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
julia-pushkina [17]
3 years ago
15

The regular nonagon has rotational symmetry of which angle measures

Mathematics
1 answer:
Margarita [4]3 years ago
6 0
Rotational symmetry = 360 / # sides
rotational symmetry = 360 / 9
rotational symmetry = 40 degrees


You might be interested in
What is 6.877 rounded to the nearest whole number
stiks02 [169]
It is 7, because you always have to round up if the next decimal is greater than or equal to 5 (depending on where you live). 
6 0
3 years ago
Read 2 more answers
The temperature of a certain solution is estimated by taking a large number of independent measurements and averaging them. The
Mademuasel [1]

Answer:

(a) The 95% confidence interval for the temperature is (36.80°C, 37.20°C).

(b) The confidence level is 68%.

(c) The necessary assumption is that the population is normally distributed.

(d) The 95% confidence interval for the temperature if 10 measurements were made is (36.93°C, 37.07°C).

Step-by-step explanation:

Let <em>X</em> = temperature of a certain solution.

The estimated mean temperature is, \bar x=37^{o}C.

The estimated standard deviation is, s=0.1^{o}C.

(a)

The general form of a (1 - <em>α</em>)% confidence interval is:

CI=SS\pm CV\times SD

Here,

SS = sample statistic

CV = critical value

SD = standard deviation

It is provided that a large number of independent measurements are taken to estimate the mean and standard deviation.

Since the sample size is large use a <em>z</em>-confidence interval.

The critical value of <em>z</em> for 95% confidence interval is:

z_{0.025}=1.96

Compute the confidence interval as follows:

CI=SS\pm CV\times SD\\=37\pm 1.96\times 0.1\\=37\pm0.196\\=(36.804, 37.196)\\\approx (36.80^{o}C, 37.20^{o}C)

Thus, the 95% confidence interval for the temperature is (36.80°C, 37.20°C).

(b)

The confidence interval is, 37 ± 0.1°C.

Comparing the confidence interval with the general form:

37\pm 0.1=SS\pm CV\times SD

The critical value is,

CV = 1

Compute the value of P (-1 < Z < 1) as follows:

P(-1

The percentage of <em>z</em>-distribution between -1 and 1 is, 68%.

Thus, the confidence level is 68%.

(c)

The confidence interval for population mean can be constructed using either the <em>z</em>-interval or <em>t</em>-interval.

If the sample selected is small and the standard deviation is estimated from the sample, then a <em>t</em>-interval will be used to construct the confidence interval.

But this will be possible only if we assume that the population from which the sample is selected is Normally distributed.

Thus, the necessary assumption is that the population is normally distributed.

(d)

For <em>n</em> = 10 compute a 95% confidence interval for the temperature as follows:

The (1 - <em>α</em>)% <em>t</em>-confidence interval is:

CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}

The critical value of <em>t</em> is:

t_{\alpha/2, (n-1)}=t_{0.025, 9}=2.262

*Use a <em>t</em>-table for the critical value.

The 95% confidence interval is:

CI=37\pm 2.262\times \frac{0.1}{\sqrt{10}}\\=37\pm 0.072\\=(36.928, 37.072)\\\approx (36.93^{o}C, 37.07^{o}C)

Thus, the 95% confidence interval for the temperature if 10 measurements were made is (36.93°C, 37.07°C).

3 0
2 years ago
Plz help! Determine whether the equation represents a direct variation. If it​ does, find the constant of variation.
Finger [1]

Answer:

It does not have a direct variation, because y doesnt vary directly with x

Step-by-step explanation:

Hope This Helps!!!

8 0
3 years ago
Read 2 more answers
A sample from a group of people will not always be representative of the entire group.
worty [1.4K]
True of False? It depends on the scenario of the data size.
3 0
2 years ago
Read 2 more answers
In AABC, a = 8, b = 5, and c = 9. What is the value of<br> angle B.
FromTheMoon [43]
Can you show the problem ?
8 0
3 years ago
Other questions:
  • Im doing a test review and I have no idea how to do this​
    14·1 answer
  • Please Help! Will mark brainliest!
    8·2 answers
  • TIMED TIMED
    6·2 answers
  • The key on a map shows 3/8th of an inch is 60 miles. If two cities are 4 5/8 inches apart, what is this value in miles?
    5·1 answer
  • What is the distance from (-2,4) to (0,-6)? Round your answer to the nearest hundredth.
    5·2 answers
  • The number y of raccoons in an area after x years can be modeled by the function y= 0.4x^2+2x+2. When were there about 45 raccoo
    10·1 answer
  • Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for
    13·2 answers
  • Nicholas borrowed $250 from his parents to buy a video game system. He has
    5·2 answers
  • PLLLLLLEEEEEEEEZZZZZZZZZ AAAAAANNNNSSSSSEEEEERRRRRR will give brainlist! One million dollars! A megayacht! FIVE STARS!
    14·2 answers
  • HELP PLEASE, WILL GIVE BRAINLIEST A rectangle has a base of 5 inches and a height of 7 inches. If the dimensions are cut in half
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!