9514 1404 393
Answer:
Step-by-step explanation:
The solution steps are ...
3(y -2) = 18 . . . . . . given
3y -<u>6</u> = 18 . . . . . . . eliminate parentheses using the distributive property
3y = <u>24</u> . . . . . . . . . add 6 to both sides
y = <u>8</u> . . . . . . . . . . . divide both sides by 3
The value of y is 8.
Starting salary offered by Company A = $28000
Amount of raise per year given by Company A per year = $3000
Starting salary offered by Company B =$36000
Amount of raise per year given by Company B = $2000
Let us assume the number of years after which the salary offered by Company A will be the same as Company B = x
Then
28000 + 3000x = 36000 + 2000x
3000x - 2000x = 36000 - 28000
1000x = 8000
x = 8000/1000
= 8 years
So from the above deduction we can conclude that after 8 years the salary of Company A and Company B will become equal.
More information's are also provided for the second part of the question.
Starting salary offered by Company C = $18000
Let us assume the amount of raise per year given by Company C = z dollars
Number of years in which the salaries of Company C will become equal to the salaries of Company A and B = 8 years
Then
18000 + 8z = 28000 + (3000 * 8)
18000 + 8z = 28000 + 24000
18000 + 8z = 52000
8z = 52000 - 18000
8z = 34000
z = 34000/8
= 4250 dollars
From the above deduction we can conclude that the raise given by Company C should be $4250.
The and is d it’s the correct answer
Answer:
a) E(x)=3.565
b) c=3.8475 --> P(X < 3.8475) = 0.75
c) The probability that X falls above or below 0.28 min from the mean is P=0.4954.
Step-by-step explanation:
We have the cumulative distribution function as information.
a) To calculate the expected value, we can calculate the value of x in which F(x) equals 0.5. This happens for x=3.565.
b) What is the value c such that P(X < c) = 0.75?
In this case, we have to calculate x to have F(x)=0.75
This happens for x=3.8475.
c) We have to calculate the probability that X falls above or below 0.28 min from the mean (x=3.565).
This is the probability that the time is between 3.285 and 3.845
We can calculate this as:
The probability that X falls above or below 0.28 min from the mean is P=0.4954.