-13 -23 because divide by two then add five and subtract 5
Complete question :
There is a competition at the local movie theater for free movie tickets. You must guess all four employees' ages given a few clues. The first clue is when their ages are added together the sum is 106. Kirk is 2 times the quantity of ten years less than the manager's age, Brian is 12 years younger than twice the manager's age, ,and Matt is 6 years older than ½ the manager's age. What are all four of their ages? Be sure to show set up equation work and answer
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following clue :
Let manager's age = m
Kirk's age = k
Brian's age = b
Matt's age = a
Sum of their ages = 106
k = 2(m - 10) = 2m - 20
b = 2m - 12
a = 0.5m + 6
k + b + a + m = 106
Express all their ages in terms of m
2m - 20 + 2m - 12 + 0.5m + 6 + m = 106
5.5m - 20 - 12 + 6 = 106
5.5m - 26 = 106
5.5m = 106 + 26
5.5m = 132
m = 132 / 5.5
m = 24
Manager's age = 24 years
kirk = 2(24 - 10) = 2(14) = 28 years
Brian = 2(24) - 12 = 48 - 12 = 36 years
Matt = 0.5(24) + 6 = 12 + 6 = 18 years
A multiple is a number that can be gotten from multiplying a number by any number. For example, a multiple of 3 would have to be something that you can count by threes to get to. The same applies to 10, if you count by tens, any of those numbers that you get while counting by tens would be a multiple of 10.
Answer:
19
Step-by-step explanation:
When you have a straight line with a transversal, the two angles are equal to 180 degrees
180=123+3x ---> subtract 123 to the other side
57=3x ---> divide by 3
x=57/3
x=19
Answer:
The point estimate for the population standard deviation of the length of the curtains is 8.58in.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
The point estimate for the population standard deviation of the length of the curtains is . So
The point estimate for the population standard deviation of the length of the curtains is 8.58in.
