# Algebra

10.1Find the measure of the complement of the angle.

1) Find the complement of 2°.

2) Find the complement of 7°.

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10.2 Find the measure of angle A for the following triangle

3) Angle A=?   Angle B=107°    Angle C=40°

10.4 Use formulas to find the area of the figure.   L x W

4)

​​8cm

7cm

10.5 Find the volume of the Rectangle Prism. If necessary, round the answer to the nearest whole number. V = Bh

6)

4ft​3ft

9ft

11.1 Counting Principles

Solve the problem by applying the Fundamental Counting Principle with two groups of items.

7) A restaurant offers 7 entrees and 11 desserts. In how many ways can a person order a two-course meal?

8) A restaurant offers a choice of 4 salads,10 main courses, and 4 desserts. How many possible 3-course meals

are there?

11.2 Solve the Permutations n P r =    n!

(n-r)!

9)There are 5 performers who are to present their acts at a variety show. How many different ways are there to schedule their appearances?

10) There are 8 performers who are to present their acts at a variety show. One of them insists on being the first act of the evening. If this request is granted, how many different ways are there to schedule the appearances?

11.3 Combinations  n C r =    n!

(n-r)! r!

11) 5C4

12) 6C4

11.4 Probability

13) A die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6}. Find the probability of getting a 9.

14) You are dealt one card from a standard 52-card deck. Find the probability of being dealt a picture card.

11.6 ODDS

15) You are dealt one card from a 52-card deck. Find the probability that you are not dealt: a10.

11.7 Conditional Probability

Independent Events

16) A spinner is used for which it is equally probable that the pointer will land on any one of six regions.Three of the regions are colored red, two are colored green, and one is colored yellow. If the pointer is spun once, find theprobability it will land on green and then yellow.

12.1 Appropriate Sampling Techniques

17) The government of a town needs to determine if the city’s residents will support the construction of a new townhall. The government decides to conduct a survey of a sample of the city’s residents. Which one of the followingprocedures would be most appropriate for obtaining a sample of the town’s residents? Explain WHY?

A) Survey a random sample of persons with in each geographic region of the city.

B) Survey a random sample of employees at the old city hall.

C) Survey every 7th person who walks in to city hall on a given day.

D) Survey the first 500 people listed in the town’s telephone directory.

18) The city council of a small town needs to determine if the town’s residents will support the building of a newlibrary. The council decides to conduct a survey of a sample of the town’s residents. Which one of the followingprocedures would be most appropriate for obtaining a sample of the town’s residents?

A) Survey a random sample of persons with in each neighborhood of the town.

B) Survey a random sample of librarians who live in the town.

C) Survey 300 individuals who are randomly selected from al is to fall people living in the state in which the town islocated.

D) Survey every 12th person who enters the old library on a given day.

12.2 Measures of Central Tendency

Find the mean for the group of data items. Round to the nearest hundredth, if necessary.

19) 3,10,6,9,7,1,8,6

20)   74,74,65,32,42,74

Find the median for the group of data items.

21)12,6,4,0,2,1,2,0,0

22) 1.4,2.3,1.6,2.7,1.4,2.3,1.4,9,9,1.8

Find the mode for the group of data items. If there is no mode, so state.

23) 11,7,4,0,2,1,2

24) 96,96,90,30,76,96

Find the midrange for the group of data items.

25) 10,9,5,9,1,5,1

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