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3 years ago

12

What is the area of a square that has a perimeter of 28 feet

2 answers:

bekas [8.4K]3 years ago

8 0

The answer is A= 49 ft^2

Iteru [2.4K]3 years ago

6 0

49 feet is the area I believe. This is because one side of the perimeter is 7 and to find the area we multiply length times width wich would mean seven times 7 and that is 49. Tell me if you need more explaining.

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Write an equation for the simple harmonic motion of a ball on a spring that starts at its lowest point of 6 inches below equilib

olasank [31]

So a general harmonic equation is Asin(2πt/T). Little t is just a variable. 6 inches is the height of one maximum and one minimum from equilibrium, so that is the amplitude A. T is the period, or the time of one cycle (or wavelength), which is 2 seconds.

The equation is therefore (in terms of seconds and inches), 6*sin(2πt/2), or 6*sin(πt).

6 0

3 years ago

The producer of a certain bottling equipment claims that the variance of all its filled bottles is .027 or less. A sample of 30

o-na [289]

Answer:

$p_v = P(\chi^2_{29}>42.963)=1-0.954=0.0459$

b. between .025 and .05

Step-by-step explanation:

Previous concepts and notation

The chi-square test is used to check if the standard deviation of a population is equal to a specified value. We can conduct the test "two-sided test or a one-sided test".

$\bar X$ represent the sample mean

n = 30 sample size

s= 0.2 represent the sample deviation

$\sigma_o =\sqrt{0.027}=0.164$ the value that we want to test

$p_v$ represent the p value for the test

t represent the statistic

$\alpha=$ significance level

State the null and alternative hypothesis

On this case we want to check if the population standard deviation is less than 0.027, so the system of hypothesis are:

H0: $\sigma \leq 0.027$

H1: $\sigma >0.027$

In order to check the hypothesis we need to calculate the statistic given by the following formula:

$t=(n-1) [\frac{s}{\sigma_o}]^2$

This statistic have a Chi Square distribution distribution with n-1 degrees of freedom.

What is the value of your test statistic?

Now we have everything to replace into the formula for the statistic and we got:

$t=(30-1) [\frac{0.2}{0.164}]^2 =42.963$

What is the approximate p-value of the test?

The degrees of freedom are given by:

$df=n-1= 30-1=29$

For this case since we have a right tailed test the p value is given by:

$p_v = P(\chi^2_{29}>42.963)=1-0.954=0.0459$

And the best option would be:

b. between .025 and .05

6 0

4 years ago

Use trig ratios to find the measure of the angle in this triangle. A .cos^-1(4/5) B. tan(4/5) tan^-1(4/5) C. sin(4/5) D. cos(4/5

ololo11 [35]

Answer:

The answer is A

Step-by-step explanation:

Step 1: Use Cosine to find ∅

Cos∅= $\frac{4}{5}$

∅=Cos $^{-1}$ ( $\frac{4}{5}$ )

Therefore the answer is A

8 0

3 years ago

∠1 and ∠2 are complementary. If m∠1 = 4m∠2, find m∠1

77julia77 [94]

Answer:

∠1 = 72°

Step-by-step explanation:

Complementary angles sum to 90°, thus

∠1 + ∠2 = 90, substitute ∠1 = 4∠2 , thus

4∠2 + ∠2 = 90

5∠2 = 90 ( divide both sides by 5 )

∠2 = 18°

Hence ∠1 = 90 - 18 = 72°

8 0

3 years ago

Please hurry I need please

laiz [17]

Answer:

Since I'm rushing, please give brainliest

Step-by-step explanation:

It is 23.57, trust me :D

6 0

3 years ago

Read 2 more answers