9514 1404 393
Answer:
Every night
Step-by-step explanation:
The problem statement tells you ...
"Every night Chris reads a number of pages that can be rounded to the nearest hundred."
Then it asks you ...
"On what nights does Chris read a number of pages that can be rounded to the nearest hundred?"
If we take the problem statement at face value, the answer must be ...
"Every night."
Answer:
81.86%
Step-by-step explanation:
We have been given that final exam scores are normally distributed with a mean of 74 and a standard deviation of 6.
First of all we will find z-score using z-score formula.
Now let us find z-score for 86.
Now we will find P(-1<Z) which is probability that a random score would be greater than 68. We will find P(2>Z) which is probability that a random score would be less than 86.
Using normal distribution table we will get,

We will use formula
to find the probability to find that a normal variable lies between two values.
Upon substituting our given values in above formula we will get,


Upon converting 0.81859 to percentage we will get

Therefore, 81.86% of final exam score will be between 68 and 86.
Step-by-step answer:
Given:
Initial monthly salary = $5000
New salary = 10% less
Salary a year after = 15% more
Solution:
New salary
= 5000 * (100-10)%
= 5000 * 90%
= 5000 * 90/100
= 4500
Salary a year after
= 4500 * (100+15%)
= 4500 * 115%
= 4500 * 115/100
= 45*115
= 5175
9514 1404 393
Answer:
(a) The scale factor is 2.5 and the coordinates of point C are (–2.4, –0.8)
Step-by-step explanation:
We are given ...
A(-4, 3.2) and A'(-10, 8)
C'( -6, -2)
__
The scale factor is the ratio of corresponding coordinates:
A'x/Ax = -10/-4 = 2.5 . . . scale factor
Then the coordinates of C will be ...
C' = 2.5C
C = C'/2.5 = (-6, -2)/2.5
C = (-2.4, -0.8)