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Serggg [28]
2 years ago
14

Russell is filling a cylinder-shaped swimming pool that has a diameter of 20 feet. He fills it with water to a depth of 3 feet.

What is the volume of the water in the pool, to the nearest cubic foot
Mathematics
1 answer:
Serggg [28]2 years ago
8 0

Answer:V=942.6\ ft^3

Step-by-step explanation:

Given

Diameter of swimming pool is d=20\ ft\quad \quad (\text{radius}\ r=10\ ft)

Russell fills it to a depth of h=3\ ft

If the pool is in the shape of cylinder then its volume is given by

V=\pi \times r^2\times h

V=\pi \times (10)^2\times 3

V=942.6\ ft^3

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Question 9 (3 points)
Mila [183]

From the dot plot, we have that 90.91% of the students have 5 or more vowels in their first and last  names.

---------------------

The dot plot states that:

  • 2 students have 4 vowels in their first and last name.
  • 3 students have 5 vowels.
  • 8 students have 6 vowels.
  • 9 students have 7 vowels.

Then:

  • Total of 2 + 3 + 8 + 9 = 22 students.
  • 3 + 8 + 9 = 20 have or more vowels.

p = \frac{20}{22} \times 100\% = 90.91\%

90.91% of the students have 5 or more vowels in their first and last  names.

A similar problem is given at brainly.com/question/14354536

5 0
2 years ago
The formula for the area (A) of a circle is A = π • r2, where r is the radius of the circle. Ronisha wants to find the area of a
kobusy [5.1K]

<em>Greetings from Brasil...</em>

Here we will apply rule of 3...

This formula, A = πR²,  its for the whole circle, that is, 360° (2π)

We want the area of only a part, that is, a circular sector whose angle π/6

 sector           area            

    2π     -----    πR²

    π/6    -----     X

2πX = (π/6).πR²

2πX = π²R²/6

X = π²R²/12π

<h3>X = πR²/12</h3>

If Ronisha multiply the area by 1/12 she will get the area of sector with angle of π/6

6 0
2 years ago
For quality control​ purposes, a company that manufactures sim chips for​ cell/smart phones routinely takes samples from its pro
ololo11 [35]

Answer:

There is a 22.42% probability that a sample in this size has 2 imperfections.

Step-by-step explanation:

For each chip, there are only two possible outcomes. Either they are imperfect, or they are not.

This means that we can solve this problem using binomial distribution probability concepts.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And \pi is the probability of X happening.

In this problem

A success is a chip being imperfect. Suppose the average number of imperfections per 1000 sim chips is 3. So \pi = \frac{3}{1000} = 0.003.

What is the probability that a sample this size​ (1000 chips) has 2​ imperfections?

The sample has 1000 chips, wo n = 1000

We want P(X = 2).

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 2) = C_{1000,2}.(0.003)^{2}.(0.997)^{998} = 0.2242

There is a 22.42% probability that a sample in this size has 2 imperfections.

7 0
2 years ago
In triangle ABC, sin A = 24 25 . Which other expression has a value of 24 25 ? A) sin B B) cos A C) cos B D) tan A
Svetradugi [14.3K]
I think it's B hope I helped
8 0
2 years ago
Read 2 more answers
sophia says that you can solve the problem in the Example by multiplying both quantities in the ratio 60 : 36 by 1 . Is Sophia c
guapka [62]

Answer:

No multiplying both quantities in the ratio 60 : 36 by 1  would not give the answer .

But multiplying both quantities in the ratio 60 : 36 by 1/6  would solve it.

Step-by-step explanation:

Multiplying any number or ratio by 1 gives the same answer no matter what the expression or how much bigger the number is.This will not give the solution .

If it is multiplied with a fraction like 1/6  that would give the correct answer.

Multiplying it with 1/6 reduces the ratio and gives a better estimate.

A:B

60:36

60*1/6: 36*1/6

10: 6

Meaning that for a total of 16 there are 10 of category A and 6 of category B.

But if we do the same procedure with the answer is same which does not solve the question.

A:B

60:36

60*1: 36*1

60: 36

4 0
2 years ago
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