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Marrrta [24]
3 years ago
6

A circle is divided into 18 equal parts. How many degrees is the angle for 5 parts? Explain

Mathematics
2 answers:
Studentka2010 [4]3 years ago
6 0
25, each individual angle is 5 degrees
Nimfa-mama [501]3 years ago
6 0
Acircle is 360degrees divide by 18= 20
360/18=20 x 5 = 100, each individual angle is 20 degrees. I hope it help.
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The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites born in 1900 and 33.0 years
inn [45]

Answer:

b. The null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0

c. Student's t distribution, as it is a two-sample test for the difference between means.

d. Test statistic t = 5.42.

P-value = 0

e. They appear to be significantly different, as the sample data gives strong evidence that the difference is greater than 0.

Step-by-step explanation:

This is a hypothesis test for the difference between populations means.

The claim is that the mean life spans in the county is significantly different for whites and nonwhites.

Then, the null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0

The significance level is 0.05.

The sample 1 (white), of size n1=124 has a mean of 45.3 and a standard deviation of 12.7.

The sample 2 (non-white), of size n2=82 has a mean of 34.1 and a standard deviation of 15.6.

The difference between sample means is Md=11.2.

M_d=M_1-M_2=45.3-34.1=11.2

The estimated standard error of the difference between means is computed using the formula:

s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{12.7^2}{124}+\dfrac{15.6^2}{82}}\\\\\\s_{M_d}=\sqrt{1.301+2.968}=\sqrt{4.269}=2.066

Then, we can calculate the t-statistic as:

t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{11.2-0}{2.066}=\dfrac{11.2}{2.066}=5.42

The degrees of freedom for this test are:

df=n_1+n_2-2=124+82-2=204

This test is a two-tailed test, with 204 degrees of freedom and t=5.42, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=2\cdot P(t>5.42)=0.0000002

As the P-value (0.0000002) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the mean life spans in the county is significantly different for whites and nonwhites.

4 0
3 years ago
Which of the segments below is a secant?
Rainbow [258]

Answer:

BC

Step-by-step explanation:

A secant is a line which intersects the circle at 2 points

In the given diagram this is BC

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3 years ago
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Multiply 2 by 10, divide the answer by 5, and add 3 to the final answer
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A spherical water balloon is filled such that it has a diameter of 9 inches. Water is then released from the balloon until it ha
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Approximately 186in^3 was released from the water balloon
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What is the simplified form of √100x³6?<br> O 10x¹8<br> O 10x6<br> 50x18<br> O 50x6
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Answer
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