I need to know the equation for this table!

Can someone help? 20 points!

Ann [662]

a)

V = $\frac{4}{3} \pi r^{3}$

905 = $\frac{4}{3} \pi r^{3}$

2715 = 4π r³

$\frac{2715}{4\pi } = r^{3}$

216 = r³

$\sqrt[3]{216} = \sqrt[3]{r^{3} }$

6 = r

b)

$i = (\frac{p1}{p2} )^{\frac{1}{n}} - 1$

$i = (\frac{200,000}{3,000} )^{\frac{1}{(2012-1945}} - 1$

$i = (\frac{200}{3} )^{\frac{1}{(67}} - 1$

i = (66.67)⁰¹⁵ - 1

i = 1.065 - 1

i = 0.065

i = 6.5%

Answers: r = 6, i = 6.5%

6 0

3 years ago

How many solutions does the system have? \begin{cases} & y = 2x-1 \\\\ & y = 2x+6 \end{cases} ⎩ ⎪ ⎨ ⎪ ⎧ y=2x−1 y=2x+

coldgirl [10]

Answer:

A) y=2x−1

B) y=2x+6

The equations reduce to:

-1 = 6

Which is NOT true so those equations have NO solution.

Step-by-step explanation:

8 0

3 years ago

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

a small theater has eight rows of 22 chairs each. there is a plan to add four chairs to each row. how many chairs will be in the

HACTEHA [7]

All you do is multiply 22 times 8 which is 176 then you multiply 8*4

5 0

3 years ago

Read 2 more answers

Palindrome numbers are numbers that read the same foward or backward. Here are some palindrome numbers: 11, 121, 75257, and 1234

KatRina [158]

Answer:

99.

Step-by-step explanation:

A palindrome number is one that can be read in the same way both from the front and from the back. A clear example is the number 242, which starts and ends in the same way from the front or back.

Between 10 and 100, there are 9 palindromes, from 11 to 99. In turn, between 100 and 200, 200 and 300 and so on, each hundred has within it 10 palindromes (101, 111, 121, 131, 141 , 151, 161, 171, 181 and 191, for example).

Therefore, considering the 9 hundreds between 100 and 1000, there will be 90 palindromes, which added to the 9 between 10 and 100 give a total of 99 palindromes.

6 0

3 years ago