Resources

Resources

Compound events: find the number of outcomes

While organizing a film festival, you must decide which of the

14

movies will be shown on the big screen. You only have the budget to show

7

movies on this screen, and you want to be able to tell moviegoers which order the films will be shown. In how many different ways can you show

7

14

movies on the big screen?

1

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\cos G

as a fraction in simplest terms.

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1

2

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\cos G=

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Nyesha runs a makerspace. She recently received a suggestion to let members have

24

-hour access to the space. Which of the following sampling methods is most appropriate to estimate the proportion of members who are in favor of

24

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1

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(A) Surveying the first

25

members at her makerspace on a particular weekday

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25

members of her makerspace at random

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25

members of a different makerspace that has

24

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(D) Creating a poll on social media and using the first

25

In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If

13

5

girls are competing, how many different ways could the six medals possibly be given out?

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In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If

4

6

girls are competing, how many different ways could the six medals possibly be given out?

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what is the answer to this math problem

1

8

hours. how many cans equals

52

If the Math Olympiad Club consists of

19

students, how many different teams of

5

students can be formed for competitions?

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If the Math Olympiad Club consists of

16

students, how many different teams of

3

students can be formed for competitions?

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The principal would like to assemble a committee of

6

students from the

14

-member student council. How many different committees can be chosen?

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A lock has a code of

3

1

20

. If no numbers in the code are allowed to repeat, how many different codes could be made?

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5

3

pairs of pants, and

4

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How many outfits are possible?

Seven runners are competing in a race where

3

of them will earn medals for finishing first, second, and third. How many unique ways are there to arrange

3

7

runners in first, second, and third place?

Chee is organizing textbooks on her bookshelf. She has a Spanish textbook, a math textbook, and a physics textbook. How many different ways can she line the textbooks up on her bookshelf?

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3

-number code made up of

30

numbers. If none of the numbers are allowed to repeat, how many different ways can you choose three different numbers in order for a unique code?

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How many ways can you pick a president, a vice president, a secretary and a treasurer out of

28

people for student council?

A school received a shipment of laptops and tablets purchased for

\$ 35,100

for their new computer lab. Each tablet cost

\$ 375

and each laptop cost

\$ 850

. If the school ordered

3

times as many laptops as tablets, then which of the following is the number of laptops in the shipment?

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1

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12

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18

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36

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54

Two dice are rolled. What is the probability of rolling a

3

2

How many unique ways are there to arrange the letters in the word HATTER?

Jerry has a large car which holds

22

gallons of fuel and gets

20

miles per gallon. Kate has a smaller car which holds

16.5

gallons of fuel and gets

30

miles per gallon. If both cars have a full tank of fuel now and drive the same distance, in how many miles will the remaining fuel in each tank be the same?

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1

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320

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325

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330

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335