Answer:
D) 35, 38, 41, 44, 47, 50,...
Step-by-step explanation:
The general term of an arithmetic sequence is
, where n ∈N and n ≥ 1.
When n=1,
When n=2,
When n=3,
When n=4,
When n=5,
When n=6,
Hence the sequence is 35, 38, 41, 44, 47, 50,...
The correct answer is D
Answer:
The standard deviation of number of hours worked per week for these workers is 3.91.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.
In this problem we have that:
The average number of hours worked per week is 43.4, so .
Suppose 12% of these workers work more than 48 hours. Based on this percentage, what is the standard deviation of number of hours worked per week for these workers.
This means that the Z score of has a pvalue of 0.88. This is Z between 1.17 and 1.18. So we use
.
The standard deviation of number of hours worked per week for these workers is 3.91.