The slope-intercept form of a line is:
y=mx+b
m=slope=(y2-y1)/(x2-x1)
b=y-intercept (the value of y when x=zero)
Answer: 2.396
Step-by-step explanation:
Given : It is claimed that the national average for the price of gasoline in $2.66 per gallon.
i.e. Population mean : 
Sample size : 
Sample mean : 
Standard deviation : 
We assume that the national average for the price of gasoline is normally distributed.
Since the sample size is small (< 30), then we need to calculate t-test statistic for the test .
Hence, the test statistic for this test = 2.396
Answer:
Will is 8 years old, Ben is 11 years old, and Jan is 22 years old
Step-by-step explanation:
Since Ben is 3 years older, his age can be represented by w + 3
Jan is twice as old as Ben, so her age can be represented by 2(w + 3)
Set up an equation that adds up these expressions and sets it equal to 41:
(w) + (w + 3) + 2(w + 3) = 41
Simplify, add like terms, and solve for w:
(w) + (w + 3) + 2(w + 3) = 41
(w) + (w + 3) + (2w + 6) = 41
4w + 9 = 41
4w = 32
w = 8
So, Will is 8 years old.
Find Ben's age by adding 3 to this:
8 + 3
= 11
Find Jan's age by multiplying this by 2:
11(2)
= 22
So, Will is 8 years old, Ben is 11 years old, and Jan is 22 years old
X= a number
29 - 2x= 21
subtract 29 from both sides
-2x= -8
divide both sides by -2
x= 4
CHECK:
29 - 2x= 21
29 - 2(4)= 21
29 - 8= 21
21= 21
ANSWER: The number is 4.
Hope this helps! :)
