Answer:
95% confidence interval for the true fraction p is (0.426, 0.488)
Step-by-step explanation:
Confidence Interval can be calculated using p±ME where
- p is the sample proportion (

- ME is the margin of error from the mean
and margin of error (ME) around the mean can be found using the formula
ME=
where
- z is the corresponding statistic in 95% confidence level (1.96)
- p is the sample proportion (0.457)
- N is the sample size (1000)
then ME=
≈ 0.031
Then 95% confidence interval would be 0.457±0.031 or (0.426, 0.488)
Answer:
Cone
Step-by-step explanation:
Options:
a) Cone b) Cube
c) Cylinder d) Triangular prism
From the given options (a) to (d), option (a) is true.
This is so, because.
The volume (V) of a cone is:

This is as a result of dilating the cylinder by 1/3 whose volume is:

In other words:

<em>i.e. the cross-section of the cylinder (V2) being dilated by 1/3 (which is between 0 and 1) gives the cone (V1)</em>
The answer will be four. you’re welcome.

It approximately the answer (17) if rounded