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3 years ago

The local farmer wants to know how many gallons of water his new watering through holds solve

Mathematics

2 answers:

Maurinko [17]3 years ago

8 0

Answer:

see below

Step-by-step explanation:

We need to find the volume of the cylinder

V = pi r^2 h

V = pi * 7^2 * 5

V = pi (245)

V = 245pi ft^3

Using 3.14 as an approximation for pi

V =769.3 ft^3

If we use the pi button

V = 769.6902001 ft^3

Dimas [21]3 years ago

6 0

Answer:

Step-by-step explanation:

7x5= 35

i think pls correct me if im wrong

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Juan went out to eat dinner, and the meal cost $60.00. If Juan received an 18% discount, what was the total value of the discoun

DaniilM [7]

Answer:

The total value of the discount was $10.80.

Step-by-step explanation:

Since we are finding the value of the discount, we just need to find 18% of 60.

We can convert 18% into a decimal.

18%=0.18

Multiply.

0.18*60=10.8

The total value of the discount was $10.80.

6 0

3 years ago

Suppose a city with population 300 comma 000 has been growing at a rate of 3% per year. If this rate continues, find the popul

viktelen [127]

Answer:

The population of this city in 13 years is 440,550.

Step-by-step explanation:

Given:

Suppose a city with population 300, 000 has been growing at a rate of 3% per year.

Now, to find the population of this city in 13 years.

Let the population of this city in 13 years be $A.$

Population ( $P$ ) = 300,000.

Rate per year ( $r$ ) = 3%.

Time ( $t$ ) = 13 years.

Now, we put formula to get the population of the city in 13 years:

$A=P(1+r)^t\\\\A=300,000(1+3\%)^{13}\\\\A=300,000(1+0.03)^{13}\\\\A=300,000(1.03)^{13}\\\\A=300,000\times 1.4685\\\\A=440,550.$

Therefore, the population of this city in 13 years is 440,550.

3 0

3 years ago

Let U1, ..., Un be i.i.d. Unif(0, 1), and X = max(U1, ..., Un). What is the PDF of X? What is EX? Hint: Find the CDF of X first,

Kryger [21]

Answer:

$E(X)= n \int_{0}^1 x^n dx = n [\frac{1}{n+1}- \frac{0}{n+1}]=\frac{n}{n+1}$

Step-by-step explanation:

A uniform distribution, "sometimes also known as a rectangular distribution, is a distribution that has constant probability".

We need to take in count that our random variable just take values between 0 and 1 since is uniform distribution (0,1). The maximum of the finite set of elements in (0,1) needs to be present in (0,1).

If we select a value $x \in (0,1)$ we want this:

$max(U_1, ....,U_n) \leq x$

And we can express this like that:

$u_i \leq x$ for each possible i

We assume that the random variable $u_i$ are independent and $P)U_i \leq x) =x$ from the definition of an uniform random variable between 0 and 1. So we can find the cumulative distribution like this: