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fiasKO [112]
3 years ago
15

A professor of statistics at NCSU refutes the claim that the average student spends 3 hours studying for the midterm exam. Which

hypothesis is used to test the claim?
A. H_0: μ < = 3 vs. H_1: μ > 3
B. H_0: μ = 3 vs. H_1: μ ≠ 3
C. H_0: μ ≠ 3 vs. H_1: μ = 3
D. H_0: μ > = 3 vs. H_1: μ < 3
Mathematics
1 answer:
sladkih [1.3K]3 years ago
6 0

Answer:

D. H_0: μ > = 3 vs. H_1: μ < 3

Step-by-step explanation:

A professor of statistics at NCSU refutes the claim that the average student spends 3 hours studying for the midterm exam.

The claim is that the average student spends 3 hours studying, so the null hypothesis is that the mean is at least 3, that is:

H_0: \mu \geq 3

At the alternative hypothesis, we test if the mean is less than 3, so:

H_1: \mu < 3

This means that the correct answer is given by option D.

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Roman55 [17]

9514 1404 393

Answer:

  C.  (10, 5), (5, 0), (0, 5)

Step-by-step explanation:

In order for the square to have an area of 50 square units, its side lengths must be √50 = 5√2 units long. The only way to get such a length with integer coordinates is for the sides of the square to be themselves the diagonals of a square 5 units on a side.

That is, two of the other vertices of the square must be among ...

  (5±5, 10±5) ⇒ (10, 15), (0, 15), (10, 5), (0, 5)

Only choice C contains two of the vertices on this list.

7 0
3 years ago
an exponential function of form f(x)=b^x includes the points (2, 16), (3, 64), and (4, 256) what is the value of b
timofeeve [1]

The value of b is 4

Step-by-step explanation:

The form of an exponential function is f(x)=a(b)^{x} , where

  • a is the initial value (value f(x) at x = 0
  • b is the growth/decay factor
  • T find the values of a and b substitute x and f(x) by the coordinates of any points belong to the function

∵ f(x)=b^{x}

∵ The function includes the points (2 , 16) , (3 , 64) , (4 , 256)

- To find b substitute x and f(x) by the coordinates if any point above

∵ x = 2 and f(x) = 16

∴ 16=(b)^{2}

- Take √ for both sides

∴ ± 4 = b

Substitute x by 3 and f(x) 64 to check your answer

∵ 64=(b)^{3}

- Take ∛ for both sides

∴ 4 = b

∴ The value of b is 4 only

The value of b is 4

Learn more:

You can learn more about the inverse of the exponential function in brainly.com/question/11921476

#LearnwithBrainly

5 0
3 years ago
What is the answer to (6x-2)-(-x+5)
UNO [17]

Answer:

(6x-2) - (-x+5)

= 6x-2 +x -5

= 7x -7

if you're trying to solve for x, then look below

7x=7

x=1

4 0
3 years ago
What are the expressions?
Romashka [77]
<h2>Explanation:</h2>

Here we need to solve some expressions. Remember the following rules:

(+)(+)=+ \\ \\ (-)(-)=+ \\ \\ (+)(-)=- \\ \\ (-)(+)=-

Then, from the left side:

5-2\cdot 7=5-14=\boxed{-9} \\ \\ 5-2\cdot 4=5-8=\boxed{-3} \\ \\ 5-2\cdot 0=5-0=\boxed{5} \\ \\ 5-2\cdot -3=5+6=\boxed{11} \\ \\ 5-2\cdot 10=5-20=\boxed{-15} \\ \\ 5-2\cdot -8=5+16=\boxed{21} \\ \\

from the right side:

-(-4)+3=4+3=\boxed{7} \\ \\ -(6)+3=-6+3=\boxed{-3} \\ \\ -(-8)+3=8+3=\boxed{11} \\ \\ -(-5)+3=5+3=\boxed{8} \\ \\ -(2)+3=-2+3=\boxed{1} \\ \\ -(15)+3=-15+3=\boxed{-12} \\ \\ -(-6)+3=6+3=\boxed{9}

4 0
3 years ago
what is the length, in units, of the hypotenuse of a right triangle if each of the two legs is 2 units?
kykrilka [37]
To figure this out, you'd use the a^2+b^2=c^2 formula. Since you have your two sides, you want to find the value for c. So, you'd plug in two for a and b.

2^2+2^2=c^2

4+4=c^2

Add up the two fours to get 8 and square root it, and you get 2.828427124...
4 0
3 years ago
Read 2 more answers
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