Trig Functions
Probability
Matrices/Stat.
Semester 1 Rev.
Misc.
100
Two angles in standard position with the same terminal side.
What is Coterminal
100
The selection of a group of objects in which order is important.
What is Permuatation.
100
When adding matrices, what must both be in order to solve?
What is equal in dimention.
100
A _____ is a monomial or a sum or difference of monomials.
What is Polynomial
100
What is i equal to? What is i^2 equal to?
What is The square root of -1 and only -1.
200
Solve; tan theta = 1.4, for 180 degrees lass than theta less than 270 degrees, to the nearest tenth.
What is theta = 180 degrees + 54.5 degrees = 234.5 degrees.
200
How many ways can you listen to 3 songs from a CD that has 12 selections?
What is 12p3 = 12! / (12-13)! = 12! / 9! = 12 x 11 x 10= 1320 different ways to listen to 3 songs.
200
True or False. Two Matrices can be multiplied only if the columns of the first = the rows of the second
What is True.
200
4(x-5) = 3(x-7) - 7
What is 4x - 20 = 3x - 21 - 7 4x - 20 = 3x - 28 x - 20 = -28 x = - 8
200
Solve: (1/x) + (1/x+2) = (5/x+2)
What is (1/x) = (4/x+2) (x + 2) = 4(x) 2 = 3x (2/3) = x
300
When converting from radians to degrees, what is the numerator being multiplied by the original set of radians
What is 180 degrees.
300
What is the probability that a randomly selected date in one year is not in the month of December or January?
What is 303/363 probability that a date is not in Dec. or Jan. .... P(not in Dec or Jan) = 1 - P(in Dec or Jan) = 1 - (31+31) / 365 = 303 / 363
300
The ______ is the difference between the 1st and 3rd quartiles or Q3 - Q1. It represents the middle 50% of the data.
What is Interquartile range.
300
Simplify - (x^4) / (2x(-2x))
What is - (x^4) / (-4x^2) = 1x^2 / 4
300
Find the x-intercepts of the graph of: y = x^2 - 2x - 15
What is (x - 5) (x + 3) x - 5 = 0 x + 3 = 0 x = 5 x = -3 (5,0) (-3,0)
400
The exact value of the angle that passes through the point (- root 3 /2 , - 1/2 ) is this.
What is Cos 210 degrees
400
A bag contains 20 checkers—10 red and 10 black. Determine whether the events are independent or dependent. Find the indicated probability; selecting 2 black checkers when they are chosen at random without replacement.
What is Not replacing the 1st checker means that there will be fewer checkers to choose from, affecting the probability of the 2nd selection, so the events are dependent...... P(black and black) = P(black l black) = 10/20 x 9/18= 9/38.
400
When using the graph of 222 eruptions of the Old Faithful Geyser. The duration has a mean of 3.6 min and a standard deviation of 1.1 min. What duration time intervals would be outliers? Describe any outliers for duration on the graph
What is The mean is 3.6min and the standard deviation is 1.1min . Therefore, the limits for the outliers are 3.6 - 3(1.1) = 0.3min and 3.6 + 3(1.1) = 6.9min A duration less than 0.3 min or greater than 6.9min will be an outlier. There are no values less than 0.3min or greater than 6.9min. Therefore data has no outliers.
400
Write the slope-intercept form of the equation of the line through the given point with the given slope. Through : (-2,0) , slope = 5/2
What is 0 = 5/2 (-2) = b 0 = -5 + b b = 5 y= 5/2x + 5
400
Write the expression ias a complex number in standard form (5 + 8i) / (6 - i)
What is (5 + 8i)/(6-i) x (6 + i) / (6 + i) = (30 + 5i + 48i^2) / 36 - i^2 = 30 + 53i + (-8) = 22 + 53i / 37
500
A DVD rotates through an angle of 20pi radians in 1 second. At this speed, how many revolutions does the DVD make in 1 minute?
What is 600 revs/min.... DVD rotates through 20pi radians in 1s. Therefore in 60s the DVD rotates through 20pi x 60= 1200pi radians ... 1 revolution is 2pi radians. Therefore, 120piradians = (1200pi / 2pi ) revs
500
Five years after 650 high school seniors graduated, 400 had a college degree and 310 were married. Half of the students with a college degree were married - What is the probability that a student has a college degree or is not married?
What is 54/64.... 400/2 = 200 students have a degree and werent married. 650 - 310 = 340 students were not married. P(degree) = P(not married)- P(degree n not married) 400/650 + 340/650 - 200/650 = 54/64.
500
You have a 0.1% chance of winning $500 and a 99.9% chance of losing $1. what is the expected value of your gain? (Hint: the 2 possible outcomes for this "experiment" are + 500 and - 1)
What is = - $0.499 .... The possible outcomes are + 500 and -1. The cance of the outcome being + 500 is 0.001 (=0.1%). The chance of the outcome being -1 is 0.999 (=99.9%). Therefore, the expected value of the gain is (+500)(0.001) - (-1)(0.999) = - $0.499.
500
Solve equation by factoring 5m^2 = 24 + 26m
What is 5m^2 - 26m - 24 = 0 (5m^2 - 4)(m + 6) 5m = 4 m = -6 m = 4/5
500
Write an equation for the inverse of the function: f(x) = 3x + 1
What is y = 3x + 1 x = 3y + 1 x - 1 = 3y (x-1) / 3 = y = (1/3)x - 1/3
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