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3 years ago

Answer this question.

Mathematics

2 answers:

erastovalidia [21]3 years ago

8 0

Answer:

B. y = -2x + 5

Step-by-step explanation:

By looking at the table of values, as x increases by 1, y decreases by 2. This means the slope is -2. By process of elimination, this leaves with answer B.

Sindrei [870]3 years ago

6 0

The answer is B
Math
Explain

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According to USA Today, the average cost of a private university is $50,000 with a population standard deviation of $2,500. 100

Colt1911 [192]

Using the z-distribution, it is found that since the p-value is less than 0.05, there is evidence to support the claim that the average cost of private universities are decreasing.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if the average cost is still of $50,000, that is:

$H_0: \mu = 50000$

At the alternative hypothesis, it is tested if the average cost is decreasing, that is:

$H_1: \mu < 50000$

<h3>What is the test statistic?</h3>

The test statistic is:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the null hypothesis.

$\sigma$ is the standard deviation of the population.

n is the sample size.

The parameters for this problem are:

$\overline{x} = 49450, \mu = 50000, \sigma = 2500, n = 100$

Hence:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{49450 - 50000}{\frac{2500}{\sqrt{100}}}$

z = -2.2.

<h3>What is the p-value and the conclusion?</h3>

Using a z-distribution calculator, for a left-tailed test, as we are testing if the mean is less than a value, with z = -2.2, the p-value is of 0.0139.

Since the p-value is less than 0.05, there is evidence to support the claim that the average cost of private universities are decreasing.

More can be learned about the z-distribution at brainly.com/question/16313918

#SPJ1

8 0

2 years ago

Which expression is an equivalent expression of 12x + 10 + 4y?

fomenos

Answer:

D. 2(6x + 5+ 2y)

Step-by-step explanation:

12x + 10 + 4y

Factor out a 2

2(6x+5+2y)

3 0

3 years ago

Read 2 more answers

The Question Is:

lora16 [44]

Answer:

C) ∠3 and ∠6 is the CORRECT OPTION.

Step-by-step explanation:

Here, the image is UNATTACHED. Attaching image here for the reference.

Given: JL and MP are parallel.

Alternate Interior angles is a pair of angles formed when there is a common intersecting line between two parallel lines.

As JL and MP are parallel.

and KN is a traversal. So, the pair of Alternate Interior angles so formed are:

a) ∠3 and ∠6

b) ∠4 and ∠5

Now, out of the given options:

A. ∠3 and ∠4 is a LINEAR PAIR

B. ∠1 and ∠6 makes no pair

C. ∠3 and ∠ 6 is a Alternate Interior angles pair

D. ∠5 and ∠6 LINEAR PAIR

Hence, ∠3 and ∠ 6 is a Alternate Interior angles pair.

3 0

4 years ago

On an escalator, you move 2 feet vertically for every 3 feet you move horizontally. When you reach the top of the escalator, you

gulaghasi [49]

Answer:

60 Feet

Step-by-step explanation:

5 0

3 years ago

Determine whether the parallelogram is a rhombus, rectangle, square, or none. Explain.

Tju [1.3M]

QRST is a rhombus

Let’s look at the diagonals
Length QS = sr(4^2 + 0) = 4
Length RT = sr(0 + 6^2) = 6
This means it cannot be a square or rectangle as they both have equal length diagonals.

QS is horizontal (y values same)
RT is horizontal (x values same)
This means it is a rhombus because diagonals are perpendicular and different lengths.

Squares have perpendicular diagonals of same length
Rectangles have diagonals of same length but not perpendicular

8 0

3 years ago