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Mama L [17]
2 years ago
9

Ella and Iris are planning trips to nine countries this year. There are 12 countries they would like to visit. They are deciding

which countries to skip, how many ways are there?
Mathematics
1 answer:
NISA [10]2 years ago
5 0

Using the combination formula, it is found that there are 220 ways to decide which countries to skip.

The order in which the countries are skipped 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, 3 countries are skipped from a set of 12, hence the number of ways is given by:

C_{12,3} = \frac{12!}{3!9!} = 220

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

#SPJ1

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Rupert drove home at an average rate of 58 miles per hour. find his rate in feet per second
leva [86]
5280 feet in 1 mile
3600 seconds in an hour

58(5280) / 3600 = 306240/3600 = 85.06 ft per sec or if u need it rounded, it is 85.1
6 0
3 years ago
An airline is planning its staffing needs for the next year. If a new route is​ approved, it will hire 837 new employees. If a n
dusya [7]

Considering a discrete distribution, it is found that the expected number of new employees to be hired by the​ airline is of 446.16.

<h3>What is the mean of a discrete distribution?</h3>

The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.

In this problem, considering the situation described in the text, the distribution is given by:

  • P(X = 837) = 0.37.
  • P(X = 199) = 0.63.

Hence, the expected value is given by:

E(X) = 0.37(867) + 0.63(199) = 446.16.

More can be learned about discrete distributions at brainly.com/question/24855677

6 0
1 year ago
What is the exact volume of the cylinder? 32π in³ 64π in³ 128π in³ 512π in³ Cylinder with radius labeled 4 inches and height lab
8_murik_8 [283]
The answer is 128 pi in^3. You have to multiply 4x4, then multiply that by 8 to get 128.
6 0
2 years ago
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One gallon is equal to about 3.785 liters. What is this amount rounded to the nearest tenth? To the nearest hundredth? Show your
Leokris [45]

Answer:

3.8 ; 3.79 ; 3

Step-by-step explanation:

Given that:

1 gallon is equal to about 3.785 litres

3.785 to the nearest tenth :

Tenth digit = 7 ; round up 8 to 1 and add to 7

Hence,

3.785 = 3.8 (nearest tenth)

3.785 to the nearest hundredth :

Hundredth digit = 8 ; round up next digit 5 to 1 and add to 8

3.785 = 3.79 ( nearest hundredth)

What is the greatest number of whole liters of water you could pour into a one-gallon container without it overflowing?

The greatest Number of whole liters of water that could be poured into a 1 gallon container without it overflowing is 3 liters because, rounding up 3.785 to the nearest integer of 4 means we will exceed the maximum litres by about 0.215 gallons and hence, cause the container to overflow.

3 0
2 years ago
Please help with right answers​
Nonamiya [84]
The answer is 25.

4 green balloons : 5 purple balloons
20 green balloons : 25 purple balloons.

In order to get to 20 from 4 u need to multiply by 5. Do that to each side and get 25
7 0
2 years ago
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