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3 years ago

Explain how to find the square root of a perfect square

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

8 0

Answer:

If the picture answer helps you PLEASE mark me as brainliest

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Joan's Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a part

Gnoma [55]

Answer:

A) Null and alternative hypothesis

$H_0: \mu=2\\\\H_a:\mu\neq 2$

B) M = 2.2 hours

C) s = 0.52 hours

D) P-value = 0.255

E) At a significance level of 0.05, there is not enough evidence to support the claim that the mean tree-planting time significantly differs from two hours.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the mean tree-planting time significantly differs from two hours.

Then, the null and alternative hypothesis are:

$H_0: \mu=2\\\\H_a:\mu\neq 2$

The significance level is 0.05.

The sample has a size n=10.

The sample mean is M=2.2.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.52.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.52}{\sqrt{10}}=0.1644$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{2.2-2}{0.1644}=\dfrac{0.2}{0.1644}=1.216$

The degrees of freedom for this sample size are:

$df=n-1=10-1=9$

This test is a two-tailed test, with 9 degrees of freedom and t=1.216, so the P-value for this test is calculated as (using a t-table):

$\text{P-value}=2\cdot P(t>1.216)=0.255$

As the P-value (0.255) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

At a significance level of 0.05, there is not enough evidence to support the claim that the mean tree-planting time significantly differs from two hours.

Sample mean and standard deviation:

 $M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{10}(1.7+1.5+2.6+. . .+2.3)\\\\\\M=\dfrac{22}{10}\\\\\\M=2.2\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{9}((1.7-2.2)^2+(1.5-2.2)^2+(2.6-2.2)^2+. . . +(2.3-2.2)^2)}\\\\\\s=\sqrt{\dfrac{2.4}{9}}\\\\\\s=\sqrt{0.27}=0.52\\\\\\$

3 0

3 years ago

What is 3/22 tines 33

kumpel [21]

4.5 is the answer hope it helps

5 0

3 years ago

Read 2 more answers

I will give brainlyest

r-ruslan [8.4K]

Answer:

Gretchen has mostly more than Manuel.

Step-by-step explanation:

Plz mark as Brainliest!

5 0

3 years ago

Two best friends, Pluto and Goofy, have very different hobbies. Pluto likes to skydive from a height of 24,568 feet. Goofy likes

DIA [1.3K]

Answer:

They are 24, 692 feet aprart

Step-by-step explanation:

Let us assume at the instance we are measuring their position, that Pluto is at the highest point in the air, which is = 24,568 feet, and Goofy is at the lowest point of the sea (that he can go) = 124 feet.

Before we can proceed with the addition, we need to establish a datum, which will serve as the reference point from which the two distances are measured. This definitely is the sea level, because altitude and depth are usually measured above and below sea level.

Pluto's location to the sea level = 24,568 feet

Goofy's Location to the sea level = 124 feet

their distance apart = 24,568 feet + 124 feet =24, 692 feet apart

7 0

3 years ago

Simplify (√(π -√17)^2)

svetlana [45]

Answer: The answer is Iπ + √17|.

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2 years ago

Explain how to find the square root of a perfect square​

Explain how to find the square root of a perfect square