Statistics
Given the data set: {4,1,8,7,6}, what is the median?
6
If you have $500 and then start earning $100 per week, how many weeks will it take to afford a $3,000 car?
25 Weeks
Ray found the perimeter of the window in his bedroom to be 12 feet if the length of the window is 4 feet long. What is the width?
2 ft
x2 = 100
x= -10, 10
cos(x) = ½. Solve for x on the interval [0, 2𝛑)
x = 𝛑/3, 5𝛑/3
Given the data set: {1,1,1,3,3,3,3,3,3,5,5,7,7,7,7,7}, what is the mode?
3
Solve for x. 3(x - 2) + 4 = 2x + 6
x=8
Angles A and B are supplementary angles. Angles A and C are corresponding angles. If Angle A = 50°, Angle B = x°, and Angle C = (2x+50)°, what is the value of x?
x=40
f(x) = 3x2 - 2x + 1, find f(2)
f(2)=9
Find the value of sin(45°) and cos(45°).
√2
The following are the ages of 7 people: 22, 25, 28, 30, 30, 33, 35. Find the mean age.
29
3x + 15 = 300
x=95
Which line is parallel to the line whose equation is 4x + 3y = 7 and also passes through the point (-5,2)?
y=-4/3 x-14/3
4x2+9x+7=0. How many real solutions does this equation have?
0
The terminal side of an angle θ in standard position intersects the unit circle at ((√3)/2,-1/2). What is sin(θ)?
-1/2
A student scored 85 on a standardized test. The test scores are normally distributed with a mean of 80 and a standard deviation of 5. What is the student’s z-score?
1
y = 5 - 2x
4x + 3y = 13
Solve the system of equations.
(1,3)
Find the length of an arc of a circle with a radius of 10 cm and a central angle of 180°.
10π or 31.4 cm
In the xy-plane, the graph of a rational function f has a vertical asymptote at x = -5. Which of the following could be an expression for f(x)?
a. x/(x+3)
b. (x-5)/3
c. (x-5)(x-3)/(x-3)(x+5)
d. (x2-5x)/(x+4)
C.
Evaluate cos(0)
1
If Data Set A has 50 dogs and the average weight of each dog is 13 lbs, and Data Set B has 75 dogs and the average weight of each dog is 16 lbs, what is the mean of both data sets combined?
14.8 Ibs
This year, a salesman sells a total of $60,000 worth of cooking utensils by going door-to-door. This represents a 20% increase from the year before. What was the value of his sales last year?
$50,000
If the area of a circle is 500, what is the radius of the circle?
√(500/π) or 12.63 units
What is the second term of the binomial expansion of (x+y)4?
4x3y
Where will f(x) approach as x approaches negative infinity if f(x) = -3x5 + 5x - 10?
Positive Infinity