Probability
If Natalie wants to wear one of her 10 tops for 5 days in a row, but she doesn't want to wear any shirt twice, how many ways could she possibly do this?
30,240
Y varies directly with x. If y = 54 when x = 9, find y when x = 10.
60
Write x2 - x - 12 in factored form
(x-4)(x+3)
What should you use to help you remember the trigonometric ratios?
SOHCAHTOA
Write the following in rational form:
w3/4
The venn diagram below shows how many sophomores like Starbucks or Dunkin' Donuts. Daniel participated in this survey. What is the probability he likes Starbucks?
39/59 or .66
Solve for x:
x = -6
A model rocket is shot off into the air. The equation h(t) = -16t2 + 55t + 6 represents the relationship between the rocket's height in feet, (h), and the time in seconds, (t). For how long does the rocket maintain a height of at least 40 feet?
*DON'T ROUND YOUR ANSWER!*
1.821 seconds
Use trigonometry to find the triangle's missing angle:
39.3 degrees
Simplify this as far as possible:
15x2y sqrt(2x)
Casey has 8 yellow marbles, 7 white marbles, 4 red marbles, and 2 green marbles in a bag. Assuming all of the marbles are the same shape and size, if he randomly chooses two marbles without replacement, what is the probability they are both white?
.1
Sierra is a waitress. Her paycheck varies jointly with the number of hours she works and the number of tables she waits on. If she works 4 hours, waits 15 tables and makes $80, how much would she make if she worked for 7.5 hours and waited 26 tables?
$260
Given the quadratic expression 4x2 -11x + 10, what is the discriminant, and what does it tell you about the roots?
-39, there are two imaginary solutions.
Use trigonometry to find the triangle's missing side:
14.2
A function for the distance (in feet) at which a car needs to stop is given by the function D = 4*sqrt(v), where v (in feet per second) is the speed of the car before braking. What is the speed of the car before braking if it takes 20 feet to come to a stop?
25 mph
Use the survey on ice cream flavors below to answer the question:
.57 or 57%
The number of hours it takes a crew to paint a house varies inversely with the number of crew members. With 10 crew members it takes 6 hours to paint the house. How many MINUTES would it take 16 crew members?
225 minutes
Solve 4x2 - x + 10 = -2x + 7 by using the Quadratic Formula
-1 +- i sqrt(47)
____________
8
Fill in all the missing statements/reasons for this proof:
*ALL ANSWERS MUST BE CORRECT TO GET POINTS!*
2. Angle BDA and angle BDC are right angles
3. All right angles are congruent
4. Definition of bisects
5. BD is congruent to BD
6. Triangle ABD is congruent to triangle CBD
Solve for x:
x = 9/8 or x = 1.125
Gabriel has 8 peppermint candies, and 6 butterscotch candies in a bag. If he randomly chooses two candies without replacement, what is the probability only one of them is butterscotch?
*HINT: DRAW A TREE DIAGRAM!*
.53 or 53%
Y varies jointly with x2 and the square root of z. Y also varies inversely with m3. If y = 32 when x = 4, z = 64 and m = 2, find z when y =198, x = 3 and m = 1.
121
What are the factors of 48x2 + 64x -12?
4(2x+3)(6x-1)
Fill in all missing pieces for this triangle:
*ALL 3 PIECES MUST BE CORRECT FOR CREDIT!*
Side AB: 7.5
Side AC: 10.3
Angle C: 47 degrees
Solve the following for x:
-3 +- 2sqrt(3)