Circles A and B have centers (−5,−2) and (4, 4), respectively. Both circles have a radius of 1. Which of the following transform
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The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
How large of a sample of state employees should be taken if we want to estimate with 98% confidence the mean salary to be within $2,000? The population standard deviation is assumed to be $10,500. z-value for 98% confidence level is 2.326.
Answer:
Sample size = n = 150
Step-by-step explanation:
Recall that the margin of error is given by
Re-arranging for the sample size (n)
Where z is the value of z-score corresponding to the 98% confidence level.
Since we want mean salary to be within $2,000, therefore, the margin of error is 2,000.
The z-score for a 98% confidence level is 2.326
So the required sample size is
Therefore, we need to take a sample size of at least 150 state employees to estimate with 98% confidence the mean salary to be within $2,000.
Answer: The result should be d = or d = 5.385
Step-by-step explanation:
-To find the distance between two points, you need the distance formula:
where there is
and
on the formula.
-So, you place those both points (2, 4) and (7, 2) onto that formula:
-Then, you solve it: