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
Mama L [17]
3 years ago
12

What is the sum of the measures of the interior angles of a regular polygon if each exterior angle measures 90 degrees

Mathematics
2 answers:
babunello [35]3 years ago
6 0
E is the answer just multiply 90 times how ever  many sides there is like if it is four sides the answer 360
trasher [3.6K]3 years ago
4 0
E. 360 Degrees
Hope this helped
You might be interested in
In San Jose a sample of 73 mail carriers showed that 30 had been bitten by an animal during one week. In San Francisco in a samp
dsp73

Answer:

(0.411-0.7) - 1.96 \sqrt{\frac{0.411(1-0.411)}{73} +\frac{0.7(1-0.7)}{80}}=-0.4401  

(0.411-0.7) + 1.96 \sqrt{\frac{0.411(1-0.411)}{73} +\frac{0.7(1-0.7)}{80}}=-0.1380  

We are confident at 95% that the difference between the two proportions is between -0.4401 \leq p_B -p_A \leq -0.1380

1.  -.4401 ≤ p1 - p2 ≤ -.1380

4.  The rate of mail carriers being bitten in San Jose is statistically less than the rate San Francisco at α = 5%

Step-by-step explanation:

In San Jose a sample of 73 mail carriers showed that 30 had been bitten by an animal during one week. In San Francisco in a sample of 80 mail carriers, 56 had received animal bites. Is there a significant difference in the proportions? Use a 0.05. Find the 95% confidence interval for the difference of the two proportions. Sellect all correct statements below based on the data given in this problem.

1.  -.4401 ≤ p1 - p2 ≤ -.1380

2.  -.4401 ≤ p1 - p2 ≤ .1380

3.  The rate of mail carriers being bitten in San Jose is statistically greater than the rate San Francisco at α = 5%

4.  The rate of mail carriers being bitten in San Jose is statistically less than the rate San Francisco at α = 5%

5.  The rate of mail carriers being bitten in San Jose and San Francisco are statistically equal at α = 5%

Solution to the problem

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

p_1 represent the real population proportion for San Jose

\hat p_1 =\frac{30}{73}=0.411 represent the estimated proportion for San Jos

n_1=73 is the sample size required for San Jose

p_2 represent the real population proportion for San Francisco

\hat p_2 =\frac{56}{80}=0.7 represent the estimated proportion for San Francisco

n_2=80 is the sample size required for San Francisco

z represent the critical value for the margin of error  

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})  

The confidence interval for the difference of two proportions would be given by this formula  

(\hat p_1 -\hat p_1) \pm z_{\alpha/2} \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1} +\frac{\hat p_2 (1-\hat p_2)}{n_2}}  

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=1.96  

And replacing into the confidence interval formula we got:  

(0.411-0.7) - 1.96 \sqrt{\frac{0.411(1-0.411)}{73} +\frac{0.7(1-0.7)}{80}}=-0.4401  

(0.411-0.7) + 1.96 \sqrt{\frac{0.411(1-0.411)}{73} +\frac{0.7(1-0.7)}{80}}=-0.1380  

We are confident at 95% that the difference between the two proportions is between -0.4401 \leq p_B -p_A \leq -0.1380

Since the confidence interval contains all negative values we can conclude that the proportion for San Jose is significantly lower than the proportion for San Francisco at 5% level.

Based on this the correct options are:

1.  -.4401 ≤ p1 - p2 ≤ -.1380

4.  The rate of mail carriers being bitten in San Jose is statistically less than the rate San Francisco at α = 5%

8 0
3 years ago
Freee pointsssssssssss
Ugo [173]
Thanks for the free points! Have a fantastic day!
4 0
3 years ago
Read 2 more answers
What is the sum of the measures of the exterior angles of this triangle
Sever21 [200]

Answer:

360°

Step-by-step explanation:

The sum of all the exterior angles of a triangle is equal to 360 degrees.

3 0
3 years ago
Read 2 more answers
three friends earned more than $200 washing cars. they paid there parents $28 for supplies and divided the rest of money equally
makvit [3.9K]
So
x=earned
x>200
they paid their parrents 28 for supplies (this assumes that they paied 28 altogether and not 28 each)
so subtract 28 from pay
new pay=y
y>200-28
y>172
divided it among themselves (3)
172/3=57 and 1/3=57.33
they each earned more that $57.33
4 0
2 years ago
I really need help!!!!
Brilliant_brown [7]
Check out the attached image for the answers. 

-----------------------

Statement 2 is blank, but it has the reasoning "Corresponding angles postulate"
Because BD || AE, we know that the corresponding angles are congruent. 
One pair of corresponding angles is angle 1 and angle 4. This is because they are on the same side of the transversal AC and they are both above their parallel line counter-part. Similarly, angle 2 and angle 3 are another corresponding pair.
So you'll have "angle1=angle4, angle3=angle2" in the first blank slot

-----------------------

Reason 3 is blank. The statement is that triangle ACE is similar to triangle BCD. The reason why the are similar is the AA (angle angle) similarity postulate. This says that if you know two pairs of angles are congruent, then the triangles are similar. The two pairs of angles were mentioned back on the previous line (line 2)
So you'll put "Angle-Angle Similarity Postulate" in the second blank.

-----------------------

Look at the line just above the last line. Here we have
1 + (BA/CB) = 1 + (DE/CD)
If we subtract 1 from both sides, we end up with,
BA/CB = DE/CD
which is what will go in the last blank space

Side Note: The last statement will always be what you want to prove. So you can just look at the very top of the problem where it says "Prove:" under the "Given" part. Then just copy/paste the statement you want to prove, which in this case is BA/CB = DE/CD

4 0
3 years ago
Other questions:
  • Find the value of cos θ if the angle θ is in the third quadrant and sinθ= -0.8
    12·1 answer
  • two families bought tickets for a game. one family paid $71 for 6 adults and 2 children. another family paid $56.50 for 4 childr
    15·1 answer
  • A line passes through the point and has a slope of -4/3 and (6, -6).
    5·1 answer
  • Simplify Negative 8 over 2 divided by 6 over negative 3. −4 2 −2 4
    7·1 answer
  • The length of a rectangle is 4 feet more than 4 times the width. If the area is 48 square feet, find the width and length.
    5·1 answer
  • Make x the subject of the formula y=ax
    9·1 answer
  • Match the parametric equations with the verbal descriptions of the surfaces by putting the letter of the verbal description to t
    6·1 answer
  • Based on a poll, among adults who regret getting tattoos, 22% say that they were too young when they got their tattoos. Assume t
    15·1 answer
  • If y=1/2x-2 determine the value of y when x=-12
    14·2 answers
  • Solve the following for j: 2(k+j) = 4m
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!