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hjlf
3 years ago
15

How do I solve this problem

Mathematics
1 answer:
ziro4ka [17]3 years ago
3 0
You have 3*6=18ft of straight line.  then you have the circumference of a circle with a radius of 3 which is 9p

So the perimeter is 18+9p=46.27 ft (to the nearest hundredth)
You might be interested in
Most individuals are aware of the fact that the average annual repair cost for an automobile depends on the age of the automobil
o-na [289]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Most individuals are aware of the fact that the average annual repair cost for an automobile depends on the age of the automobile. A researcher is interested in finding out whether the variance of the annual repair costs also increases with the age of the automobile. A sample of 26 automobiles 4 years old showed a sample standard deviation for annual repair costs of $120 and a sample of 23 automobiles 2 years old showed a sample standard deviation for annual repair costs of $100. Let 4 year old automobiles be represented by population 1.

State the null and alternative versions of the research hypothesis that the variance in annual repair costs is larger for the older automobiles.

At a 0.01 level of significance, what is your conclusion? What is the p-value?

Answer:

Null hypotheses = H₀ = σ₁² ≤ σ₂²

Alternative hypotheses = Ha = σ₁² > σ₂²

Test statistic = 1.44

p-value = 0.1954

0.1954 > 0.01

Since the p-value is greater than the given significance level therefore, we cannot reject the null hypothesis.

We can conclude that there is no sufficient evidence to support the claim that the variance in annual repair costs is larger for older automobiles.

Step-by-step explanation:

Let σ₁² denotes the variance of 4 years old automobiles

Let σ₂² denotes the variance of 2 years old automobiles

State the null and alternative hypotheses:

The null hypothesis assumes that the variance in annual repair costs is smaller for older automobiles.

Null hypotheses = H₀ = σ₁² ≤ σ₂²

The alternate hypothesis assumes that the variance in annual repair costs is larger for older automobiles.

Alternative hypotheses = Ha = σ₁² > σ₂²

Test statistic:

The test statistic is given by

Test statistic = σ₁²/σ₂²

Test statistic = 120²/100²

Test statistic = 1.44

p-value:

The degree of freedom corresponding to 4 years old automobiles is given by

df₁ = n - 1  

df₁ = 26 - 1  

df₁ = 25

The degree of freedom corresponding to 2 years old automobiles is given by

df₂ = n - 1  

df₂ = 23 - 1  

df₂ = 22

Using Excel to find out the p-value,  

p-value = FDIST(F-value, df₁, df₂)

p-value = FDIST(1.44, 25, 22)

p-value = 0.1954

Conclusion:

When the p-value is less than the significance level then we reject the Null hypotheses

p-value < α   (reject H₀)

But for the given case,

p-value > α

0.1954 > 0.01

Since the p-value is greater than the given significance level therefore, we cannot reject the null hypothesis.

We can conclude that there is no sufficient evidence to support the claim that the variance in annual repair costs is larger for older automobiles.

8 0
3 years ago
Trigonometry
Nadusha1986 [10]

55° is equal to 0.9599 radians.  

Step-by-step explanation:  

Step 1:  

If an angle is represented in degrees, it will be of the form x°.  

If an angle is represented in radians, it will be of the form \frac{\pi}{x}radians.  

To convert degrees to radians, we multiply the degree measure by \frac{\pi}{180}.

For the conversion of degrees to radians,

the degrees in radians = (given value in degrees)(\frac{\pi}{180}).

Step 2:

To convert 50°,  

55\left(\frac{\pi}{180}\right)=\frac{55\pi}{180}.

0.3055 (\pi) =0.9599 radians.

So 55° is equal to 0.9599 radians.

7 0
3 years ago
Read 2 more answers
I need help pleaseee):
ankoles [38]

Answer:

Step-by-step explanation:

7 0
2 years ago
Y=6x/5 +27 find y-intercept and slope
mixas84 [53]

Answer:

  1. General equation of a line is given by y = mx +c, where m is the gradient /slope, c is the intercept. To find for the intercept on y- axis, put x = 0.
  2. y =  \frac{6(0)}{5 }  + 27 \\ y =  \frac{0}{5}  + 27 \\ y = 27 \\ therefore \: the \: intercept \: on \: y \: is \: 27 \\
  3. By comparison,
  4. y =  mx +  \: c \\ y =  \frac{6}{5} x  \:  +27 \\ m =  \frac{6}{5 \: }  \: \\  hence \: slope \: is \:  \frac{6}{5}
5 0
3 years ago
A ray lies on the line MN←→−. It starts at point Q and passes through the points P and R. Which of the following is a correct na
pogonyaev

Answer:

please mark my answer brainliest

Step-by-step explanation:

the correct name will be QP...or QR

3 0
3 years ago
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