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3 years ago

If a cylinder has a height of 12 cm and a radius of 4 cm, what do you do to find the volume of the cylinder?

Mathematics

2 answers:

Yakvenalex [24]3 years ago

7 0

Answer:

603 cm³ (approx)

Step-by-step explanation:

V = pi × r² × h

V = 3.14 × 4² × 12 = 602.88 cm³

jenyasd209 [6]3 years ago

6 0

Answer:

V = 603.43 cm³

Step-by-step explanation:

V = πr²h

Where r = 4 cm, h = 12 cm

V = 22/7 × 4² × 12

V = 22/7 × 4 × 4 × 12

V = 4224/7

V = 603.43 cm³

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A Ferris wheel can accommodate 65 people in 15 minutes. How many people could ride the Ferris wheel in 2 hours? What was that ra

densk [106]

Answer:

520 people in 2 hours

rate = 260 people per hour

Step-by-step explanation:

change minutes to hours

15 minute* 1 hr/60 minutes = .25 hrs

65 people x people

--------------- = ------------------

.25 hrs 2 hrs

using cross products

65 * 2 = .25 * x

130 = .25x

divide by .25

130/.25 = .25x/.25

520 =x

520 people

65 people x people

--------------- = ------------------

.25 hrs 1 hrs

using cross products

65 = .25x

divide by .25

65/.25 = .25x/.25

260 =x

260 people in 1 hour

rate = 260 people per hour

5 0

3 years ago

Suppose that only 25% of all drivers come to a complete stop at an intersection having flashing red lights in all directions whe

Juliette [100K]

Answer:

$X \sim Binom(n=15, p=0.25)$

For this case we can use the probability mass function and we got:

$P(X= 5) = (15C5) (0.25)^{5} (1-0.25)^{15-5}= 0.165$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.25)$

For this case we can use the probability mass function and we got:

$P(X= 5) = (15C5) (0.25)^{5} (1-0.25)^{15-5}= 0.165$

5 0

3 years ago

What is the greatest common factor of 31 43 and 95?

kramer

It’s 1. Apparently my answer is not long enough so I’m making it longer :(:

7 0

3 years ago

Which of these is a statistical question? I accidentally clicked an clicked an answer, but I want to know which one is the right

sasho [114]

Step-by-step explanation:

I think A is the answer to your question

7 0

2 years ago

If the length of a rectangular garden is 2 feet less than the length of a house and the width of the garden is 5 feet less than

Goshia [24]

Answer:

A(h) = h²/2 - 6*h + 10

Step-by-step explanation:

The garden is rectangular, and area of a rectangle is:

A(r) = L*w

Where L is the length and w is the width of the rectangle

Now if we call "h" the length of the house, we have the following expressions

L = h - 2 and

w = h/2 - 5

The expression for the area f the ectangle as a function of the length of the house is:

A(h) = ( h - 2 )* ( h/2 -5 )

A(h) = h²/2 - 5*h - h + 10

A(h) = h²/2 - 6*h + 10

3 0

3 years ago