Answer:
<u><em>24,501.42 m³</em></u>
Step-by-step explanation:
Volume (cylinder) = πr²h
r = d/2 = 34/2 = 17 m
h = 27 m
V = 3.14 x 17 x 17 x 27
= 53.38 x 459
= <u><em>24,501.42 m³</em></u>
Answer:
Step-by-step explanation:
You have two methods to expand this binomial.
Method 1
If you have the expression:
You can write the expression it in the following way:
Then, apply the distributive property:
Simplify the expression:
---------------------------------------------------------------------------------------
Method 2
For any expression of the form:
Its expanded form will be:
If
Answer:
Step-by-step explanation:
Answer
When you translate either left or right, the x coordinate is the one that you change. To go right when you are dealing with a point, you must add the amount you are asked to go right. So when you go right 3 units, add 3 to the 5.
(5 + 3,1) = (8,1)
when going across the y axis, you are still only changing the x coordinate.
All you need do is put a minus sign in front of the x coordinate. So your final answer is (-8,1)
Answer:
A sample size of 1031 is required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is of:

37% of freshmen do not visit their counselors regularly.
This means that 
98% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required?
A sample size of n is required.
n is found when M = 0.035. So






Rounding up:
A sample size of 1031 is required.