X = 5 Simplify: = -3 – 36

a) .94 b) .85 c) .50 d) .20
180. What is the third term in the expansion
181. What is the forth term in the expansion
182. The probability of the Mets winning a game against the Diamondbacks is ¾. If they are

playing a 3-game series this weekend, what is the probability that the Mets will win at least 2

out of 3 games?

a) 9/64 b) 27/64 c) 54/64 d) 63/64

183. The mean is 82.75 and the standard deviation is 2.25. If the scores were normally distributed,

which of the following scores would be most likely to occur?

a) 90 b) 87.25 c) 80.5 d) 77
184. On a standardized test with a normal distribution, the mean is 85 and the standard deviation

is 5. If 1,200 students take the exam, approximately how many of them are expected to earn

scores between 90 and 95?

a) 14 b) 98 c) 163 d) 1172

185. The We Go Father Tire Company advertises a tire that lasts for 80,000 miles. The mileage

for the tires is a normal distribution with a mean of 80,000, and a standard deviation of

10,000 miles. If the company produces 32,000 tires, how many of them would be expected to

last between 65,000 and 100,000 miles?

a) 27,212 b) 29,120 c) 30,528 d) 31,264

186. On a standardized test with a normal distribution, the mean was 42 and the standard deviation

was 2.6. Which score could be expected to occur less than 5 percent of the time?

a) 50 b) 45 c) 39 d) 37
187. The mean age of the entering freshman class at a certain college is 18.5, with a standard

deviation of 0.75 year. If the data produces a normal distribution, find

1. 
   the percent of students who are between 19.25 and 17.75
   
2. 
   the percentile of a student who is 20 years old
   

a) 19.25 is 1 s.d. and 17.75 is -1s.d. 68% b) 20 is 2 s.d. 97.5 percentile
188. The probability of Gordon’s team winning any given game in a 5-game series is 30%. What is

the probability that Gordon’s team will win 2 games in the series?

189. In the month of January at a ski resort, the probability of snow on any day is 3/7.

a. What is the probability that snow will not fall on any day during a 5-day trip to that resort

in January?

b. What is the probability that snow will fall on at least 3 days of that 5-day trip in January?

190. As shown in the diagram, a circular target with a radius of 9 inches has a bull’s-eye with a

radius of 3 inches. If 5 arrow randomly hit the target, what is the probability that at least 4 hit

the bull’s-eye? p = 1/9, q = 8/9

191. The fifth term in the expansion ofis

a) b) c) d)

192. Evaluate:=

193. The mean score on the mathematics section of a standardized test was 483, and the standard

deviation was 97. If 10,000 students took the test, approximately how many students had

scores from 386 to 580?


194. The mean age of the people who watched a television program is 25 years, and the standard

deviation is 2.2. If the age of a person who watched this television program is picked at

random, which age can be expected to be selected less that 4.6% of the time?

a) 20 b) 29 c) 23 d) 25

195. Ms. Atkins has 146 students in her mathematics class. The scores on the final examination

are normally distributed and have a mean of 80.6 and a standard deviation of 8. How many

students in the class can be expected to receive a score between 92.6 and 100.6?

196. A linear regression equation of best fit between a student’s attendance and the degree of success

in school is h = 0.5x + 68.5. The correlation coefficient, r, for these data would be

(1) 0 r 1 (2) r = 0 (3) –1 r 0 (4) r = –1

197. The relationship of a woman’s shoe size and length of a woman’s foot, in inches, is given in the

accompanying table.

The linear correlation coefficient for this relationship is

(1) 1 (2) 0.5 (3) –1 (4) 0

198. What is the common difference of the arithmetic sequence ? d = 3
199. From 1984 to 1995, the winning scores for a golf tournament were 276, 279, 279, 277, 278, 278,

280, 282, 285, 272, 279, and 278. Using the standard deviation for the sample, Sx, find the

percent of these winning scores that fall within one standard deviation of the mean.

one s.d. is from 275.5 to 281.5

200. The equation is equivalent to

_{a) b) c) d)}
201. Which scatter diagram shows the strongest positive correlation?
Answer: (1)

202. The average monthly high temperatures, in degrees Fahrenheit, for Binghamton, New York, are

given below.

January	28	July	78
February	31	August	76
March	41	September	68
April	53	October	57
May	68	November	44
June	73	December	33

For these temperatures, find, to the nearest tenth, the mean, the population standard deviation,

and the number of months that fall within one standard deviation of the mean.

one s.d. is from 36.6 to 71.8 6 months
203. A box containing 1,000 coins is shaken, and the coins are emptied onto a table. Only the coins

that land heads up are returned to the box, and then the process is repeated. The accompanying

table shows the number of trials and the number of coins returned to the box after each trial.

Write an exponential regression equation, rounding the calculated values to the nearest ten-

thousandth. Use the equation to predict how many coins would be returned to the box after the

eighth trial.

204. The 1999 win-loss statistics for the American League East baseball teams on a particular date is

shown in the accompanying chart.

1. 
   Write the equation of linear regression
   
2. 
   Use the equation form part a) to predict the number of loss for Detroit if they won 45.
   

205. How many different three-member teams can be formed from six students?

(1) 20 (2) 216 (3) 120 (4) 720
206. Five people have volunteered to work on an awards dinner at Madison High School. How many

different committees of four can be formed from the five people?

(1) 1 (2) 10 (3) 5 (4) 20
207. The national mean for verbal scores on an exam was 428 and the standard deviation was 113.

Approximately what percent of those taking this test had verbal scores between 315 and 541?

