This the definition for slope. M=slope.
Slope = rise/run or delta(y)/delta(x) which simply stands for change in y divided by change in x which is m(slope)=y2-y1/x2-x1
Answer:
we know that if: (x, y) is a point of f(x):
This means that f(x) = y.
Then (x + 3, y + 1) is a point of g(x)
This means that:
g(x + 3) = y + 1
Then we have two shifts.
For a real and positive number A.
A horizontal shift of A units to the right can be written as:
f(x - A)
A vertical shift of A units up can be written as:
f(x) + A.
Then in this case we have:
An horiozontal shift of 3 units to the right, and a vertical shift of 1 unit up, this means that:
g(x') = f(x' - 3) + 1.
then evaluating this at x' = x + 3
g(x + 3) = f(x + 3 - 3) + 1 = f(x) + 1 = y + 1
That is what we had initially.
2.4 this is what I got when I put it in the calculator
Answer:
0.998 is the probability that the average money spent by a sample of 40 shoppers is within $10 of the actual population mean.
Step-by-step explanation:
We are given the following information in the question:
Standard Deviation, σ = $21.51
We are given that the distribution of average money spend is a bell shaped distribution that is a normal distribution.
Formula:

We have to find:
P( average money spent is within $10 of the actual population mean.)

Calculation the value from standard normal z table, we have,

Answer:
x = - 5
Step-by-step explanation:
Given
f(x) = - 4x - 10 and f(x) = 10, the equate right sides, that is
- 4x - 10 = 10 ( add 10 to both sides )
- 4x = 20 ( divide both sides by - 4 )
x = - 5