answer.
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
tatuchka [14]
2 years ago
9

The exterior angle of a regular polygon is one-fifth of its interior angle. How many sides does the polygon have? please answer

it step by step​
Mathematics
1 answer:
ahrayia [7]2 years ago
6 0

Answer:

10

Step-by-step explanation:

We know that interior plus exterior angles add to 180.

1/5 of 180 = 36

36 degrees = exterior angles

180-36=interior angles

180-36=144

To find the number of sides of a polygon you have to do 360/exterior angles

360/36=10

You might be interested in
Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production
Whitepunk [10]

Answer:

32% probability of a defect.

The expected number of defects for a 1000-unit production run is 320.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 10

Standard deviation = 0.15.

Probability of a defect

Weights less than 9.85 oz or greater than 10.15 oz will be classified as defects.

9.85 = 10 - 0.15

10.15 = 10 + 0.15

By the Empirical Rule, 68% of weights are between 9.85 and 10.15, that is, within the limits. 32% are not within the limits.

So there is a 32% probability of a defect.

Expected number of defects for a 1000-unit production run.

E(X) = 0.32*1000 = 320

The expected number of defects for a 1000-unit production run is 320.

5 0
2 years ago
Plot the function y(x)=e–0.5x sin(2x) for 100 values of x between 0 and 10. Use a 2- point-wide solid blue line for this functio
Flauer [41]

Answer:

The plot is attached.

Step-by-step explanation:

Plot the function y(x)=e^–0.5x sin(2x) for 100 values of x between 0 and 10. Use a 2- point-wide solid blue line for this function.

The step value for x is (10-0)/100=0.1.

Plot the function y(x)=e–0.5x cos(2x) on the same axes. Use a 3-point-wide dashed red line for this function.

The step value for x is the same as the previous function.

The plot is attached.

3 0
2 years ago
Read 2 more answers
The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of vi
baherus [9]

Answer: 2185

Step-by-step explanation:

Let p be the proportion of visitors are campers.

Given : The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of visitors who plan to camp in the state.

The prior proportion of visitors are campers : p=0.35

Allowable error : E= 2%= 0.02

We know that the z-value for 95% confidence = z_c=1.96

Then by Central Limit Theorem , the required sample size would be :

n=p(1-p)(\dfrac{z_{c}}{E})^2

\Rightarrow\ n=0.35(1-0.35)(\dfrac{1.96}{0.02})^2\\\\ n= 0.35(0.65)(9604)

Simply , we get

n=2184.91\approx2185  [Rounded to the next whole number.]

Hence, the smallest sample size to estimate the population proportion of campers =2185

7 0
2 years ago
Which of the following best describes the slope of the line below?
Gelneren [198K]

The answer is Vertical Undefined so it's A: Undefined

6 0
2 years ago
Read 2 more answers
Ford Motor Company sells the Fusion SES for $24,400. The Fusion Hybrid sells for $29,975. What is the percentage increase in pri
Lubov Fominskaja [6]
Percent increase is:
Change/original * 100
(29975-24400)/24400
5575/24400= .228 * 100=
22.8%
6 0
2 years ago
Read 2 more answers
Other questions:
  • Which is the factorization of 8x2 13x – 6? (8x – 3)(x 2) (x – 6)(8x 1) (2x – 2)(4x 3) (4x – 1)(2x 6)
    16·2 answers
  • A conical cup is made from a circular piece of paper with radius 10 cm by cutting out a sector and joining the edges as shown be
    10·1 answer
  • Explain the error in the solution below. What additional step needs to be completed? log x – log53 = 2log53 log x = 3log53 log x
    5·2 answers
  • Last week, you spoke with 800 customers in 40 hours."
    8·1 answer
  • Leo had a $30 gift card to use at a coffee shop. He used the entire balance to buy regular-sized coffees, which cost $2, and lar
    8·2 answers
  • If f(x) = [ x] -5 , what is f(8.6
    12·1 answer
  • Explain the steps necessary to convert a quadratic function in standard form to vertex form
    9·2 answers
  • Solve for e <br> 9e-7=7e-11
    14·2 answers
  • Assume the heights in a male population are normally distributed with mean 70.3 inches and standard deviation 4.1 inches. If a r
    8·1 answer
  • Ken and Tami are making necklaces. Ken makes 25 necklaces. Tami makes m more necklaces then Ken. Which expression represents the
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!