(1) 68.2% (2) 38.2% (3) 52.8% (4) 26.4%

208. In a New York City high school, a survey revealed the mean amount of cola consumed each week

was 12 bottles and the standard deviation was 2.8 bottles. Assuming the survey represents a

normal distribution, how many bottles of cola per week will approximately 68.2% of the students

drink?

(1) 6.4 to 12 (2) 9.2 to 14.8 (3) 6.4 to 17.6 (4) 12 to 20.4

209. The amount of juice dispensed from a machine is normally distributed with a mean of 10.50

ounces and a standard deviation of 0.75 ounce. Which interval represents the amount of juice

dispensed about 68.2% of the time?

(1) 9.00–12.00 (2) 9.75–11.25 (3) 9.75–10.50 (4) 10.50–11.25

210. Sal has a small bag of candy containing three green candies and two red candies. While waiting

for the bus, he ate two candies out of the bag, one after another, without looking. What is the

probability that both candies were the same color?

211. A bookshelf contains six mysteries and three biographies. Two books are selected at random

without replacement.

a What is the probability that both books are mysteries?

b What is the probability that one book is a mystery and the other is a biography?

a. b.

212. The amount of time that a teenager plays video games in any given week is normally distributed.

If a teenager plays video games an average of 15 hours per week, with a standard deviation of 3

hours, what is the probability of a teenager playing video games between 15 and 18 hours a week?

15 = 0, 18 = 1 0.341 or 34.1%

213. How many different 6-letter arrangements can be formed using the letters in the word

“ABSENT,” if each letter is used only once?

(1) 6 (2) 720 (3) 36 (4) 46,656

214. Find the first four terms of the recursive sequence defined below.





_{a2 = a1 – 2 = -3 – 2 = -5, a3 = a2 – 3 = -5 –3 = -8, a4 = a3 – 4= -8 – 4 = -12}

215. Which value of r represents data with a strong negative linear correlation between two variables?

a) – 1.07 b) – 0.92 c) – 0.14 d) – 1.87
216. Mrs. Hill asked her students to express the sum using sigma notation.

Four different student answers were given. Which student answer is correct?

a) b) c) d)
217. The letters of any word can be rearranged. Carol believes that the number of different 9-letter

arrangements of the word “TENNESSEE” is greater than the number of different 7-letter

arrangements of the word “VERMONT.” Is she correct? Justify your answer.

218. What is the common ratio of the geometric sequence whose first term is 27 and fourth term is 64?

219. Express the sum using sigma notation

220. If the 1^st term of an arithmetic sequence is 5 and the 6^th term is 35. Find the 10^th term.

5d = 35 – 5 = 30, d = 6 a₁₀ = a₁ + d(10 – 1) = 5 + 6(9) = 59

221. If the 1^st term of an geometric sequence is 4 and the 4^th term is 108. Find the 8^th term.

a₈ = a₁  r ^8-1 = 4  3⁷= 8748
222. If the 3^rd term of an arithmetic sequence is 12 and the 7^th term is 32. Find the 10^th term.

4d = 32 – 12 = 20, d = 5 a₁₀ = a₁ + d(10 – 1) = 12 + 5(9) = 57

223. If the 4^th term of a geometric sequence is 3 and the 8^th term is. Find the 1^st term

_{find the previous terms multiply the reciprocal of the common ratio a1= 24}

224. Solve for x:

225. Evaluate:

a) 75 b) 105 c) 165 d) 195

150 + 45 = 195
226. There were seven decorated floats in the Bethpage Homecoming Parade. If the junior class took

the gold medal for their float, in how many ways could the silver and bronze medals be awarded?

1. 
   12 b) 42 c) 30 d) 210
   

₆P₂ = 30

227. When expanded, (1 – 3i)³ equals

228. Which statement about y = 38(1.083)^x is not true?

a) The initial value of the function is 38 b) This is an increasing function

c) The rate of change is 83 percent d) The graph of this function never crosses the x-axis
229. Given , what is the period?

a) b) 2π c) 12 d)

230. Solve for x to the nearest hundredth: 5^x = 401

231. How many different 6-letter arrangements can be made with the letters in the word TATTOO?

a) 720 b) 120 c) 60 d) 24

232. If z₁ = 4 – 5i and z₂ = 1 + 3i, show the sum of z₁ + z₂ graphically

I
z₁ =1 + 3i
R

z₁ + z₂ = 5 – 2i

z₂ = 4 – 5i

233. Solve for all values of  to the nearest tenth of a degree:

over the interval 0≤  < 360

234. If then the solution set for x is

a) {-5,5} b) {-5} c) {5} d) { }

both sides of equation have log_3, log₃ can be cancelled

235. Evaluate

a) 1 b) c) d)

236. Solve for x:

237. The doorway of a new office building is in the shape of a parabolic arch. The equation that

models the doorway is Partytime Caterers have been asked to plan a grand opening

celebration. They want to hang a banner across the doorway, 8 feet above the ground. To the

nearest tenth of a foot, how wide can the banner be?


x₁ x₂

let y = 8 since the banner is 8 from the ground

8’

8 = – x² + 8x , x² – 8x + 8 = 0,

x = 1.2, and 6.8 6.8 – 1.2 = 5.6

238. If and what is the value of

a) b) c) d)
239. Which of the following is not a function?

a) 3x + 4y = 20 b) x² + 5x = y c){(1,1)(2,1)(3,1)} d) y² – 3y – 2 = x

240. The domain of is

a) all real numbers b) c) d) all real except

Let denominator equals to 0