Answer:
The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)
Step-by-step explanation:
Given that:
Mean = μ = 150
SD = σ = 12
Let x1 be the first data point and x2 the second data point
We have to find the z-scores for both data points
x1 = 135
x2 = 167
So,

And

We have to find area to the left of both points then their difference to find the probability.
So,
Area to the left of z1 = 0.1056
Area to the left of z2 = 0.9207
Probability to score between 135 and 167 = z2-z1 = 0.9027-0.1056 = 0.8151
Hence,
The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)
Answer:
(35k + 20) cents
Step-by-step explanation:
First of all, let us have the value of each unit:
1 quarter = 25 cents
1 nickel = 5 cents
1 dime = 10 cents
Given that number of quarter = k
Quarters are 5 lesser than Nickels, so number of nickels = k+5
One more than twice as many dimes as quarters:
k = 2
Number of Dimes + 1
So, number of dimes = 
Value of quarters =
cents
Value of nickels = 
Value of dimes = 
So, total value of coins =

Answer:75+5.5x equal or greater than 130
Step-by-step explanation:
Answer:
the answer is a quadratic
Step-by-step explanation:
A second degree polynomial is also called a "quadratic." Examples are 4x2, x2 - 9, or 6x2 + 13x + c. Just for fun, a third degree polynomial is called a "cubic", a fourth degree is called a "quartic", and a fifth degree polynomial is called a "quintic.