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4vir4ik [10]
3 years ago
9

Find the volume of the largest right circular cone that can be inscribed in a sphere of radius 8?

Mathematics
1 answer:
Andreyy893 years ago
4 0
Answer see attachment:

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lisov135 [29]
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7 0
3 years ago
A simple random sample of electronic components wil be selected to test for the mean lifetime in hours. Assume that component li
Serjik [45]

Answer:

189 components must be sampled.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.005 = 0.995, so Z = 2.575.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

Assume that component lifetimes are normally distributed with population standard deviation of 16 hours.

This means that \sigma = 16

How many components must be sampled so that a 99% confidence interval will have margin of error of 3 hours?

n components must be sampled.

n is found when M = 3. So

M = z\frac{\sigma}{\sqrt{n}}

3 = 2.575\frac{16}{\sqrt{n}}

3\sqrt{n} = 2.575*16

\sqrt{n} = \frac{2.575*16}{3}

(\sqrt{n})^2 = (\frac{2.575*16}{3})^2

n = 188.6

Rounding up:

189 components must be sampled.

4 0
3 years ago
A sealed tank of water measures 10cm x 8 cm x 40cm. When it stands on one
Pavel [41]

Answer:

New height = 6

Step-by-step explanation:

The water is going to be the same volume no matter how the tank is orientated.

So you can do this 2 ways.

First way

Find the volume in the tank when the water goes up 24 cm on the height.

V = L*W*h

L = 8

W = 10

H = 24

V = 1920 cm^3

Now do it using the

L = 40

W = 8

h = ?

1920 = L * W * h

1920 = 40 * 8 * h

1920 = 320 * h

h * 320 = 1920

h = 1920/320

h = 6

Or you can do it without finding the 1920

L*W*h = L1 * w1 * h1

8*10*24 = 40 * 8 * h                                The 8's cancel

10*24 = 40*h                                           Divide both sides by 10

24 = 4h                                                    Divide by 4

h = 6

Same as you got before.

7 0
3 years ago
5(x – 10) = 30 – 15x<br> Solve
Doss [256]

Answer:

x=4

Step-by-step explanation:

5(x-10) = 30- 15x

5x - 50= 30 - 15x

+15x              +15x

20x - 50 = 30

       +50    +50

20x = 80

/20     /20

x = 4

Hope this helps!

7 0
3 years ago
The sides of a triangle measures 6 inches, 8inches, and 10inches. The triangle has one 90 degree angle. What type of triangle is
IrinaVladis [17]
It's a right triangle as it has the 90 degree corner and 3 different lengths

5 0
3 years ago
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