Answer:
We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.
Step-by-step explanation:
We have a sample of executives, of size n=160, and the proportion that prefer trucks is 26%.
We have to calculate a 95% confidence interval for the proportion.
The sample proportion is p=0.26.
The standard error of the proportion is:
The critical z-value for a 95% confidence interval is z=1.96.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 95% confidence interval for the population proportion is (0.192, 0.328).
We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.
- The volume of a medium box is 512 cubic inches.
- The ratio of the sides of the small box to the medium box is 1:2.
- The ratio of the area of the small box to the medium box is 1:4.
- The ratio of the volume of the small box to the medium box is 1:8.
<h3>What are the ratio of the small box to the medium box?</h3>
The first step is to determine the side lengths of the small box.
Side length = ∛64 = 4 in
Side lengths of the medium boxes = 4 x 2 = 8 inches
Volume of the medium box = 8³ = 256 cubic inches
The ratio of the sides of the small box to the medium box = 4 : 8 = 1:2.
The ratio of the area of the small box to the medium box= (4 x 4) : (8 x 8) = 1:4.
The ratio of the volume of the small box to the medium box = 4³ : 8³ = 1 : 8.
To learn more about the volume of a cuboid, please check: brainly.com/question/26406747
Answer: the bottom one
Step-by-step explanation:
Answer: C) 44 degrees
Step-by-step explanation:
44
