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Serggg [28]
3 years ago
12

Which statement is true about the circumference of a circle? The circumference is equal to the radius of the circle. The circumf

erence is equal to the diameter of the circle. The circumference is found by multiplying Pi by the radius. The circumference is found by multiplying Pi by the diameter.
Mathematics
2 answers:
Irina18 [472]3 years ago
7 0
<h3>The true statement about circumference of a circle is:  circumference is found by multiplying Pi by the diameter</h3>

<em><u>Solution:</u></em>

<em><u>The circumference of a circle is given as:</u></em>

\text{circumference } = 2 \pi r

Where,

"r" is the radius of circle

We know that,

diameter = 2 \times radius\\\\d = 2 \times r\\\\d = 2r

<em><u>Thus the circumference can also written as:</u></em>

\text{circumference } = 2 \pi r\\\\\text{circumference } = \pi \times d

Thus, the circumference is found by multiplying Pi by the diameter is correct statement

Nutka1998 [239]3 years ago
6 0

Answer:

The true statement about circumference of a circle is:  circumference is found by multiplying Pi by the diameter

Step-by-step explanation:

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Answer:

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{-0.714 -0}{\frac{1.38}{\sqrt{7}}}=-1.369

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We see that the p value is higher than the ususal significance levels commonly used of 1% or 5% so then we can conclude that we FAIL to reject the null hypothesis, and there is not enough evidence to conclude that we have a different response between the two drugs

Step-by-step explanation:

We have the following info given by the problem

Subject  1 2 3 4 5 6 7

Drug A  6 3 4 5 7 1 4

Drug B  5 1 5 5 5 2 2

x=value for drug A , y = value for drug B

x: 6 3 4 5 7 1 4  

y: 5 1 5 5 5 2 2

We want to verify if the mean response differs between the two drugs then  the system of hypothesis for this case are:

Null hypothesis: \mu_y- \mu_x = 0

Alternative hypothesis: \mu_y -\mu_x \neq 0

We can begin calculating the difference d_i=y_i-x_i and we obtain this:

d: -1, -2, 1, 0, -2, 1, -2

Now we can calculate the mean difference  

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Now we can find the the standard deviation for the differences, and we got:

s_d =\sqrt{\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1}}=1.38

And now we can calculate the statistic given by :

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{-0.714 -0}{\frac{1.38}{\sqrt{7}}}=-1.369

Now we can find the degrees of freedom given by:

df=n-1=7-1=6

We can calculate the p value, since we have a two tailed test the p value is given by:

p_v =2*P(t_{(6)}

We see that the p value is higher than the ususal significance levels commonly used of 1% or 5% so then we can conclude that we FAIL to reject the null hypothesis, and there is not enough evidence to conclude that we have a different response between the two drugs

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