Answer:
The height of the prism measures 22 meters
The volume of the prism measures 10,890 cubic meters.
Step-by-step explanation:
The height is twice the width of the prism.
The prism's width is 11 meters.
2 x 11 = 22
The volume of a rectangular prism is calculated as:
V = l x w x h
So, the volume is:
V = 45 x 11 x 22
The volume is 10,890 cubic meters.
Hope this helps!
Answer:
256
Step-by-step explanation:
two choices for each question so
2^8=256
Using the z-distribution, the p-value would be given as follows:
b) 0.0086.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis we test if the means are equal, hence:
At the alternative hypothesis, it is tested if they are different, hence:
<h3>What are the mean and the standard error for the distribution of differences?</h3>
For each sample, they are given as follows:
Hence, for the distribution of differences, they are given by:
- .
<h3>What is the test statistic?</h3>
The test statistic is given by:
In which is the value tested at the null hypothesis.
Hence:
z = -2.63.
Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.
Hence option B is correct.
More can be learned about the z-distribution at brainly.com/question/13873630
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