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scoray [572]
3 years ago
9

A sphere has a diameter of 14 ft. Which equation finds the volume of the sphere?

Mathematics
1 answer:
aev [14]3 years ago
6 0

Answer:

The volume of the sphere is 1436 in³

The equation is    

V = ⁴⁄₃ * 3.14 * (7ft)³

Step-by-step explanation:

radius = half of diameter

d = 14ft

r = 14ft / 2 = 7ft

To calculate the volume of a sphere we have to use the following formula:

V = volume

r = radius  = 7ft

π = 3.14

V = ⁴⁄₃πr³

we replace with the known values

V = ⁴⁄₃ * 3.14 * (7ft)³

V = 4.187 * 343 in³

V = 1436 in³

The volume of the sphere is 1436 in³

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Consider the piecewise-defined function given by the graph. What are these values?
maksim [4K]

Answers:

f(-3) = -1

f(-1) = 2

f(3) = 5

======================================

Explanations:

Draw a vertical line through -3 on the x axis. Make sure this vertical line crosses the orange graph. Mark this point of intersection and then draw a horizontal line from this point to the y axis. You should find that it touches -1 on the y axis. Check out the attached image to see this process in action.

Those steps basically say that x = -3 leads to y = -1. Since y = f(x), this means f(-3) = -1

Through similar steps, you should find that f(-1) = 2 and f(3) = 5

Note that the open hole/circle does not count. So if you land on an open hole, just keep going until you hit a closed circle on the other piece of the graph.

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Construct a 99% confidence interval for the population standard deviation of white blood cell count (in cells per microliter). A
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Answer:

The correct option is 1.148 < σ < 6.015

Explanation:

The 99% confidence interval for the standard deviation is given below:

\sqrt{\frac{(n-1)s^{2}}{\chi^{2}_{\frac{0.01}{2} }} }

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4 years ago
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