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Deffense [45]
2 years ago
13

Find the volume of the cylinder. r = 5 cm h = 9 cm

Mathematics
1 answer:
kvasek [131]2 years ago
5 0

Answer:

About 706.5 or 707

Explanation:

3.14 • 5² (5² is also 25) = 78.5

78.5 • 9 = 706.5 or 707

Edit: Also posted a better picture for explanation. See the attachment.

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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
Is 8 yd greater than 288 in.
jonny [76]
3 feet is equal to 1 yard and 3 feet is 36 inches. 288 inches divided by 36 is 8 so 8 yards is equal to 288 inches.

8 0
3 years ago
Read 2 more answers
The net of a square pyramid is shown
Wewaii [24]

Answer:

Option (D)

Step-by-step explanation:

Surface area of a square pyramid is determined from the formula,

Surface area = Area of the square base + 4(Area of one lateral triangular side)

Area of the base = (Side)²

                            = 8²

                            = 64 cm²

Area of one lateral triangle = \frac{1}{2}(\text{Base})(\text{Height})

                                             = \frac{1}{2}(8)(8)

                                             = 32 cm²

Therefore, surface area of the square pyramid = 64 + 4(32)

                                                                              = 64 + 128

                                                                              = 192 cm²

Therefore, Option (D) will be the correct option.

3 0
3 years ago
Someone please! Check the answer twice! I just want one wrong and that’s it please! NO FILES I SWEAR IF SOMEONE ADDS A FILE THEI
MakcuM [25]

Answer:

x = 55, because if you look the whole entire bar is 180° in total but you dont have to worry about that because that's not what the question is wanting you to look at, If you look really close there is a half and half on both sides so that means there is a 90° angle so you would have to take 90-35 and that is what gives you your missing angle which is 55.

5 0
2 years ago
What is the meaning of the point with an x coordinate of 3?
snow_tiger [21]
The answer is D. Since the x line is seconds and y is feet traveled it would mean that the train travels 180 feet in 3 seconds
4 0
3 years ago
Read 2 more answers
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