Answer:
49 - x^2
Step-by-step explanation:
(7+x)(7-x)
We know this is the difference of squares
(a-b) (a+b) = a^2 - b^2
7^2 - x^2 = 49-x^2
We can also FOIL
first = 7*7 = 49
Outer: = 7x
Inner: = -7x
Last : -x*x = -x^2
Add them together
49 +7x-7x - x^2
Combine like terms
49-x^2
Answer:
There is a 95% confidence that the true mean height of all male student at the large college is between the interval (63.5, 74.4).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population mean is:

The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.
Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.
The 95% confidence interval for the average height of male students at a large college is, (63.5 inches, 74.4 inches).
The 95% confidence interval for the average height of male students (63.5, 74.4) implies that, there is a 0.95 probability that the true mean height of all male student at the large college is between the interval (63.5, 74.4).
Or, there is a 95% confidence that the true mean height of all male student at the large college is between the interval (63.5, 74.4).
Answer:
x ≤ 2
Step-by-step explanation:
We are given the inequality:

First, get rid of the denominator by multiplying both sides by 2:

Add both sides by 6 then subtract both sides by x:

Then divide both sides by 3:

Therefore, the answer is x ≤ 2
Answer:

Step-by-step explanation:
We want to find the distance between two points, so the following formula is used.

Where (x₁, y₁) and (x₂, y₂) are the points we are finding the distance between.
We are given the points (-2, -1) and (3,2). If we match the corresponding value and variable we see that:
Substitute the values into the formula.

Solve the parentheses.
- -2 -3 = -5
- 2--1 = 2+ 1 = 3

Solve the exponents.
- (-5)²= -5*-5= 25
- (3)²= 3*3=9

Add.

This radical cannot be simplified, so the distance between the two points is <u>√34</u> and <u>choice 3 </u> is correct.
Answer:
Step-by-step explanation:
<u>Given equation:</u>
<u>The cost of 3.5 lb of sour belts:</u>
<u>Simplify:</u>