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aniked [119]
2 years ago
12

How many options are there for picking 5 students out of 30 to wash my car

Mathematics
1 answer:
kirza4 [7]2 years ago
3 0

Answer:

120

Step-by-step explanation:

5 factorial

5 x 4 x 3 x 2 x 1 = 120

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Determine the volume of the solid that lies between planes perpendicular to the x-axis at x=0 and x=4. The cross sections perpen
OverLord2011 [107]

Answer:

Volume = 16 unit^3

Step-by-step explanation:

Given:

- Solid lies between planes x = 0 and x = 4.

- The diagonals rum from curves y = sqrt(x)  to  y = -sqrt(x)

Find:

Determine the Volume bounded.

Solution:

- First we will find the projected area of the solid on the x = 0 plane.

                              A(x) = 0.5*(diagonal)^2

- Since the diagonal run from y = sqrt(x) to y = -sqrt(x). We have,

                              A(x) = 0.5*(sqrt(x) + sqrt(x) )^2

                              A(x) = 0.5*(4x) = 2x

- Using the Area we will integrate int the direction of x from 0 to 4 too get the volume of the solid:

                              V = integral(A(x)).dx

                              V = integral(2*x).dx

                               V = x^2

- Evaluate limits 0 < x < 4:

                               V= 16 - 0 = 16 unit^3

3 0
3 years ago
Calculate the number of ways that the coach can assign the 4 positions to his 16 players.
Natali5045456 [20]

The number of ways that the coach can assign the 4 positions to his 16 players would be 43, 680 ways

<h3>How to calculate the permutation</h3>

The formula for permutation is given as;

Permutation = \frac{n!}{(n - r)!}

n = 16

r =4

Permutation = \frac{16!}{12!}

Permutation = \frac{16 *15*14*13*12*11*10*9*8*7*6*5*4*3*2*1}{12*11*10*9*8*7*6*5*4*3*2*1}

Permutation = 43, 680 ways

Thus, the number of ways that the coach can assign the 4 positions to his 16 players would be 43, 680 ways

Learn more about permutation here:

brainly.com/question/12468032

#SPJ1

8 0
2 years ago
6 movie tickets cost $72. At this rate, how much would 2 movie tickets cost? Use any method or strategy to show how you solved t
Alina [70]

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 24$

Explanation:

72 / 6 = 12$

12$ for 1 ticket

12 x 2= 24$ for 2 tickets

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

5 0
3 years ago
42÷2 1/3 <br><br> And 6 2/9÷5 5/6
Solnce55 [7]
The answers are
1. 18
2. 1 1/15
8 0
2 years ago
Write the fraction 4/7 as an equivalent fraction with the given denominator 28 .
Greeley [361]

Answer:

16/28

Step-by-step explanation:

Multiply both the denomator and numerator by 4

4 0
2 years ago
Read 2 more answers
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