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3 years ago

A round pipe 4 ft long and 8 in in diameter connects an outdoor water tank to a hot tub.

Mathematics

1 answer:

dlinn [17]3 years ago

8 0

The volume of a cylinder is pir^2h. So the answer is pi*4^2 times 4. 64 pi.

You might be interested in

Determine whether each event is possible or impossible on a 6-sided cube where the numbers are 1 through 6.

tankabanditka [31]

Answer:

Step-by-step explanation:

Possible:

Rolling a 1

Rolling a number less than 7

Rolling an even number

Impossible:

Rolling a number greater than 10

Rolling an 8

4 0

2 years ago

If a gallon of milk costs $5.25 now and the price is

adelina 88 [10]

Answer: It will take approximately 21 years.

Step-by-step explanation:

6 percent of 5.25 is 0.315 (5.25 x 0.06 = 0.315)

Then you subtract 5.25 from 12 to calculate the number of years. (12 - 5.25 = 6.75)

Divide 0.315 from 6.75 (6.75 / 0.315 ≈ 21.4)

5 0

3 years ago

Simplify. please7−5x−(3+5x) 4 + 10x44−10x10 + 10x

Alenkasestr [34]

Simplify the expression:

7 - 5x - (3 + 5x)

Operate the parentheses. Each term changes its signs because the minus sign represents a -1:

7 - 5x - (3 + 5x) = 7 - 5x - 3 - 5x

Collect like terms:

7 - 5x - (3 + 5x) = 7 - 3 -5x - 5x

Simplify:

7 - 5x - (3 + 5x) = 4 - 10x

Answer: 4 - 10x

8 0

1 year ago

A website manager has noticed that during the evening hours, about 5 people per minute check out from their shopping cart and m

Over [174]

Answer:

a) Poisson distribution

b) 99.33% probability that in any one minute at least one purchase is made

c) 0.05% probability that seven people make a purchase in the next four minutes

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

5 people per minute check out from their shopping cart and make an online purchase.

This means that $\mu = 5$

a) What model might you suggest to model the number of purchases per minute? 

The only information that we have is the mean number of an event(purchases) in a time interval. Each event is also independent fro each other. So you should suggest the Poisson distribution to model the number of purchases per minute.

b) What is the probability that in any one minute at least one purchase is made? 

Either no purchases are made, or at least one is. The sum of the probabilities of these events is 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want to find $P(X \geq 1)$

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-5}*(5)^{0}}{(0)!} = 0.0067$

1 - 0.0067 = 0.9933.

99.33% probability that in any one minute at least one purchase is made

c) What is the probability that seven people make a purchase in the next four minutes?

The mean is 5 purchases in a minute. So, for 4 minutes

$\mu = 4*5 = 20$

We have to find P(X = 7).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-20}*(20)^{7}}{(7)!} = 0.0005$

0.05% probability that seven people make a purchase in the next four minutes

8 0

3 years ago

-4(2x+4)=-7x<br> solve for x

Schach [20]

Answer:

x should equal 16

Step-by-step explanation:

7 0

2 years ago