Molly is painting a model house and needs to know how much paint she will need. She knows the surface area of the prism is 216 s
quare inches and the surface area of the pyramid is 84 square inches.
1. Which surface is shared by the two solids? What are the dimensions of this surface?
2. There is another surface that Molly does not need to paint, because it won’t show when she displays the model house. Describe that surface, and explain why it doesn't need to be painted.
3. To find the area Molly needs to paint, she should add the surface areas of both solids and subtract:
twice the area of the triangle
twice the area of the square
three times the area of the square
the area of the square
4. Find the area Molly needs to paint. Show your work, and be sure to include units with your answer.
Oh and here's an image to help you out
1. Which surface is shared by the two solids? What are the dimensions of this surface?
2. There is another surface that Molly does not need to paint, because it won’t show when she displays the model house. Describe that surface, and explain why it doesn't need to be painted.
3. To find the area Molly needs to paint, she should add the surface areas of both solids and subtract:
twice the area of the triangle
twice the area of the square
three times the area of the square
the area of the square
4. Find the area Molly needs to paint. Show your work, and be sure to include units with your answer.
Oh and here's an image to help you out
1 answer:
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Answer:
P-value is lesser in the case when n = 500.
Step-by-step explanation:
The formula for z-test statistic can be written as
here, μ = mean
σ= standard deviation, n= sample size, x= variable.
From the relation we can clearly observe that n is directly proportional to test statistic. Thus, as the value of n increases the corresponding test statistic value also increases.
We can also observe that as the test statistic's numerical value increases it is more likely to go into rejection region or in other words its P-value decreases.
Now, for first case when our n is 50 we will have a relatively low chance of accurately representing the population compared to the case when n= 500. Therefore, the P-value will be lesser in the case when n = 500.