Answer:
The mean of the combined math and verbal scores is 1100, while the standard deviation is 141.
Step-by-step explanation:
Normal variables
Normal variables have mean 
and standard deviation 
When we add normal variables, the combined mean is the sum of both means, and the standard deviation is the square root of the sum of both variances. The distribution is still normal.
In this question:
Verbal: 
.
Math: 
Combined:
The mean of the combined math and verbal scores is 1100, while the standard deviation is 141.
Correct Answer:
Option A
Solution:
f(x) = 7x + 9
g(x) = 7x - 4
We can re-write g(x) as:
g(x) = 7x + 9 - 13
Since 7x+9 is equal to f(x), we can write:
g(x) = f(x) - 13
This relation shows that g(x) is obtained by shifting f(x) 13 units vertically down. So the correct answer is option A.
Answer:
65.94
Step-by-step explanation:
a) plug in x =2700 into the given equation and solve for y
b) plug in y = 43 into the given equation and solve for x
c) plug in y = 0 into the given equation and solve for x
hope this helps.
I believe the answer is B because you distribute 4(x-8) to get 4x-32 and distribute 7(x-4) to get 7x-28
