<span>Solution k = {-1, -5}</span>
Answer:
Im sure that the answer is c
The expected value of the amount of average snowfall for over 30 years is 86.7 inches with a standard deviation of 40.4 inches. To verify if this particular trend continues, we must check the significance value of the amount snowfall for the past four years.
Given that the snowfall for past years are as follows: 115.7 inches, 62.9 inches, 168.5 inches, and 135.7 inches.
Thus the mean of the sample would be: (115.7 + 62.9 + 168.5 + 135.7)/4 = 120.7 inches.
To compute for the z-score, we have
z-score = (x – μ) / (σ / √n)
where x is the computed/measured value, μ is the expected mean, σ is the standard deviation, and n is the number of samples.
Using the information we have,
z-score (z) = (120.7 - 86.7) / (40.4/ √4) = 1.68
In order to reject the null hyptohesis our probability value must be less than the significance level of 5%. For our case, since z = 1.68, P-value = 0.093 > 0.05.
Therefore, the answer is B.
We need to convert 300 feet to yards.
We know,
3 feet = 1 yard
Hence,
300 feet * 1 yard/3 feet = 300/3 = 100 yards
He should buy 100 yards
Using compound interest, it is found that they must deposit $9,143.47 in order to have the desired amount.
<h3>What is compound interest?</h3>
The amount of money earned, in compound interest, after t years, is given by:
In which:
- A(t) is the amount of money after t years.
- P is the principal(the initial sum of money).
- r is the interest rate(as a decimal value).
- n is the number of times that interest is compounded per year.
For this problem, the parameters are:
A(15) = 30000, r = 0.08, n = 4
Then we solve for P to find the initial deposit:
P = $9,143.47.
More can be learned about compound interest at brainly.com/question/25781328
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