Probability
What is the probability of rolling two dice and getting at least 11?
1/12
Average IQ is 100 with a standard deviation of 15. What percent of the population should be above 130?
2.5
simplify cotx(sinx)
cosx
cot 30 degrees
radical3
Find the dot product of <-4,6> and <9,3>
-18
What is the center and radius of the circle: (x-4)^2 + (y+2)^2 = 121
(4,-2) 11
15 students are running in a race. 5 are from DV. How many ways can DV students finish first, second and third?
60
A student wants to know if students who study do better on tests. She picks 5 students who studied and 5 who didn't and then compares their scores. What type of data collection did she use and what is the bias?
Experiment
Find angle A of a triangle with side a 11, side c 14, and angle C 64 degrees. (2 decimal places)
44.93
If tanx = 4/3, what is the value of cosx?
3/5
Eliminate the parameter and write a linear equation in slope intercept form: x=2t-4 and y=8t-3
y=4x+13
What are the vertices of the ellipse (x-9)^2 / 36 + (y+7)^2 / 49 = 1
(9,-14), (9,0)
What is the probability of selecting two cards and getting exactly one heart? (Fraction)
13/34
A politician wants to know how many people will be voting for him. A survey shows 220 of the 480 people surveyed will vote for him. How many votes can he expect the city of 720,000?
330,000
Solve: 2sin^2x - sinx - 1 = 0
pi/2, 7pi/6, 11pi/6
What is the amplitude, period, and midline of the function: y = -3sin(4x) + 2
A = 3, P = pi/2, M = 2
Find the angle between vectors <-8,-3> and <11,-4> (2 decimal places)
139.46
Where is the focus of (y-5)^2 = -2(x+6)
(-13/2,5)
In a classroom, 60 percent of people have brown hair. 75 percent of the people with brown hair have brown eyes. 40 percent of the rest of the class has brown eyes. What percentage of the class does not have brown eyes?
39%
A test is normally distributed and has a mean of 68.5 and a standard deviation of 11... What percent of the population should score above 77% (nearest whole number)
22%
Angle A is 42 degrees, side b is 8 and side c is 10. Find angle B. (2 decimal places.)
52.86
Write an equation for a cos function with a minimum value of 2, a maximum value of 8, and a period of 6pi.
3cos(1/3 x) + 5
A plane is flying 582 mph at bearing 81 degrees. The wind is 22 mpg at bearing 48 degrees. What is the speed of the plane after factoring in the wind?
600.57 mph
y+5 = +- 5/12(x-4)
A basketball player makes 2 out of every 5 shots he takes. If he shoots 4 shots, what is the probability he makes at least 1? (nearest hundredth)
.87
What is the standard deviation of the test scores 73, 86, 91, 67, and 83? (nearest tenth)
9.8
Cos(x) = 20/29 in Q4... find Tan(2x)
840/41
A ferris wheel takes 20 minutes to make one complete rotation. It has a diameter of 40 feet and a maximum height of 50 feet. What would a rider's height be after 8 minutes? (2 decimal places).
46.18
A golfer uses a club with a 22 degree angle and hits a ball at 70 feet per second. How far will the ball have traveled when it lands? (2 decimal places).
106.37
Find the foci 8x^2 + 56x + 9y^2 - 72y + 170 = 0
(-9/2,4), (-5/2,4)