1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Colt1911 [192]
3 years ago
8

Angles question please help math

Mathematics
1 answer:
Natali [406]3 years ago
3 0
The answer should be 62 °
180°-118°=62°
Subtract 118° from 180° because a parallel line is 180°. So you just have to find the other side of the line.
Hope this helps.
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
A piece of paper is 11 inches long and 8.5 inches wide. What is the area of the paper in square centimeters? (Please show work!)
goldenfox [79]
If you would like to know what is the area of the paper in square centimeters, you can calculate this using the following steps:

1 inch equals to 2.54 centimeters.

11 inches = 11 * 2.54 = <span>27.94 centimeters long
8.5 inches = 8.5 * 2.54 = </span><span>21.59 centimeters wide

11 inches long * 8.5 inches wide = 27.94 centimeters long * 21.59 centimeters wide = </span>27.94 * 21.59 = 603.22 square centimeters
<span>
The correct result would be </span>603.22 square centimeters.<span>
</span>
3 0
3 years ago
#3 is what I need help on
miv72 [106K]

Answer: 11.05

Step-by-step explanation:

Divide 5.20 by 8 to find the price of each bag (which is .65 cents.) Multiple .65 by 20 (13). 15% of 13 is 1.95. 13 - 1.95 is 11.05

PS: 1.95 is the discount. Hope this helps. Have a good day.

3 0
2 years ago
Read 2 more answers
if your car gets 28 miles per gallon, how much does it cost to drive 310 miles when gasoline cost $3.50 per gallon?
Butoxors [25]
Hi,


Work:

28miles = 1gallon

To find the cost of gallons spend for 310 miles you need to first find the amount of gallons consumed on 310 miles path.

310 \div 28 = 11.07gallons

If each costs 3.5$ you need to multiply gallons with money.

3.5 \times 11.07 = 38.745

You would spend 38.745$ to drive 310 miles.

Hope this helps.
r3t40
3 0
3 years ago
The time that a randomly selected individual waits for an elevator in an office building has a uniform distribution over the int
rewona [7]

Answer:

The mean of the sampling distribution of x is 0.5 and the standard deviation is 0.083.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the population, we have that:

Mean = 0.5

Standard deviaiton = 0.289

Sample of 12

By the Central Limit Theorem

Mean = 0.5

Standard deviation s = \frac{0.289}{\sqrt{12}} = 0.083

The mean of the sampling distribution of x is 0.5 and the standard deviation is 0.083.

4 0
3 years ago
Other questions:
  • Find the slope of the line.
    6·1 answer
  • Two missiles, A and B, are shot from two different launch pads. The path of missile A can be represented by the quadratic functi
    7·1 answer
  • How can you solve an equation with the variable on both sides?
    9·1 answer
  • Which points are on a plane curve described by the following set of parametric equations?
    14·1 answer
  • If the first and third of three consecutive even integers are added, the result is 22 less than three times the second integer.
    8·1 answer
  • Richard has a credit card that allows him to defer credit card payments for 1 year if he becomes unemployed. The interest on the
    6·1 answer
  • How do you know 4/5 is already simpless? Explain
    5·2 answers
  • Solve.<br> Х<br> -<br> - 5<br> - 8<br> The solution is x=
    11·2 answers
  • Solve for x. (hint- The answer is negative!) *<br> (1 Point)<br> x + 69<br> 25°
    13·1 answer
  • Car X weighs 136 pounds more than car Z. Car Y weighs 117 pounds more than car Z. The total weight of all three cars is 9439 pou
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!