Answer:
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A professor at a university wants to estimate the average number of hours of sleep the students get during exam week. The professor wants to find a sample mean that is within 4.266 hours of the true average for all college students at the university with 99% conconfidence. If the professor knows the standard deviation of the sleep times for all college students is 2.539, what sample size will need to be taken

What is the slope of the line that goes through the points (6, 4) and (8, −2)? A. −6 B. −3 C. − 1 3 D. 3

Write the formula for a function d(x) that describes the distance between the point P and a point (x,y) on the line. You final answer should only involve the variable x. Then d(x) =

5.5x10^9 times 2.3x10^7

What is the value of x in the quadrilateral shown below?12509591059ToO A. 35°OB. 45°O C. 55°

What is the slope of the line that goes through the points (6, 4) and (8, −2)? A. −6 B. −3 C. − 1 3 D. 3

Write the formula for a function d(x) that describes the distance between the point P and a point (x,y) on the line. You final answer should only involve the variable x. Then d(x) =

5.5x10^9 times 2.3x10^7

What is the value of x in the quadrilateral shown below?12509591059ToO A. 35°OB. 45°O C. 55°

(WITH AN EXPLANATION)

will mark brainlest

**Answer:**

Factors: (x²y+6)(y²-11)

**Step-by-step explanation:**

Here's the original equation.

x²y³ - 11x²y + 6y² - 66

Let's separate it into two groups to make it easier.

(x²y³ - 11x²y) + (6y² - 66)

Let's take a look at (x²y³ - 11x²y) first. Do we notice anything that can be removed from the parentheses?

Yes, x²y can be taken from both polynomials to simplify the contents of the parentheses.

Both polynomials have x² and both have at least one y. Combine that to get x²y. That means that within the parentheses y² and - 11 will be left.

So (x²y³ - 11x²y) becomes x²y (y²-11)

This works because if we multiply x²y * (y² - 11) we get (x²y³ - 11x²)

Let's apply this same idea to (6y² - 66).

6 is the only thing in common between the two polynomials.

If we follow the same steps we get 6 (y²-11).

Notice how when we simplified both groups they each had something on the outside and (y² - 11) in the parentheses?

So lets combine the things that were on the outside of both (y² - 11).

What was on the outside of each? x²y was on the outside for the first one, and 6 for the outside of the second one.

This means that if we combine everything and simplify, the factors we have are (x²y+6)(y²-11).

If you want to confirm, work your way backwards using the distributive property. You'll find that when you multiply (x²y+6) * (y² -11) you'll get = x²y³ - 11x²y + 6y² - 66. That was the original equation, so we know that these are the factors.

Hope that helps!

**Answer:**

c = -9/2

**Step-by-step explanation:**

Which of the following inequalities matches the graph?

Looking at the graph the y values does not change, it stays at zero

The shaded area are the numbers under O

This means the answer is y ≤ 0

Hope it helps

-------☆ﾟ.･｡ﾟᵴɒƙυᴚᴀ_ƨȶäᴎ❀

The **statement **that best describes adjacent angles is that adjacent **angles share** a side.

A vertex is where two **non parallel **lines meet.For example a triangle has **3 vertex**.We can also say that vertex is a point where two non parallel lines meet to **form **an angle.

According to the **given** question the best description of adjacent angle is that they share a **side**.

We can say that adjacent **angles **are those angles which are placed **next **to each other.

Adjacent angle also share a **common **vertex but they do not **overlap **each other.

learn more about **vertex **here :

#SPJ2

**Answer:**

The correct answer to this would be **D, adjacent angles share a side.**

**Step-by-step explanation:**

Adjacent angles share a common side as well as a common vertex.

I hope this helps :)

following must be true?

A. An increase in m causes n to increase.

B. When m increases, n tends to decrease.

C. When m increases, n tends to increase.

D. An increase in m causes n to decrease.

**Answer:**

A an increase in m cause n to increase

**Step-by-step explanation:**

a positive correlation means they will travel in the same direction when one is affected.

**Answer:**

Option A: An increase in m causes n to increase.

**Step-by-step explanation:**

A Positive correlation is a relationship between two variables in which both variables move with the same ratio. A positive correlation exists when one variable increases as the other variable increases, or vice-versa.

A perfect positive correlation means that both variables move by the exact same percentage.

Therefore, if there is a strong positive correlation between m and n then V increases and, w tends to increase.

Hope this helped :)

**Answer:**

Please see attachment

**Step-by-step explanation:**

Please see attachment