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gladu [14]
2 years ago
7

Scott wants to fence three sides of a rectangular exercise yard for his dog. The fourth side of the exercise yard will be a side

of the house. He has 200 feet of fencing available. Find the dimensions that will enclose the
maximum area.
a
The fence parallel to the house is
the yard is
feet, the fence perpendicular to the house is
feet and the area of
square feet
Mathematics
1 answer:
Natali [406]2 years ago
7 0

Answer:

66 2/3     66  2/3      4 444.44 ft^2

Step-by-step explanation:

the largest area will be a square

200/3 = 66 2/3 feet  side length

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Body armor provides critical protection for law enforcement personnel, but it does affect balance and mobility. The article "Imp
yKpoI14uk [10]

Answer:

No, there is not enough evidence to support the claim that true average task time with armor is less than 2 seconds.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that true average task time with armor is less than 2 seconds.

Then, the null and alternative hypothesis are:

H_0: \mu=2\\\\H_a:\mu< 2

The significance level is 0.01.

The sample has a size n=52.

The sample mean is M=1.95.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.2.

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

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.2}{\sqrt{52}}=0.028

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{1.95-2}{0.028}=\dfrac{-0.05}{0.028}=-1.803

The degrees of freedom for this sample size are:

df=n-1=52-1=51

This test is a left-tailed test, with 51 degrees of freedom and t=-1.803, so the P-value for this test is calculated as (using a t-table):

P-value=P(t

As the P-value (0.039) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that true average task time with armor is less than 2 seconds.

3 0
2 years ago
Which choices are correct when determining the distance between −56 and −31?
lawyer [7]

Answer:

I dont know sorry so much

6 0
3 years ago
A triangle has area 42 cm squared find the height in centimeters if it is 5 cm shorter than the base
topjm [15]
<span>Base = 12cm
Height = 7cm</span>
3 0
2 years ago
You are one 8-aristotle students. Camie, your math class president, is designing a geometrical shape flower pots as a fund-raisi
8_murik_8 [283]

Answer:

422332423fund-raising project. The cost of paint color needed is php 1,200 plus php 45 each pot. She estimates that your class will design 80 pots and sell designed pots for php 100 each.

Direction: answer the following questions below then, decide if you are in favor of camie's plan. write your answers on the spacfund-raising project. The cost of paint color needed is php 1,200 plus php 45 each pot. She estimates that your class will design 80 pots and sell designed pots for php 100 each.

Direction: answer the following questions below then, decide if you are in favor of camie's plan. write your answers on the spac

Step-by-step explanation:

fund-raising project. The cost of paint color needed is php 1,200 plus php 45 each pot. She estimates that your class will design 80 pots and sell designed pots for php 100 each.

Direction: answer the following questions below then, decide if you are in favor of camie's plan. write your answers on the spac

8 0
2 years ago
Please Answerrr! I need help ASAPP!
MArishka [77]

80

Step-by-step explanation:

5×6 = 30 and 30×8 = 240 divide that by three you get 80

6 0
2 years ago
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