Which equation represents a line which is parallel to the line y = -5/8x + 6?

mr Goodwill [35]

Volume of a cylinder is $\pi r^2h$ , where r is the radius and h is the height.

This comes from the area of a circle being $\pi r^2$ . A cylinder is the area of the base circle multiplied by its height.

Using this formula, the volume of the given cylinder is
$\pi r^2(3r) \\
= 3 \pi r^3$

6 0

3 years ago

X+2y-z = 9<br> -2x+y+z= 1<br> 2x-y+2z= -5

hodyreva [135]

Answer:

I don't understand the first one

7 0

2 years ago

Will mark first right answer blainliest!!!!!!!!!!!!!!!!!

grigory [225]

Answer:

40 inches

Step-by-step explanation:

blainliest

5 0

3 years ago

Read 2 more answers

Debbie studies for 12.5 hours, John studies for 6 hours, and Ashley studies for 1.5 hours. what is the average number of hours t

ale4655 [162]

you can answer it six point six six six six six infinity or you can answer it 6.7 depending upon how they want

6 0

3 years ago

A machine that puts corn flakes into boxes is adjusted to put an average of 15.6 ounces into each box, with standard deviation o

Anastaziya [24]

Answer:

$\chi^2 =\frac{15-1}{0.0676} 0.1521 =31.5$

$p_v =P(\chi^2_{14} >31.5)=0.0047$

If we compare the p value and the significance level assumed of 0.05 we see that $p_v$ so on this case we have enough evidence in order to reject the null hypothesis at the significance level provided. And that means that the population variance is significantly higher than 0.26^2=0.0676.

Step-by-step explanation:

Notation and previous concepts

A chi-square test is "used to test if the variance of a population is equal to a specified value. This test can be either a two-sided test or a one-sided test. The two-sided version tests against the alternative that the true variance is either less than or greater than the specified value"

$n=15$ represent the sample size

$\alpha$ represent the confidence level

$s^2 =0.39^2 =0.1521$ represent the sample variance obtained

$\sigma^2_0 =0.26^2 =0.0676$ represent the value that we want to test

Null and alternative hypothesis

On this case we want to check if the population variance specification is violated, so the system of hypothesis would be:

Null Hypothesis: $\sigma^2 \leq 0.0676$

Alternative hypothesis: $\sigma^2 >0.0676$

Calculate the statistic

For this test we can use the following statistic:

$\chi^2 =\frac{n-1}{\sigma^2_0} s^2$

And this statistic is distributed chi square with n-1 degrees of freedom. We have eveything to replace.

$\chi^2 =\frac{15-1}{0.0676} 0.1521 =31.5$

Calculate the p value

In order to calculate the p value we need to have in count the degrees of freedom , on this case df=15-1=14. And since is a right tailed test the p value would be given by:

$p_v =P(\chi^2_{14} >31.5)=0.0047$

In order to find the p value we can use the following code in excel:

"=1-CHISQ.DIST(31.5,14,TRUE)"

Conclusion

If we compare the p value and the significance level assumed of 0.05 we see that $p_v$ so on this case we have enough evidence in order to reject the null hypothesis at the significance level provided. And that means that the population variance is significantly higher than 0.26^2=0.0676.

4 0

2 years ago