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4 years ago

What is the smallest integer greater than 92

Mathematics

1 answer:

mylen [45]4 years ago

4 0

After $92$ , we have the following integers,

$93,94,95,...$

The smallest of these integers is $93$

The smallest integer after $92$ is $93$

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The average price of homes sold in the U.S. in the past year was $220,000. A random sample of 81 homes sold this year showed a s

Molodets [167]

Answer:

We conclude that there has been a significant decrease in the average price homes.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $220,000

Sample mean, $\bar{x}$ = $210,000

Sample size, n = 81

Significance level, α = 0.051

Population standard deviation, σ = $36,000

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 220000\text{ dollars}\\H_A: \mu < 210000\text{ dollars}$

We use One-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{210000 - 220000}{\frac{36000}{\sqrt{81}} } = -2.5$

Calculating the p-value from the z-table, we have:

P-value = 0 .00621

Since,

P-value < Significance level

We reject the null hypothesis and accept the alternate hypothesis. Thus, there has been a significant decrease in the average price homes.

5 0

3 years ago

What is the measure of

gizmo_the_mogwai [7]

Answer: Q = 124 and P = 29

Step-by-step explanation:

Triangles always = 180 degrees so do straight lines.

6 0

3 years ago

Please help???????? ASAP

Keith_Richards [23]

Answer:

The answer is 9

Step-by-step explanation:

You each exponent to get 81/9. You simplify and it gives you 9.

8 0

3 years ago

Read 2 more answers

Find three consecutive odd integers such that the sum of the smallest number and twice the largest number is equal to fifteen mo

inn [45]

Answer:

The three consecutive odd integers are: -11, -13 and -15.

Step-by-step explanation:

Let the smallest number be represented by x. then the three consecutive odd integers are: x, (x + 2) and (x = 4).

The sum of the smallest number and twice the larges number = x + 2(x + 4)

Fifteen more than four times the middle number = 4(x + 2) + 15

So that;

x + 2(x + 4) = 4(x + 2) + 15

x + 2x + 8 = 4x + 8 + 15

3x + 8 = 4x + 23

3x - 4x = 23 - 8

-1x = 15

⇒ x = -15

(x + 2) = (-15 + 2) = -13

(x + 4) = (-15 + 4) = -11

The three consecutive odd integers are: -11, -13 and -15.

7 0

4 years ago

A pyramid with a square base has a volume of 912 cubic feet and a height of 19 feet. Find the side length of the square base

Anit [1.1K]

The answer that you are looking for is 32

6 0

3 years ago