Solve this answer for my test thank you

Solve the following inequality. 21<_-3(x - 4) < 30 A. 28<_x < 37 B. -3 <_ x < 6 C. -6 < x <_ -3 D. -10 &

Aloiza [94]

Answer:

Option C $-6$

Step-by-step explanation:

we have

$21\leq -3(x-4)$

The compound inequality can be divided into two inequality

$21\leq -3(x-4)$ -----> inequality A

$-3(x-4)$ ----> inequality B

Solve inequality A

$21\leq -3x+12$

$9\leq -3x$

Divide by -3 both sides

when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

$-3\geq x$

Rewrite

$x\leq -3$

The solution of the inequality A is the interval (-∞,-3]

Solve the inequality B

$-3x+12$

$-3x$

Divide by -3 both sides

when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

$x>-6$

The solution of the inequality B is the interval [-6,∞)

The solution of the compound inequality is

[-6,∞) ∩ (-∞,-3]=(-6,-3]

$-6$

3 0

3 years ago

if you are told only that you scored 80th percentile do you know from the description exactly how it wad calculated? Explain

Dmitriy789 [7]

<span>We know that there is no universal acceptance meaning of a percentile. When someone told you that you are in the 80th percentile, the meaning of that is you have achieved the lowest score that is greater than 80 percent of the score. It is calculated by using the formula <span>R = P/100 x (N + 1)</span></span>

3 0

3 years ago

(20 pts!) if the base of the roof has length 40 feet and x=30, which of the following gives the height of the roof?

musickatia [10]

Answer:

23.094 ft approximately

(If you want your answer in a different format, let me know please.)

Step-by-step explanation:

I would have solve this using tangent since the side opposite to x is asked for and the adjacent side to side is given as having a measurement of 40 ft.

But I think they want you to use the formula:

$l=\frac{b}{\cos(x)}$ .

$l=\frac{40}{\cos(30)}$

Input into calculator:

$l=46.188$ (approximation)

l represents the length of the roof.

So we have l=46.188 and b=40.

We must use the Pythagorean Theorem to find the height,h, for of the roof.

l is the hypotenuse.

$h^2+40^2=46.188^2$

$h^2+1600=2133.331$

Subtract 1600 on both sides:

$h^2=533.331$

Take square root of both sides:

$h=23.094$

The answer is 23.094 feet for the height that roof reaches on the building.

I want to show you another way:

$\tan(x)=\frac{\text{opposite}}{\text{adjacent}}$

$\tan(30)=\frac{h}{40}$

Multiply both sides by 40:

$40\tan(30)=h$

Input into calculator:

$23.094=h$

I didn't do it this way because your problem suggested you use their formula to find the height.

8 0

3 years ago

Read 2 more answers

Pls help with this !!!!!!!

arlik [135]

Both methods assume a normal distribution of the data, but the z-tests are most useful when the standard deviation is known.

OR u can use , z-tests are used when we have large sample sizes (n > 30), whereas t-tests are most helpful with a smaller sample size (n < 30). Both methods assume a normal distribution of the data, but the z-tests are most useful when the standard deviation is known.

7 0

2 years ago

Brianna’s pet lizard measures 15 centimeters long. Her goldfish measures 127 millimeters long. How many centimeters longer is Br

alexira [117]

Answer: 2.3

Step-by-step explanation: you have to simplify 127 millimeters to centimeters which is 12.7 centimeters then subtract by 15 which is 2.3.

8 0

3 years ago

Read 2 more answers