61,72,74,80

And the median would be on the 11 position of the data ordered, for this case is:

median_F = 37

Minimum_F = 21 , Maximum_F = 80

And the range is given by: Range_F = 80-21=59

We can also calculate the coefficient of variation given by:

\hat{CV} =\frac{s}{\bar X} = \frac{16.399}{41.857}=0.392

We have the following dataset for men:

43, 40,48,48,56,38,60,32,40,42,37,76,39,55,45,35,61,33,51,32,42

And the mean and deviation are:

\bar X_M = 45.381

s_M = 11.218

We can calculate the median ordering the data like this:

32, 32,33,35,37,38,39,40,40,42,42,43,45,48,48,51,55,56,60,61,76

And the median would be on the 11 position of the data ordered, for this case is:

median_M = 42

Minimum_M = 32 , Maximum_F = 76

And the range is given by: Range_M = 76-32=44

We can also calculate the coefficient of variation given by:

\hat{CV} =\frac{s}{\bar X} = \frac{11.218}{45.381}=0.247

We se that the mean for the male groups is higher than the mean for female group. The deviation is higher for the female group comapred to the male group. We have more variation for the female group as we can see on the range and the coeffcient of variation.

Graph

We can see the histograms for each group on the figures attached.

As we can see the histogram for males is skewed to the right with the median lower than the mean.

By the other hand the histogram for the female group seems to be skewed to the right also but with missing values on the interval 50-60, for this reason we have more variation compared to the male group.

7 0
3 years ago
A construction worker has 1,032 nails. He needs to put them in containers with 12 in each container. How many containers will he
miv72 [106K]

Answer:

86

Step-by-step explanation:

1,032 ÷ 12 = 86

86 containers would be needed.

4 0
2 years ago
Help please if m1 = 72 then find the value of m3​
Dima020 [189]

m<3 =72°

This is because m<1 and m<3 are vertically opposite.

8 0
2 years ago
PLEASE HELP ASSAAPPPPP
Marysya12 [62]
A. -h to the 20th power 
3 0
3 years ago
Read 2 more answers
Number on the Cube Number of Times Rolled
Natasha2012 [34]
Total number of times cube was rolled = 100.
Total number of times a 6 was rolled = 27.
Probability of rolling a 6 = \frac{27}{100}
Total number of times coin was tossed = 100.
Total number of times a head was tossed = 41.
Probability of tossing a head = \frac{41}{100}
Therefore, probability of rolling a 6 and tossing a head = \frac{27}{100}\times\frac{41}{100}=\frac{1107}{10000}





6 0
3 years ago
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