Question 5, thanks for the help :)
2 answers:
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Answer:
D.
Step-by-step explanation:
When a line is perpendicular to another, their slopes will be opposite reciprocal. For example, 1 would be -1, -3 would be , and
would be -5. The equation is written in slope-intercept form:
m is the slope, so find the equation with the opposite reciprocal of 3, :
is the only option with the correct slope, so the answer is D.
Attached is a screenshot of spreadsheet used to do this problem.
You will see the excel functions used for each column. The average score is highlighted in blue.
You will see the excel functions used for each column. The average score is highlighted in blue.
Answer:
Probability that the sample will have a mean that is greater than $52,000 is 0.0057.
Step-by-step explanation:
We are given that the population mean for income is $50,000, while the population standard deviation is 25,000.
We select a random sample of 1,000 people.
<em>Let </em><em> = sample mean</em>
The z-score probability distribution for sample mean is given by;
Z = ~ N(0,1)
where, = population mean = $50,000
= population standard deviation = $25,000
n = sample of people = 1,000
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
So, probability that the sample will have a mean that is greater than $52,000 is given by = P( > $52,000)
P( > $52,000) = P(
>
) = P(Z > 2.53) = 1 - P(Z
2.53)
= 1 - 0.9943 = 0.0057
<em>Now, in the z table the P(Z </em><em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 2.53 in the z table which has an area of 0.9943.</em>
Therefore, probability that the sample will have a mean that is greater than $52,000 is 0.0057.