By elimination:
y = 3x - 1
y = 2x + 2
Subtract the second equation from the first
0 = x - 1
y = 2x + 2
Subtract the first equation from the second
0 = x - 1
y = x + 3
Subtract the first equation from the second again
0 = x - 1
y = 4
Subtract x from both sides of the first equation
- x = - 1
y = 4
Divide the first equation by (-1)
x = 1
y = 4
<h3>
So, the solution is x = 1 and y = 4 {or: (1, 4)}</h3>
Answer: 7 tickets
Step-by-step explanation:
First you need to remove the cost of entrance from the $45 that Hayden has:
= 45 - 8
= $37
The $37 is the amount that is left for Hayden to be able to buy tickets for the raffle.
The tickets cost $5 each so the highest number of tickets that can be bought with $37 is:
= 37 / 5
= 7 tickets
Answer: A. Mean of sampling means 
Standard deviation of sampling means =
B. The probability that your sample has mean less than 165 is 0.1492 .
Given : The distribution of blood cholesterol level in the
population of young men aged 20 to 34 years is close to normal with
mean 
Mg/dl and standard deviation 
mg/dl.
Sample size : n= 150
Let 
sample mean values.
A. The mean and the standard deviation of the distribution of the sampling means would be :
Mean of sampling means =
Standard deviation of sampling means = 
The probability that your sample has mean less than 165 would be
Hence , the probability that your sample has mean less than 165 is 0.1492 .
