Answer:

Step-by-step explanation:
Solving for the variable
, given that :

We can first start start by subtracting
from both sides of the equation:

Now, we can divide both sides of the equation by the coefficient of
, which would be
:

Applying the fraction rule
:

Then, apply the fraction rule 
Answer:
Step-by-step explanation:
In statistics, a simple random sample is a subset of individuals (a sample) chosen from a larger set (a population). Each individual is chosen randomly and entirely by chance, such that each individual has the same probability of being chosen at any stage during the sampling process, and each subset of k individuals has the same probability of being chosen for the sample as any other subset of k.
Answer:
Part one: The function rule for the area of the rectangle is A(x) = 3x² - 2x
Part two: The area of the rectangle is 8 feet² when its width is 2 feet
Step-by-step explanation:
Assume that the width of the rectangle is x
∵ The width of the rectangle = x feet
∵ The length of the rectangle is 2 ft less than three times its width
→ That means multiply the width by 3, then subtract 2 from the product
∴ The length of the rectangle = 3(x) - 2
∴ The length of the rectangle = (3x - 2) feet
∵ The area of the rectangle = length × width
∴ A(x) = (3x - 2) × x
→ Multiply each term in the bracket by x
∵ A(x) = x(3x) - x(2)
∴ A(x) = 3x² - 2x
∴ The function rule for the area of the rectangle is A(x) = 3x² - 2x
∵ The rectangle has a width of 2 ft
∵ The width = x
∴ x = 2
→ Substitute x by 2 in A(x)
∵ A(2) = 3(2)² - 2(2)
∴ A(2) = 3(4) - 4
∴ A(2) = 12 - 4
∴ A(2) = 8
∴ The area of the rectangle is 8 feet² when its width is 2 feet
Answer:
24
Step-by-step explanation:
Answer:
1. Statistics
2. Sample
3. Population
4. Variable
5. Data
6. Parameter
Step-by-step explanation:
1. Statistics is the mean of the sample taken - The average speed that the 250 randomly selected drivers drove on Highway 50
2. Sample is the representative part of the population - The 250 randomly selected drivers who were on Highway 50
3. Population is the group of people from which the sample was taken - All people who drive on Highway 50
4. Variable is a quantity that has values which differ - The speed that a driver drives on Highway
5. Data is information obtained used for a specific purpose - The list of the 250 speeds that the drivers studied drove
6. Parameter is the mean of a population - The average speed that all drivers go on Highway 50