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3 years ago

The volume of a sphere is 972π ft3. What is the radius of the sphere? Use the formula V =

1 answer:

4 0

$\bf \textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}~~
\begin{cases}
r=radius\\[-0.5em]
\hrulefill\\
V=972\pi \end{cases}\implies 972\pi =\cfrac{4\pi r^3}{3}\implies (3)972\pi =4\pi r^3
\\\\\\
\cfrac{(3)972\pi }{4\pi }=r^3\implies 729=r^3\implies \sqrt[3]{729}=r\implies 9=r$

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The mean of a normal probability distribution is 500 and the standard deviation is 10. about 95 percent of the observations lie

PIT_PIT [208]

Answer:

So about 95 percent of the observations lie between 480 and 520.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

The mean is 500 and the standard deviation is 10.

About 95 percent of the observations lie between what two values?

From the Empirical Rule, this is from 500 - 2*10 = 480 to 500 + 2*10 = 520.

So about 95 percent of the observations lie between 480 and 520.

5 0

4 years ago

4/r=5/7solve for r. Help pls

antiseptic1488 [7]

Hello!

You first cross multiply

4 * 7 = 28

5 * r = 5 * r

r * 5 = 28

Divide both sides by 5

r = 28/5 = 5.6

The answer is 28/5 or 5.6

Hope this helps!

4 0

3 years ago

Read 2 more answers

Kari is on a trip to Italy. She has made a list of cities she would like to tour while she is there, as well as how much she exp

Amanda [17]

Unit conversion is a way of converting some common units into another. Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.

<h3>What are Units conversions?</h3>

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

The cost of the Kari visiting the Vatican, Rome, Naples, Venice, and Milan are €68.77, €95.41, €71.06, €113.38, and €49.69. Therefore, the total cost of visiting these places would be,

Total Cost = €68.77 + €95.41 + €71.06 + €113.38 + €49.69

= €398.31

Now, as it is given that 1$ is equal to 0.6859€, therefore, if we convert the amount that is already spent by Kari to visit these places in dollars, we will get,

$\rm Total\ cost = \dfrac{398.31 }{0.6859} = \$\ 580.72$

The amount that is left with Kari,

$\rm \text{Amount left with Kari} = (Budget\ of\ Kari)-(Total\ cost)$

$= \$585-\$580.72\\\\=\$4.28$

Also, the cost of visiting Genoa is €60.85, now, if the cost is converted to dollars we will get the cost to visit Genoa,

$\text{Cost of visiting Genoa} = \dfrac{60.85}{0.6859}=\$88.72$

Thus, the cost of visiting Genoa is $88.72, while the amount of budget that is left with Kari is $4.28, therefore, Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.

Learn more about Units conversion:

brainly.com/question/4736731

3 0

2 years ago

1. Which graph models the equation y = 3.5x?

MAXImum [283]

1) is C because the line is increasing not decreasing and it goes up 7 & right 2.
2) the y-intercept is -2 and the slope is up 3 over 1, so the answer has to be B
3) the answer is A because the up 2 over 3
4) the y-intercept is a positive 4, and the slope is going down 3 and to the right 5, and the line is decreasing so you know it has to be negative. the answer is D

7 0

3 years ago

-7(1-10)<br><br> Giving brainlist out again

belka [17]

Answer:

Step-by-step explanation:

-7(1-10)

10-1=9

9 – -7=2

8 0

3 years ago