4:2 and 2:1 are equivalent ratios to 8:4
Answer:
Volume of Cone =

Thus, Volume = 16.75 cubic feet
Step-by-step explanation:
Volume of a cone is given by the formula

Where r is the radius and
h is the height
Given radius r = 2 and
height is 2 times that.
So height is 2*2 = 4
Plugging these into the formula we get:
Volume of Cone =

Thus, Volume = 16.75 cubic feet
it should be 16.5 because the other chord, half of it is 8.25. good luck!
Answer:
The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.
Step-by-step explanation:
What is Confidence Interval?
The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.
The confidence interval is given by

Where
is the mean weight
is the standard deviation
is the critical value from t-table and n is the sample size.
The term
is known as margin of error.
As the sample size is decreased the corresponding margin of error increases which results in wider confidence interval which means smaller precision.
The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.
We can say with 95% confidence that the true mean weight of the rock is within the interval of (25.2, 29.1).
They must conform with Pythagoras theorem
It is set 4 because
(sqrt 2)^2 + (sqrt 7)^2 = 3^2
2 + 7 = 9