Plz help need the answer is confused

What is the volume, in cubic meters, of a cylinder with a height of 8 meters and a base radius of 9 meters, to the nearest tenth

sammy [17]

Volume of a cylinder: $\pi r^{2} h$

Plug in the numbers.

$\pi 9^{2} 8$ = <span>2035.8
</span>
The cylinder's volume is 2035.8 m³.

5 0

4 years ago

The cooler at a picnic contained 4 apple juice boxes, 8 orange juice boxes, and 6 fruit punch juice boxes. A juice box is select

Mandarinka [93]

Answer:

5/9

Step-by-step explanation:

complement means not choosing an orange

P( not choosing orange) = (apple and fruit) / total

= (4+6) / (4+6+8)

=10/18

= 5/9

8 0

3 years ago

Please help i don’t understand this

sergij07 [2.7K]

yes it does have enough to cover the cube

8 0

3 years ago

Consider the conditional statement: "If I skip dinner, then I won't sleep well tonight."

STALIN [3.7K]

Answer:

I won't sleep well tonight, if l skip dinner.

8 0

3 years ago

Read 2 more answers

Suppose a local manufacturing company claims their production line has a variance of less than 9.0. A quality control engineer d

Alexxx [7]

Answer:

$\chi^2 =\frac{35-1}{9} 2.12^2 =16.979$

$p_v =P(\chi^2$

If we compare the p value and the significance level provided 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 lower than 9

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"

$n=35$ represent the sample size

$\alpha=0.01$ represent the confidence level

$s =2.12$ represent the sample deviation obtained

$\sigma_0 =3$ 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 lower than 9 and the deviation lower than 3, so the system of hypothesis would be:

Null Hypothesis: $\sigma^2 \geq 9$

Alternative hypothesis: $\sigma^2$

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.

$\chi^2 =\frac{35-1}{9} 2.12^2 =16.979$

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= n-1= 35-1=34. And since is a left tailed test the p value would be given by:

$p_v =P(\chi^2$

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

"=CHISQ.DIST(16.979,34,TRUE)"

Conclusion

If we compare the p value and the significance level provided 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 lower than 9

6 0

4 years ago