What is the volume of a hemisphere with a diameter of 47.7in, rounded to the nearest tenth of a cubic inch

Choose the correct simplification of (7x3y3)2. 14x6y6 49x5y5 49x6y6 14x5y5

dolphi86 [110]

The answer would be the first one.

I find it easier to expand the equation (you still get the same answer).

= 2 * 7x + 2 * 3y + 2 * 3
= 14x + 6y + 6

Hope this helps!

8 0

3 years ago

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(01.05) Use the graph below to answer this question: graph of line going through negative 1, 4 and 2, 0 Find the average rate of

dsp73

1) Find the graph of a line passing through (-1, 4) and (2, 0).

The slope of two points can be determined by dividing the difference of y-values by the difference of x-values:

$\frac{4-0}{-1-2} =\frac{4}{-3}$

The slope of this equation is -4/3. Inputting this into the slope-intercept form of an equation, we get:

$y=\frac{-4}{3} x+b$

To find b, substitute x and y for one of the given coordinate pairs:

0 = (-4/3)(2) + b

0 = -8/3 + b

8/3 = b

Substitute the b value into the equation to finish the line:

$y=\frac{-4}{3} x+\frac{8}{3}$

4 0

3 years ago

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The amount 6.40 is 4% of what price

lys-0071 [83]

Answer:

160

Step-by-step explanation:

6.4 = 0.04x

6.4 / .04 = 160

4 0

3 years ago

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Help ASAP ! And explain too

Sedbober [7]

Answer:

4 inches

Step-by-step explanation:

it is given that

1/2" on the blueprint -----> 12 feet actual length

we can rearrange to say :

12 feet actual length ---> 1/2" on paper

or

1 foot actual length = (1/2)" ÷ 12 = 1/24" on paper

hence

96 feet actual length = 1/24 x 96 = 4 inches (answer)

3 0

3 years ago

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A random sample of 16 students selected from the student body of a large university had an average age of 25 years. We want to d

kenny6666 [7]

Answer:

$z=\frac{25-24}{\frac{2}{\sqrt{16}}}=2$

$p_v =2*P(Z>2)=0.0455$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the true mean differs from 24 at 5% of significance

Step-by-step explanation:

Data given and notation

$\bar X=25$ represent the sample mean

$\sigma=2$ represent the sample population deviation for the sample

$n=16$ sample size

$\mu_o =24$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

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

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is different from 24, the system of hypothesis would be:

Null hypothesis: $\mu = 24$

Alternative hypothesis: $\mu \neq 24$

If we analyze the size for the sample is < 30 but we know the population deviation so 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".

Calculate the statistic

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

$z=\frac{25-24}{\frac{2}{\sqrt{16}}}=2$

P-value

Since is a two sided test the p value would be:

$p_v =2*P(Z>2)=0.0455$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the true mean differs from 24 at 5% of significance

6 0

3 years ago

What is the volume of a hemisphere with a diameter of 47.7in, rounded to the nearest tenth of a cubic inch￼￼

What is the volume of a hemisphere with a diameter of 47.7in, rounded to the nearest tenth of a cubic inch