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NeX [460]
3 years ago
13

Determine the center and radius of the following circle equation:

Mathematics
1 answer:
nignag [31]3 years ago
3 0
ANSWER

The radius is 8

EXPLANATION

We were given,






We rewrite the above equation to obtain,




We now add half the square of the coefficient of

to both sides of the equation to get,






We now got two perfect squares on the left hand side of the equation,













By comparing to the general formula of the circle,





We can see that the radius is 8.
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50%

Step-by-step explanation:

45 is half of 90. A percent is out of 100. So when you split 100 in half, it equals 50. The answer is 50%. Glad I could help!

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Which point on the coordinate plane is closest to ______ ?
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Answer:

its point D hope this helps :)

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Preliminary data analyses indicate that it is reasonable to use a t-test to carry out the specified hypothesis test. Perform the
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<h2>Answer with explanation:</h2>

By considering the given information, we have

Null hypothesis : H_0: \mu=35.0

Alternative hypothesis : H_1: \mu\neq35.0

Since the alternative hypothesis is two-tailed , so the test is a two-tailed test.

Given : Sample size : n= 20, since sample size is less than 30 so the test applied is a t-test.

\overline{x}=41.0    ;    \sigma= 3.7

Test statistic : t=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

i.e. t=\dfrac{41.0-35.0}{\dfrac{3.7}{\sqrt{20}}}=7.252112359\approx7.25

Degree of freedom : n-1 = 20-1=19

Significance level = 0.01

For two tailed,  Significance level =\dfrac{0.01}{2}=0.005

By using the t-distribution table, the critical value of t =t_{19, 0.005}=2.861

Since , the observed t-value (7.25) is greater than the critical value (2.861) .

So we reject the null hypothesis, it means we have enough evidence to support the alternative hypothesis.

We conclude that there is some significance difference between the mean score for sober women and 35.0.

3 0
3 years ago
Travis painted for 6 2/3 hours. He received $27 an hour for his work. How much was Travis paid for doing this painting job?
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Answer:

$180

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Well because it is $27 per hour, you can start with the whole hours:

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then because you are working with fractions you can find what 1/3 of 27 is:

27* (1/3)=9

this tells us that one-third of an hour is worth 9 dollars but because it is 2/3 then you just add another 9. This means 2/3 of 27 is 18.

Then you just add it all up:

162+18=180

8 0
1 year ago
Evaluate find the degree of a polynomial (y³-2)(y²+11)​
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Answer:

5

Step-by-step explanation:

(y^3 - 2)(y^2 +11)

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Here, highest power of the variable is 5.

Therefore, degree of the given polynomial is 5.

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