Answer:
267 students
Step-by-step explanation:
Number of students in a team (t) is proportional to number of honor roll students (n)
Mathematically, t = kn (k is constant
When t = 12, n = 8
k = t/n = 12/8 = 1.5
When t = 400
n = t/k = 400/1.5 = 267 (to the nearest whole number)
a. What percent of people earn less than $40000?
Solution: Let S be the random variable of a salary of employee (in $), S ~ N(50000,20000). Then the random
variable X =−50000
20000
~N(0,1).
( < 40000) = ( <
40000 − 50000
20000 ) = ( < −0.5) = (−0.5) = 0.3085375.
Here Φ(x) denotes the cumulative distribution function of a standard normal distribution.
Answer: 31%.
b. What percent of people earn between $45000 and $65000?
Solution:
(45000 < < 65000) = (
45000 − 50000
20000 < <
65000 − 50000
20000 ) = (−0.25 < < 0.75)
= (0.75) − (−0.25) = 0.7733726 − 0.4012937 = 0.3720789.
Answer: 37%.
c. What percent of people earn more than $70000?
Solution:
( > 70000) = ( >
70000 − 50000
20000 ) = ( > 1) = 0.8413447.
Answer: 84%.
ITS TOO SMALL TO SEE THAT PRINT, BUT CAN SOMEONE PLEASE HELP ME ANSWER THIS PROBLEM ON MY PROFILE I JUST POSTED IT AND NO ONE WILL HELP ME!!1
Answer:
x + 15
Step-by-step explanation:
Since I don't know what this number is, I'm going to use the variable x to substitute for the value of the unknown number.
So it would just be x + 15 because addition is the operation of adding and the key words are usually more. Since one of the numbers is unknown, we can't get an answer like "100" because x is undefined.
Say x=100, then the number would be written as 115 in it's simplest form but you could also write it as 100+15. So I'm just using substitution.