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3 years ago

What is the diameter of this circle?

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

3 0

10cm

5cm is shown above all u gotta do is multiply by two OR add 5+5 to get 10 cm.

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10.

Kay [80]

Answer:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.535 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.2 \leq \sigma \leq 2.8$

And the best option would be:

A. 2.2 < σ < 2.8

Step-by-step explanation:

Information provided

$\bar X=32.1$ represent the sample mean

$\mu$ population mean

s=2.4 represent the sample standard deviation

n=83 represent the sample size

Confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The degrees of freedom are given by:

$df=n-1=83-1=82$

The Confidence is given by 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , the critical values for this case are:

$\chi^2_{\alpha/2}=62.132$

$\chi^2_{1- \alpha/2}=104.139$

And replacing into the formula for the interval we got:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.535 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.2 \leq \sigma \leq 2.8$

And the best option would be:

A. 2.2 < σ < 2.8

3 0

3 years ago

I don't remember how to do this

meriva

B. Fractions have to have the same denominator so $\frac{9}{10} - \frac{2}{5} = \frac{9}{10} - \frac{4}{10}$ which = $\frac{5}{10}$ then you simplfy it to $\frac{1}{2}$ so it would be B

4 0

3 years ago

Point A lies on the circle and has an x-coordinate of 1..

Neko [114]

Answer:

the last one

Step-by-step explanation:

because the distance/length formula is applied here so you just need to rearrange the coordinates in to the formula

6 0

2 years ago

What is the solution to the model?<br> (A) x + 1<br> (B) x =2<br> (C) x = 3<br> (D) x = 7

Black_prince [1.1K]

Answer:

3 0

3 years ago

PLEASE HELP ME!!!!!!!!!!

Svetlanka [38]

V = r + at (solve for a).

You want to isolate a. First subtract r.

v - r = at

Divide by t.

(v - r)/t = a

The answer is a = $\frac{v - r}{t}$ .

6 0

3 years ago