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3 years ago

Find the volume of the cylinder. 30 POINTS :0!!

Mathematics

2 answers:

klemol [59]3 years ago

8 0

Formula: V = PI x r^2 x H

Volume = 3.14 x 4^2 x 10

Volume = 3.14 x 16 x 10

Volume = 3.14 x 160

Volume = 160π or 502.4 units^3

charle [14.2K]3 years ago

6 0

To find the volume of a cylinder, we use the formula represented below.

Volume = $\pi$ $r^{2}$ h

Notice that our cylinder has a radius of 4 and a height of 16, so we can plug these numbers into our formula.

Image provided.

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A group of students organized a car wash to raise money for a local charity. The students charged $5.00 for each car they washed

Gala2k [10]

The students will earn $180 by washing cars for 9 hours.

In 3 hours the students will earn...

$5 x 12 = $60

5 dollars x 12 cars = 60 dollars

So in 3 hours the group of students will earn $60

In 9 hours the students will earn...

$60 x 3 = $180

Since the students will earn $60 per every 3 hours, you multiply $60 with 3 because if you divide 9 hours by 3 hours you will get 3. The answer you get by multiplying 60 by 3 is 180. Therefore the students can earn $180 from washing cars.

I hope this helps!

3 0

3 years ago

The function, f(x)=70n-400, models the profit of the instructor of a guitar class per month, where n is the number of students e

zimovet [89]

profit=f(x)

so solve for f(x)=1000

1000=70n-400

add 400 to both sides

1400=70n

divide both sides by 70

20=n

20 students need to be enrolled to make a profit of 1000.00

4 0

3 years ago

HELP!!!! I WILL GIVE BRAINLIEST TO THE FIRST ANSWER!!!!!!!

aleksklad [387]

I would say c. I’m not sure if I’m right if I’m not sorry but good luck

3 0

3 years ago

If -x < -y, then all of the following are true except?

Marysya12 [62]

Answer:

b, c, d are all false

Step-by-step explanation:

Let x=4, y=2. The given statement says ...

... -4 < -2 . . . . . a true statement.

Now, let's look at the answer choices.

... a. -4 < -2 . . . . true

... b. 2(4) < 2(2) . . . . false

... c. 4 +2 < 2 +2 . . . . false

... d. 4/2 < 2/2 . . . . false

Then "a" is true, and "b", "c", and "d" are false.

4 0

3 years ago

Suppose we roll a fair six-sided die 20 times and draw ten cards from a standard 52-card deck. Let X be the number of "6"s rolle

Lera25 [3.4K]

Answer:

a) Expected value = 6.406

Variance = 4.905

Standard deviation = 2.45

b) The probability is 0.08547

Step-by-step explanation:

a) Let's suppose that:

X₁ = number of 6´s

X₂ = number of Jack, Queen, King or Aces

The mean of X₁ is:

MeanX₁ = n * p = 20 * (1/6) = 3.33

The variance of X₁ is:

$Var-X_{1} =np(1-p)=3.33(1-(1/6))=2.775$

The mean of X₂ is:

MeanX₂ = 10 * (16/52) = 3.076

The variance of X₂ is:

$Var-X_{2} =3.076(1-(16/52))=2.13$

The expect value of X is:

Xexp = MeanX₁ + MeanX₂ = 3.33 + 3.076 = 6.406

The variance of X is:

VarX = VarX₁ + VarX₂ = 2.775 + 2.13 = 4.905

The standard deviation is:

Xdevi = 4.905/2 = 2.45

b) The probability of drawing at least five six out of 20 rolls is equal to:

∑(1/6)ˣ(5/6)²⁰⁻ˣ = 0.231 with x = 5

The probability of at least 4 Jack, Queen, Kings or Aces is:

∑(16/52)ˣ(1-(16/52))¹⁰⁻ˣ = 0.37 with x = 4

The probability of given event is equal to:

P = 0.231 * 0.37 = 0.08547

5 0

3 years ago