Algebra ll
Trig
Prob and Stats
Calculus
Miscellaneous
100
What is the quadratic formula?
(-b± sqrt(b2-4ac))/2a
100
D. sin w= x/y
100
Is date quantitative or categorical data?
categorical
100
dx=12x4
48x3
100
A lap pool is a right rectangular prism 36.8 m long by 20 m wide. The pool contains 1472 m3 of water. How deep is the pool?
2m
200
f(x)=(x-8)(4x+2)(3x-8)
12x3-90x2+208x+128
200
A ship’s sonar locates a treasure chest at a 12 degree angle of depression. A diver is lowered 40 meters to the ocean floor. How far (to the nearest meters) does the diver need to swim along the ocean floor to get to the treasure chest?
188 meters
200
TRUE/FALSE A 95% confidence interval means that we are 95% confident that the sample statistic is between the confidence interval bounds.
False...(supposed to be population parameter, not sample statistic)
200
lim (x-->3)(x2+4x-21)/(x2+3x-18)
10/9
200
If A + B = 76
A - B = 38
A / B = ?
3
300
(10+sqrt(2))(12-sqrt(6))
2[6sqrt(2)-5sqrt(6)-sqrt(3)+60]
300
What is the leg of a right triangle if the hypotenuse is 8 and one leg is 5?
sqrt(39)
300
What is the mean, median, and mode of this sample (round to the nearest tenth)?
1, 1, 4, 5, 7, 8
Mean = 4.3, median = 4.5, mode = 1
300
Find the critical points of f(x) = 24x4 - 5x3
x=0, x=15/8
300
In a quadrilateral, the sum of the measures of all the four angles is 360 degrees. Suppose a quadrilateral has two angles that are equal. Also, a third angle is equal to the sum of the two equal angles. The fourth is 60 degrees less than twice the sum of the other three angles. Find the measures of the angles in the quadrilateral.
35, 70, 220
400
[(2x+3)/4]=[(x+7)/3]
x=9.5 or 19/2
400
The legs of a triangle are x+2 and x. The hypotenuse length is 2x+1. What is x (round to the nearest hundredths if needed)?
~5.27
400
There’s 20 pens in a box. 10 are red. 7 are blue. 3 are pink. What’s the probability of choosing a blue pen given that the pen is a primary color?
7/17
400
d/dx [sqrt(xsinx)]=
use implicit differentiation to get y’ = sqrt(xsinx)(cosx ln(sqrt(x))+sinx/2x)
400
1, 4, 9, 16, 25, 36, ?, ? - Find the next two numbers in the series
49, 64
500
If 3x-y=12, what is the value of (8x)/(2y)
212
500
The angle of elevation of a hot air balloon, climbing vertically, changes from 25 degrees at 10:00 am to 60 degrees at 10:02 am. The point of observation of the angle of elevation is situated 300 meters away from the take off point. What is the upward speed, assumed constant, of the balloon? Give the answer in meters per second and round to two decimal places.
3.16 m/sec
500
A company makes 25 parts. 6 of the parts are defective. You choose 5 parts at random. What is the probability that all the parts you have chosen are defective?
1.13x10-4 or 1/8855
500
What is the largest area of a rectangle that can be inscribed in a semicircle of radius 6? Round to the nearest whole number.
This is an optimization problem….the answer is 36.
500
62÷2(3) + 4
58