Answer:
0.9641 = 96.41% probability that the life span of the monitor will be more than 15,579 hours.
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:

Find the probability that the life span of the monitor will be more than 15,579 hours.
This is 1 subtracted by the pvalue of Z when X = 15579. So



has a pvalue of 0.0359
1 - 0.0359 = 0.9641
0.9641 = 96.41% probability that the life span of the monitor will be more than 15,579 hours.
Price after off =80- 1/4 * 80 = 80-20 = $60
Coupon discount = 60*10/100 = $6
So, he have to pay, 60-6 = $54
Answer:
The correct option is B.
Step-by-step explanation:
The amount of money, in dollars, in a savings account after x years is given by
This above equation represents that $10000 becomes M(x) after x years at a rate of interest 3% compounded in each year.
Therefore, the value in the expression 1.03 represents that there is a 3 percent increase in the savings account each year.
So, the correct option is B. (Answer)
Answer:
= - 
Step-by-step explanation:
Given
=
( cross- multiply )
2(a - b) = 3(a + 2b) ← distribute parenthesis on both sides )
2a - 2b = 3a + 6b ( subtract 3a from both sides )
- a - 2b = 6b ( add 2b to both sides )
- a = 8b ( divide both sides by 8 )
-
a = b ( divide both sides by a )
-
= 