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AnnZ [28]
3 years ago
12

What’s the volume of the composite figure?

Mathematics
1 answer:
vodka [1.7K]3 years ago
6 0
3.057.02 is your answer to this question.
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What is the mean of this data set? 17,34,19,27,30,23
Morgarella [4.7K]

Answer: The mean of the data set is 25.

Step-by-step explanation:

To calculate the mean of a data set, first add up all the values.

17 + 34 + 19 + 27 + 30 + 23 = 150

Then divide the sum by the amount of values in the data set. Our sum here is 150 and the amount of data values is 6.

150 ÷ 6 = 25

8 0
3 years ago
Read 2 more answers
You are given the following information obtained from a random sample of 5 observations. 20 18 17 22 18 At 90% confidence, you w
Margaret [11]

Answer:

a

  The null hypothesis is  

         H_o  : \mu  =  21

The Alternative  hypothesis is  

           H_a  :  \mu<   21

b

     \sigma_{\= x} =   0.8944

c

   t = -2.236

d

  Yes the  mean population is  significantly less than 21.

Step-by-step explanation:

From the question we are given

           a set of  data  

                               20  18  17  22  18

       The confidence level is 90%

       The  sample  size  is  n =  5  

Generally the mean of the sample  is  mathematically evaluated as

        \= x  =  \frac{20 + 18 +  17 +  22 +  18}{5}

       \= x  =  19

The standard deviation is evaluated as

        \sigma =  \sqrt{ \frac{\sum (x_i - \= x)^2}{n} }

         \sigma =  \sqrt{ \frac{ ( 20- 19 )^2 + ( 18- 19 )^2 +( 17- 19 )^2 +( 22- 19 )^2 +( 18- 19 )^2 }{5} }

         \sigma = 2

Now the confidence level is given as  90 %  hence the level of significance can be evaluated as

         \alpha = 100 - 90

        \alpha = 10%

         \alpha =0.10

Now the null hypothesis is  

         H_o  : \mu  =  21

the Alternative  hypothesis is  

           H_a  :  \mu<   21

The  standard error of mean is mathematically evaluated as

         \sigma_{\= x} =   \frac{\sigma}{ \sqrt{n} }

substituting values

         \sigma_{\= x} =   \frac{2}{ \sqrt{5 } }

        \sigma_{\= x} =   0.8944

The test statistic is  evaluated as  

              t =  \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }

substituting values

              t =  \frac{ 19  - 21 }{ 0.8944 }

              t = -2.236

The  critical value of the level of significance is  obtained from the critical value table for z values as  

                   z_{0.10} =  1.28

Looking at the obtained value we see that z_{0.10} is greater than the test statistics value so the null hypothesis is rejected

6 0
3 years ago
Danny will be starting college soon and goes shopping for some new clothes. After setting aside money for school expenses, he ha
Rufina [12.5K]
Select the number line which shows that Danny has -5$ in his bank account 
if Danny had 120$ and spends 125$ that's

120 - 125 = -5

so -5$
3 0
3 years ago
The length of a rectangle is 2x – 3 feet, and the width is 5 feet. What is the area of the rectangle in square feet?
drek231 [11]
5(2x - 3)

5 * 2x = 10x
5 * -3 = - 15

10x - 15


5 0
3 years ago
Read 2 more answers
HELP!!! Determine if similar
Dmitriy789 [7]

I don't remember it much, but i'm pretty sure it's:

1. SSS

2. SAS

4 0
4 years ago
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