! PLEASE HELP!

1 answer:

8 0

Using the combination formula, it is found that if the first flag is orange then the number of different signals consisting of 4 flags is 364.

The order in which the flags are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.

<h3>What is the combination formula?</h3>

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

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

In this problem, considering that the first flag is orange, 3 flags will be chosen from a set of the remaining 14, hence the number of signals is given by:

$C_{14,3} = \frac{14!}{3!11!} = 364$

More can be learned about the combination formula at brainly.com/question/25821700

You might be interested in

Need help with these

NNADVOKAT [17]

Pretty sure 11 is 75%

7 0

3 years ago

A cylinder has a radius of 30 ft and a height of 19 ft. What is the exact surface area of the cylinder?

Ad libitum [116K]

$A=2\pi r(r+h)\\
A=2\pi\cdot30\cdot(30+19)\\
A=60\pi\cdot49\\
A=2940\pi\hbox{ ft}^2$

4 0

3 years ago

Read 2 more answers

Find the perimeter of a square watermelon farm whose side is 14 miles.

Harlamova29_29 [7]

Perimeter is adding all the sides.
since it is square it is 14 +14 +14 +14 = 56 miles

8 0

3 years ago

Read 2 more answers

1. List the domain and range of the relation

Naddik [55]

Answer:

Domain: {(7, 9, 0)}

Range: {(-2, 9, 11, 2)}

3 0

3 years ago

Sandra uses her office fax machine to send fax at the rate of $0.10 per page. She decides to rent a fax machine for $80 a year.

Maksim231197 [3]

Part A:
First we define the variable to be used for the problem:
x: the number of pages that Sandra should fax
The inequality for rent is:
0.06x <= 80
Note that the price will be less than using the fax from the office, since for the same number of pages, we have:
y = 0.10x
Answer:
an inequality that can be used to calculate the number of pages that Sandra should fax in a year is:
0.06x <= 80

Part B:
0.06x <= 80
From here we clear x:
x <= 80 / 0.06
x <= 1333.33333
Nearest whole number
x <= 1333
Sandra can use the leased fax for 1333 pages and the cost will be:
1333 * 0.06 = 79.98 $
Using the office fax the cost will be:
1333 * 0.1 = 133.3 $
Answer:
By renting the sara machine, you save:
133.3-79.98 = 53.32 $

8 0

3 years ago