Part 1) The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid
Part 2) The dimensions of this surface are 6 in x 6 in
Part 3) Molly needs to paint 228 square inches
Step-by-step explanation:
The picture of the question in the attached figure
Part 1) Which surface is shared by the two solids?
we know that
The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid
Part 2) What are the dimensions of this surface?
The surface is a square with side length 6 inches
so
The dimensions of this surface are 6 in x 6 in
Part 3) what is the area molly needs to paint?
we know that
The area that Molly needs to paint is equal to the surface area of the cube plus the surface area of the pyramid minus two times the area of the surface that is shared by the two solids
so
therefore
Molly needs to paint 228 square inches
<em>i hope this helps you</em>
I like the substitution method. Which is when you make one equation equal only x or y and plug it into the other equation)
There is also the graphing method. If you graphed it, it might not be quite as accurate (at least on hand, on computer you would be pretty exact)
Then there is the elimination method. You multiply one of the equations by a coefficient so that you can eliminate x or y from the equation.
Answer:
a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between 0.6290 and 0.6948.
b. If the sample size is changed, the confidence interval changes as the standard error depends on sample size.
About 90% percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about 10% percent will not contain the true population proportion.
Step-by-step explanation:
We have to calculate a 90% confidence interval for the proportion.
The sample proportion is p=0.6619.
The standard error of the proportion is:
The critical z-value for a 90% confidence interval is z=1.6449.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 90% confidence interval for the population proportion is (0.6290, 0.6948).
Answer:
Step-by-step explanation:
depth = 1⅔ = 5/3 in
length = 2⅓ = 7/3 in
width = 2 in
volume = (5/3)(7/3)(2) = 70/9 = 6 7/9 in³
