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3 years ago

The volume of a cylinder is given by V = ar?h

Mathematics

1 answer:

expeople1 [14]3 years ago

5 0

Answer:

Step-by-step explanation:

$V=\pi r^{2}h\\ =\pi*(x+2)*(x+2)*3x+8\\ =\pi *x(x+2)+2(x+2)*3x+8\\ =\pi *x^{2}+4x+4*3x+8\\ =3x(x^{2}\pi+4x\pi+4\pi)+8(x^{2}\pi+4x\pi+4\pi0 \\ =3x^{3}\pi+20x^{2}\pi+44x\pi+32$

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Q3. A bag contains 7 red balls and 3 green balls. A ball is taken out replaced.

ycow [4]

Part (a)

There are 7 red out of 7+3 = 10 total

<h3>Answer: 7/10</h3>

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Part (b)

We have 3 green out of 10 total

<h3>Answer: 3/10</h3>

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

Part (c)

3/10 is the probability of getting green on any selection. This is because we put the first selection back (or it is replaced with an identical copy)

So (3/10)*(3/10) = 9/100 is the probability of getting two green in a row.

<h3>Answer: 9/100</h3>

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

Part (d)

Similar to part (c) we have 7/10 as the probability of getting red on each independent selection.

(7/10)*(7/10) = 49/100

<h3>Answer: 49/100</h3>

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

Part (e)

7/10 is the probability of getting red and 3/10 is the probability of getting green. Each selection is independent of any others.

(7/10)*(3/10) = 21/100

<h3>Answer: 21/100</h3>

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

Part (f)

We have the exact same set up as part (e). Notice how (7/10)*(3/10) is the same as (3/10)*(7/10).

<h3>Answer: 21/100</h3>

7 0

2 years ago

Eliza is building a fence that is 1/4 mile. She plans to build it in 3 days. How long should the section of fence be that Eliza

Taya2010 [7]

Answer:

One Twelfth (1/12) of a Mile per Day

Step-by-step explanation:

If Eliza has 3 days to build this fence, you can divide the total length of the fence (1/4 mile) into 3 sperate sections for each day. Dividing 1/4 by 3 gets you. 1/12 of a mile will be built each day.

4 0

2 years ago

Solve.

Pavlova-9 [17]

Answer:

(2, -3)

Step-by-step explanation:

Apparently, the equations are supposed to be ...

4x +y = 5
3x +y = 3

The solution for x can be found by subtracting the second equation from the first:

(4x +y) -(3x +y) = (5) -(3)

x = 2 . . . . . . . matches the second answer choice

Y can be found from either equation:

y = 5 - 4x . . . . . subtract 4x from the first equation

y = 5 -4(2) = -3

The solution is (x, y) = (2, -3).

7 0

2 years ago

5+3r=5r-19(if there is no solution,type in ''no solution'')r= Answer

TEA [102]

Answer: 12 = r

Step-by-step explanation: When we have this kind of a setup, we want to put our variables together on one side of the equation and our numbers together on the other side of the equation.

First, let's put our variables on the right side by subtracting 3r from both sides of the equation. That gives us 5 = 2r - 19.

Now we can move our numbers to the left by adding 19 to both sides of the equation and we get 24 = 2r.

Divide both sides by 2 and 12 = r

Note:

Don't just do this problem in your head. It's extremely important to develop the habit of putting all your steps down on paper or digitally. It will really pay off for you down the line.

4 0

3 years ago

For the spinner above, the probability of landing on black is 1/2, and the probability of landing on red is 1/3. Suppose it is s

8_murik_8 [283]

Answer:

1/8

Step-by-step explanation:

P = 1/2 × 1/2 × 1/2

P = 1/8

7 0

3 years ago