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Triangles
Unit 2: Sequences & Series
Unit 3: Probability
Unit 4: LOGS
Stats
100
In SOHCAHTOA what does CAH stand for?
Cos X = Adjacent/Hypotenuse
100
Write out the formula for the nth term of the sequence 5, 10, 20, 40, ...
gn = 5(2)^n-1
100
Consider the experiment of rolling 2 dice and recording the sum. what is the probability of rolling a 5 or a 6?
25%
100
evaluate ln 3.9
1.361
100
Calculate the Mean, Median, and Mode for the following set of Data: 7 1 6 4 52 6 6 1 23 11 2 2 20 10 5 4 6 7 2 8 10 16 8 5 9 1 3 2 2 13 3 31 12 1 19 6 5 21 2 6 1 9 30 3 1 11 9 3 9 1
Mean = 8.7, Median = 6, mode = 1
200
Two campers leave from their campsite. One walks 2.85 km east the other walks 6.03 km South. How far apart are they?
6.7 km
200
What is the sum of the first 16 terms of the sequence. 2, 4, 8, 16, ....
131070
200
There are two multiple-choice parts to the mathematics section of the PSAT. One has 25 multiple-choice questions with 5 options each, and the other has 15 multiple -choice questions with 4 options each. How many ways are there to answer the multiple-choice parts on the PSAT mathematics section?
5 ^25 x 4 ^15
200
Which function results by shifting the graph of y = ln(x +3) -5 right 3 units and up 5 units
y = ln x
200
Calculate the 5 number summary for the following set of data: 7 1 6 4 52 6 6 1 23 11 2 2 20 10 5 4 6 7 2 8 10 16 8 5 9 1 3 2 2 13 3 31 12 1 19 6 5 21 2 6 1 9 30 3 1 11 9 3 9 1
1, 2, 6, 10, 52
300
Two sides of a triangle measure 14 ft. and 17 feet, respectively. The included angle is 72 degrees. Approximately how long is the third side of the triangle?
18.4 feet
300
Xavier is to begin training for a long-distance run. His plan is to run every day, starting with 3 mile runs all through the first week and increasing his distance by 1.5 miles each subsequent week. How many miles will Xavier be running each day in the 8th week of his training?
13.5
300
A student is preparing a probability distribution as shown below. X 0 1 2 3 4 P(x) 0.1 0.3 0.3 0.05 A value is needed for P(3) to complete the table?
.25
300
Alex invests $2000 in an account that has a 6% annual rate of growth. to the nearest year, when will the investment be worth $3600? A = [P(1+r)^t]
10 years
300
Consider the data on quiz scores for 1st period. 32, 39, 68, 70, 75, 78, 78, 78, 79, 80, 82, 84, 85, 85, 85, 86, 90, 93, 95, 98 A student missed the quiz because of a field trip. When that score was averaged in, the mean for this class fell to 76. What was that score.
36
400
Two planes leave an airport at the same time. One plane is flying 575 mph at a bearing N 23° E, and the other plane is flying at 625 mph at a bearing of N 65° W. How far apart are the planes after flying for 3.5 hours?
2920 miles
400
Jack is building a dock and must drive a pylon into the mud. He drives the pylon post 12 inches into the ground on its first hit. Each additional hit drives the post 3/4 the distance of the prior hit. Find the total distance the post has been driven after 6 hits.
38.5
400
The number of household members, x, living in Cityville homes has the following probability distribution: x 1 2 3 4 5 6 7 8 P(x) 0.21 0.28 0.16 0.22 0.06 0.04 0.02 0.01 What is the expected size of a household in Cityville?
2.89
400
The population of rabbits in an area is modeled by the growth equation P(t) = [8e^0.26t] , where P is in thousands and t is in years. How long will it take for the population to reach 25,000?
4.4 years
400
The 2013 class mean for Mr. McBride's A.F.M. exam was a 90 with a standard deviation of 4 points. What is the range of scores that contain 95 percent of the student scores?
82-98
500
Factor: 4x^3-12x^2+5x-15
(x-3)(4x^2+5)
500
Find the first 207 partial sums of the following sequence: 3, 6, 9, 12…
64584
500
30. You want to roll a standard die with sides labeled 1, 2, 3, 4, 5, and 6. Before rolling the die, you want to calculate the theoretical probability. a. What is the theoretical probability that you roll a 3? b. You rolled the die 20 times and a 3 showed up 4 different times. What is the experimental probability of rolling a 3?
a. 1/6 = 16.7% b. 6/20 = 20%
500
Graph 2y - 6x = 8
y = 3x + 4
500
You are standing 40 feet away from the base of a light pole. If you measure the angle of elevation from you to the light pole to be 50°, how tall is the light pole?
47.7