What are not rational numbers

If a cylindrical vase has a 63 cubic centimeter volume an a cone has the same height and radius as the cylinder what is the volu

VladimirAG [237]

Answer:

$21cm^{3}$

Step-by-step explanation:

According to the problem, calculation of given data are as follows,

Volume of cylindrical vase = $63cm^{3}$

As, Cone has same height and radius as cylinder, than we can calculate volume of cone by using following formula,

Volume of cone = $\frac{1}{3}$ × Volume of cylindrical vase

By putting the value, we get

Volume of cone = $\frac{1}{3}$ × 63

Volume of cone = $21cm^{3}$

8 0

3 years ago

Julie Ann works on an assembly line building computers. She can assemble 8 units an hour. Write an expression for the number of

kykrilka [37]

Answer:

Number of units=H(8)

8 0

3 years ago

A student wrote the following sentences to prove that quadrilateral ABCD is a parallelogram: Side AB is parallel to side DC so t

Nana76 [90]

<span>Therefore, the triangles ABD and CDB are congruent by SAS</span>

5 0

3 years ago

Read 2 more answers

The average yield of the standard variety off soybeans per acre on a farm in a region is 48.8 bushels per acre, with a standard

I am Lyosha [343]

Answer:

$z=\frac{53.4-48.8}{\frac{12}{\sqrt{36}}}=2.3$

$p_v =P(Z>2.3)=1-P(Z$

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean is not significantly higher than 48.8 at 1% of signficance.

Step-by-step explanation:

1) Data given and notation

$\bar X=53.4$ represent the sample mean

$\sigma=12$ represent the population standard deviation assumed

$n=36$ sample size

$\mu_o =48.8$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

2) State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is higher than 48.8, the system of hypothesis would be:

Null hypothesis: $\mu \leq 48$

Alternative hypothesis: $\mu > 48$

Since we assume that know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

3) Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{53.4-48.8}{\frac{12}{\sqrt{36}}}=2.3$

4)P-value

Since is a right tailed test the p value would be:

$p_v =P(Z>2.3)=1-P(Z$

5) Conclusion

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean is not significantly higher than 48.8 at 1% of signficance.

3 0

3 years ago

Which line of reflection maps point K at (-2, 2) to K' at (2, -2)?

Murrr4er [49]

Answer: The y-axis or line x=0.

Step-by-step explanation:

6 0

3 years ago