To find the slope intercept form, you plug in the slope and the points given and find whats missing
y=mx+b
slope is -2
given points are (4,-3)
-3=-2(4)+b (multiply -2 and 4)
-3=-8+b (add 8 to both sides)
5=b
so the equation for the slope intercept form would be
y=-2x+5
x=11
x is equal to 11 because you subtract 4x from both sides and then add 8 to both sides where you are left with 2x=22. After dividing by 2, you get x=11
Answer: 4 hours and 24 minutes
Step-by-step explanation:
Answer: The correct option is
(C) y = −8 ÷ 2; y = −4.
Step-by-step explanation: We are given to select the correct steps that shows the solution to the following equation :

We know that
the solution to the equation
is given by

Therefore, the solution of equation (i) is as follows :

Thus, (C) is the correct option.
Answer: (15.47, 24.53)
Step-by-step explanation:
We know that the confidence interval for population mean is given by :_

, where n= sample size.
= standard deviation.
= sample mean.
z*= Critical value.
Given : n= 450


Critical value for 95% confidence = z*=1.96 [From z-value table]
Then, the 95% confidence interval will be :-




Hence, the 95% confidence interval for the mean change in score μ μ in the population of all high school seniors. : (15.47, 24.53)