Answer:
88.88% probability that it endures for less than a year and a half
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 question, we have that:

The next career begins on Monday; what is the likelihood that it endures for less than a year and a half?
One year has 52.14 weeks. So a year and a half has 1.5*52.14 = 78.21 weeks.
So this probability is the pvalue of Z when X = 78.21.



has a pvalue of 0.8888
88.88% probability that it endures for less than a year and a half
Answer: option A
Step-by-step explanation:
Answer:
B = 48
Step-by-step explanation:
You are given that the two vertical lines are parallel. That means that the alternate interior angles are equal (they form a Z shape).
So the given is that A = B
A = 5x - 12
B = 2x + 24
Solution
5x - 12 = 2x + 24
5x - 12 = 2x + 24 + 12
5x = 2x + 36
5x - 2x = 36
3x = 36
x = 36/3
x = 12
================
B is
B = 2x + 24
B = 2*12 + 24
B = 24 + 24
B = 48
Answer:
15$
Step-by-step explanation:
Okey so first we establish that 25 is 100%
Matthew gets 60%
First we find 10% by dividing both sides by 10
2.5 = 10%
Then we times these numbers by 6 to find 60%
<u>60% = 15</u>
Matthew will earn <u>15$</u>
Luke will earn 10$