Answer:
24 years
Step-by-step explanation:
let jiri's age be x
Pamela's age=x-15
x+x-15=33
2x-15=33
collect the like terms to similar places
2x=33+15
2x=48
x=24
Answer: 3.712 hours or more
Step-by-step explanation:
Let X be the random variable that denotes the time required to complete a product.
X is normally distributed.

Let x be the times it takes to complete a random unit in order to be in the top 10% (right tail) of the time distribution.
Then, 
![P(z>\dfrac{x-3.2}{\sigma})=0.10\ \ \ [z=\dfrac{x-\mu}{\sigma}]](https://tex.z-dn.net/?f=P%28z%3E%5Cdfrac%7Bx-3.2%7D%7B%5Csigma%7D%29%3D0.10%5C%20%5C%20%5C%20%5Bz%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5D)
As,
[By z-table]
Then,

So, it will take 3.712 hours or more to complete a random unit in order to be in the top 10% (right tail) of the time distribution.
Let the width be x
width = x
length = 2x - 3
Perimeter = x + 2x - 3 + x + 2x - 3 = 6x - 6
6x - 6 = 78
6x = 78 + 6
6x = 84
x = 14 cm
2x - 3 = 2(14) - 3 = 25cm
The width is 14cm and the length is 25cm
Answer:
13/3
Step-by-step explanation:
k - 4/3 = 3
k = 3 + 4/3
k = 13/3
Answer:
Due to the higher Z-score, Kamala had the best GPA when compared to other students at her school.
Step-by-step explanation:
Z-score:
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
In this question:
Whichever student's GPA had the higher z-score had the best GPA compared to other students.
Thuy 2.5 3.2 0.8
This means that 
The z-score is:



Vichet 88 75 20
This means that 
The z-score is:



Kamala 8.9 8 0.4
This means that 
The z-score is:



Due to the higher Z-score, Kamala had the best GPA when compared to other students at her school.