Which expression could be used to solve the problem?
1 answer:
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Answer:
a) The company should expect to replace 11.51% of its batteries.
b) 35 months.
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:
The Z-score measures how many standard deviations the measure is from the mean. 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, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
(a) If Quick Start guarantees a full refund on any battery that fails within the 36-month period after purchase, what percentage of its batteries will the company expect to replace?
This is the pvalue of Z when X = 36. Then
has a pvalue of 0.1151.
The company should expect to replace 11.51% of its batteries.
(b) If quick Start does not want to make refunds for more than 10% of its batteries under the full refund guarantee policy, for how long should the company guarantee the batteries (to the nearest month)?
The warranty should be the 10th percentile, which is X when Z has a pvalue of 0.1. So it is X when Z = -1.28.
To the nearest month, 35 months.
Hello from MrBillDoesMath!
Answer:
36 degrees
Discussion:
The attachment shows calculated angles in red. As a straight line has 180 degrees the missing angle at A is 180 - 72 = 108 degrees (shown in red). The missing angle at B is 180 - 144 = 36. As a triangle has 180 degrees.
x + 108 + 36 = 180 => as 180 + 36 = 144
x + 144 = 180 => subtract 144 form both sides
x = 180 - 144 = 36
Thank you,
MrB
