Answer:
y = -1/4x - 2
Step-by-step explanation:
Since the line has to be perpendicular, that means the new slope multiplied by the original should be -1. The original slope is 4, so the new one would be -1/4. Now our equation is y = -1/4x + z, z being the y intercept. We can find this by substituting the point in and finding the match. 1= -1/4(-12) + z. z has to equal -2, so the answer is y = -1/4x - 2
Answer:
196
Step-by-step explanation:
7 * 14 = 98
7 * 14 = 98
98 + 98 = 196
Answer:
The point estimate of the standard deviation for the population of NFL games is
Step-by-step explanation:
a) Develop a point estimate of mean fan rating for the population of NFL games
The point estimate is the mean of the sample.
The mean is the sum of the values divided by the number of values. There are 12 values, so:
The point estimate of mean fan rating for the population of NFL games is 60.08.
b. Develop a point estimate of the standard deviation for the population of NFL games (to 4 decimals).
This point estimate is the standard deviation of the sample.
The standrd deviation of a N-cardinality set is given by the following formula:
where is the element at the position k of the set and M is the mean of the set.
For this sample, we have that the standard deviation(using a calculator) is:
The point estimate of the standard deviation for the population of NFL games is
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.