<u>I'll assume you need to find the equation of the line that passes through those points.</u>
Answer:

Step-by-step explanation:
<u>Equation of a Line:</u>
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

The given points are (-4,2) and (12,6), thus:

Operating:

Simplifying, the equation in point-slope form is:

Answer:
C
Step-by-step explanation:
because the solution dors not include -3 but everything less than.
Answer:
2x-8
Step-by-step explanation:
The word "from" tells you that the first part of the sentence should be at the back of the equation because you're taking from the product of 2 times a number, the number is unknown so it is known as "x."
Answer:
y=6
Step-by-step explanation:
(2y-3)*2=4y-6
You multiply by two because there are two sides that are considered the length
y+1*2=2y+2
Same thing here
4y-6+2y+2=32
6y-4=32
+4. +4
6y=36
/6 /6
y=6
Answer:
99% confidence interval for the population average examination score is between a lower limit of 69.2872 and an upper limit of 82.7128.
Step-by-step explanation:
Confidence interval = mean +/- margin of error (E)
mean = 76
variance = 144
sd = sqrt(variance) = sqrt(144) = 12
n = 25
degree of freedom (df) = n - 1 = 25 - 1 = 24
confidence level (C) = 99% = 0.99
significance level = 1 - C = 1 - 0.99 = 0.01 = 1%
t-value corresponding to 24 df and 1% significance level is 2.797
E = t×sd/√n = 2.797×12/√25 = 6.7128
Lower limit = mean - E = 76 - 6.7128 = 69.2872
Upper limit = mean + E = 76 + 6.7128 = 82.7128
99% confidence interval is (69.2872, 82.7128)