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kirill [66]
3 years ago
5

Find the volume of the given solid. bounded by the cylinder y2 + z2 = 64 and the planes x = 2y, x = 0, z = 0 in the first octant

Mathematics
1 answer:
kupik [55]3 years ago
7 0
The answer is 16/3 cubic units
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Can some one give me the answers to the slope questions please ?!
viktelen [127]

Answer:

I gotchu homie:

1. Slope = 5

2. Slope = 2/3

3. Slope = 3/4

4. Slope = 5/2

If you want to understand how to find them feel free to ask :)

4 0
3 years ago
For what value of the variable will the expression 8b−27 be equal to the following:<br> 5
qaws [65]

Answer:

We need to find the value of b to make 8b - 27 be equal to 5, so:

8b - 27 = 5

We solve the equation:

8b = 5 + 27

8b = 32

We divide both sides by 8:

b = 32/8 = 4

So now, we know that b=4, and we can verify:

8*4 - 27 = 5

32 - 27 = 5 TRUE

8 0
3 years ago
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A classroom is 30 feet long and 30 feet wide. The ceiling is 10 feet above the floor. What is the volume of the classroom?
ser-zykov [4K]
If you would like to know the volume of the classroom, you can calculate this using the following steps:

30 feet long * 30 feet wide * 10 feet high = 30 * 30 * 10 = 9000 ft^3

The correct result would be 9000 ft^3.
4 0
3 years ago
What are four ways to represent functions?
telo118 [61]
A function can be represented verbally. For example, the circumference of a square is four times one of its sides.
A function can be represented algebraically. For example, 3x+6 3 x + 6 .
A function can be represented numerically.
A function can be represented graphically.
6 0
3 years ago
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When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 55 bat
aleksley [76]

The probability of accepting this shipment is 98%.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here, we have

Almost all such shipments will be accepted because the probability of having a sample with more than 3 defective batteries is very low.

The shipment will be accepted if at most 3 batteries don't meet specifications.

This can be modeled as a binomial distribution, where the sample size is n=55 and the probability of not meeting the specifications of any battery is p=0.02.

The shipment will be accepted if D ≤ 3.

The probability of this event is:

P( D ≤ 3) = P(D=0) + P(D=1) + P(D=2) + P(D=3)

P(D=X) = n!/(x!(n-x)!) pˣ(1-p)ⁿ⁻ˣ

P(D=0) = 55!/(0!(55-0)!) 0.02⁰(1-0.02)⁵⁵⁻⁰ = 1× 1 × 0.32 = 0.32

P(D=1) = 55!/(1!(55-1)!) 0.02¹(1-0.02)⁵⁴ = 54 × 0.02 × 0.33= 0.35

P(D=2) = 55!/(2!(55-2)!) 0.02²(1-0.02)⁵³ = 55 ×27 × 0.0004 × 0.34= 0.20

P(D=3) = 55!/(3!(55-3)!) 0.02³(1-0.02)⁵² = 25740× 0.0000008 × 0.35= 0.07

Then,

P( D ≤ 3) = P(D=0) + P(D=1) + P(D=2) + P(D=3)

P( D ≤ 3) = 0.32 + 0.35 + 0.20 + 0.07

P( D ≤ 3) = 0.98

Hence, the probability of accepting this shipment is 98%.

To learn more about the probability from the given link

brainly.com/question/24756209

#SPJ1

4 0
1 year ago
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