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2 years ago

What is the volume of the cylinder below?

Mathematics

1 answer:

slava [35]2 years ago

6 0

Volume is a three-dimensional scalar quantity. The correct option is C.

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of a slant cylinder is given by the formula,

Volume = π × (Radius of the cylinder)²× Slant height of cylinder

Given the radius of the cylinder is 3 units, while the slant height of the cylinder is 5 units, therefore, the volume can be written as,

Volume = π × (3 units)²× 5 units = 45π units³

Hence, the correct option is C.

Learn more about Volume:

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Major league baseball salaries averaged $1.5 million with a standard deviation of $0.8 million in 1994. suppose a sample of 100

seropon [69]

Answer: The probability that the avg. salary of the 100 players exceeded $1 million is approximately 1.

Explanation:

Step 1: Estimate the standard error. Standard error can be calcualted by dividing the standard deviation by the square root of the sample size:

$SE=\frac{0.8}{\sqrt{100}}=\frac{0.8}{10} = 0.08$

So, Standard Error is 0.08 million or $80,000.

Step 2: Next, estimate the mean is how many standard errors below the population mean $1 million.

$\frac{1 - 1.5}{0.08}$

$=-6.250$

-6.250 means that $1 million is siz standard errors away from the mean. Since, the value is too far from the bell-shaped normal distribution curve that nearly 100% of the values are greater than it.

Therefore, we can say that because 100% values are greater than it, probability that the avg. salary of the 100 players exceeded $1 million is approximately 1.

5 0

3 years ago

A golf course charges $16 for a package including the full 18-hole course. The course also sells buckets of

MA_775_DIABLO [31]

16x + 21y = 555

Step-by-step explanation:

Let x be the no. of 18-hole course

And y be the no. of golf balls

16x + 21y = 555

6 0

3 years ago

Stacy is selling tickets for the school play. She has a total of 200 seats available, and there will be two types of tickets off

Ganezh [65]

She sold 74 child tickets and 126 adult tickets

Step-by-step explanation:

Stacy is selling tickets for the school play

She has a total of 200 seats available, and there will be two types of tickets offered, child and adult tickets
She sold each child ticket for $6 , each adult ticket for $10 , and made a total of $1704

We need to find how many of each ticket she sold

Assume that x is the number of child tickets and y is the number of the adult tickets

∵ She has a total of 200 seats available

∵ She sold x child tickets

∵ She sold y adult tickets

- Add x and y, then equate the sum by 200

∴ x + y = 200 ⇒ (1)

∵ She sold each child ticket for $6

∵ She sold each adult ticket for $10

∵ She made a total of $1704

- Multiply x by 6 and y by 10, then add the products and

equate them by 1704

∴ 6x + 10y = 1704 ⇒ (2)

Now we have a system of equation to solve it

Multiply equation (1) by -10 to eliminate y

∵ -10x - 10y = -2000 ⇒ (3)

- Add equations (2) and (3) to find x

∴ -4x = -296

- Divide both sides by -4

∴ x = 74

- Substitute the value of x in equation (1) to find y

∵ 74 + y = 200

- Subtract 74 from both sides

∴ y = 126

She sold 74 child tickets and 126 adult tickets

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

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6 0

3 years ago

Laura can finish payroll in 3 hours. it takes ben 5 hours to do the same job. If they work together, how long should it take the

rjkz [21]

Answer:

15/8 hours .................

Step-by-step explanation:

Let L be Laura, and B be Ben. Then:

3L=1

5B=1

15L=5

15B=3

15(L+B)=5+3=8

15/8 (L+B)=1

5 0

3 years ago

Round off the nearest place value 75,432,387

liberstina [14]

Since you'd didn't specify what place value I'm assuming it's the whole number so the answer is: 80,000,000

7 0

3 years ago