Can you guys help me out with this? Thanks! <3
1 answer:
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Answer:
The bulbs should be replaced each 1060.5 days.
Step-by-step explanation:
Problems of normally distributed samples are 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:
How often should the bulbs be replaced so that no more than 1% burn out between replacement periods?
This is the first percentile, that is, the value of X when Z has a pvalue of 0.01. So X when Z = -2.325.
The bulbs should be replaced each 1060.5 days.
Blake saved
Option - A
<u>SOLUTION: </u>
Given, Blake and James are planning to go on a trip.
Blake already has some money saved.
Let the amount saved by Blake be .
She earns more by working overtime.
Then, total amount by Blake
James has more than 4 times the amount of money that Blake has saved.
Then, total amount by James will be
If they have in all, we have to find how much money had Blake originally saved
Now, total amount =