Statistics
A sample is collected by picking names from a hat. What sampling strategy is this?
simple random sampling
Find the inverse of the function f(x) = 4x3 – 11
cube root((x+11)/4)
Evaluate: log4(8) + log4(2)
f(x) = 6x4 – 5x3 + 12x2 – 8x + 6
Find f'(x).
f'(x) = 24x3 – 15x2 + 24x – 8
What is the powerhouse of the cell?
the Mitochondria
Explain how to find the IQR from a cumulative frequency table. (You can sketch a pic if it helps.)
Q3: Find 3/4 of the total, then find corresponding x-value
Q1: Find 1/4 of the total, then find corresponding x-value
Subtract Q3 – Q1
f(x) = x – 3
g(x) = x2 – 7
Find g(f(x)).
g(f(x)) = x2 – 6x + 2
Simplify completely: log2(4x/8y)
2x – 3y
f(x) = 5/x4 + 2ex
Find f'(x).
f'(x) = –20x–5 + 2ex
What is the 2nd largest country in the world?
Canada 🇨🇦
A data set has a variance of 32. All values are multiplied by 6. What is the new variance of the data set?
1152
State the domain and range of the function y = –x2 + 8.
D: (–inf, inf)
R: (-inf, 8]
Solve for x:
3ln(x) = 1 – ln(4)
0.879
Find the tangent line to the graph of y = 10x – 3x2 + 1 at x = 3.
y = –8x + 28
What is the city with the highest population in the world? (Double points for the population, within 1 million of the answer)
Tokyo, Japan.
(~37,000,000 People)
The number of students in 5 different classes are: 23, 25, 31, 32, 38. What is the smallest number of students that would not be considered an outlier?
8
The height (in meters) of a projectile is modeled by the function H(t) = –t2 + 80t + 5, where t is time in seconds. How long does it take for the projectile to reach a height of 1000 meters?
(Hint: Solve by graphing.)
15.4 seconds
Sketch a graph of y = log2(x + 3). Label the asymptote and at least one point.
Asymptote at x = –3.
Points at (-2, 0), (-1, 1), (1, 2), etc.
NO CALC. Find the coordinates of the maximum of the function y = –x2 + 8x + 2.
(4, 18)
How many teeth does a horse have?
36-44 teeth
Calculate the mean of the frequency table by hand.
x freq
3 12
5 7
7 6
9 10
5.8
The function y = g(x) contains the point (4,3). Find the corresponding point on the function y = 4g(2x) – 7.
(2, 5)
Solve for x.
3(7)1.5x – 2 = 8
0.412
At what x-values does the function y = 1/3x3 – 3x2 – 7x + 5 have horizontal tangent lines?
x = –1 and x = 7
What is the biggest fast food chain in the world?
Mixue ice cream and tea