Select ALL the correct answers. A bicycle manufacturer uses the given expression to model the monthly profit from sales of a new model of bicycle, where x is the selling price of one bicycle, in dollars. -12 + 3001 20,000 At what selling prices for the bicycle will the manufacturer make neither a profit nor a loss? $50
answer 250
Answer:
x = 9
Step-by-step explanation:
Simplifying
6x + -24 = 2x + 12
Reorder the terms:
-24 + 6x = 2x + 12
Reorder the terms:
-24 + 6x = 12 + 2x
Solving
-24 + 6x = 12 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
-24 + 6x + -2x = 12 + 2x + -2x
Combine like terms: 6x + -2x = 4x
-24 + 4x = 12 + 2x + -2x
Combine like terms: 2x + -2x = 0
-24 + 4x = 12 + 0
-24 + 4x = 12
Add '24' to each side of the equation.
-24 + 24 + 4x = 12 + 24
Combine like terms: -24 + 24 = 0
0 + 4x = 12 + 24
4x = 12 + 24
Combine like terms: 12 + 24 = 36
4x = 36
Divide each side by '4'.
x = 9
Simplifying
x = 9
Answer:
a. For n=25, the mean and standard deviation of the prices of the mobile homes all possible sample mean prices are $63,800 and $1,580, respectively.
b. For n=50, the mean and standard deviation of the prices of the mobile homes all possible sample mean prices are $63,800 and $1,117, respectively.
Step-by-step explanation:
In this case, for each sample size, we have a sampling distribution (a distribution for the population of sample means), with the following parameters:

For n=25 we have:

The spread of the sampling distribution is always smaller than the population spread of the individuals. The spread is smaller as the sample size increase.
This has the implication that is expected to have more precision in the estimation of the population mean when we use bigger samples than smaller ones.
If n=50, we have:

Answer:
4
Step-by-step explanation:
greatest common factor means the largest positive number that can divide both terms
if you divide 8 by 4 = 2
and if you divide 36 by 4 = 9
Answer:
2x + y = 20
Step-by-step explanation:
gradient = -2
x = 6, y = 8
y - 8 = -2(x - 6)
y - 8 = -2x + 12
2x + y = 12 + 8
2x + y = 20