A 45-45-90 triangle has a leg with length 7. Find the length of the hypotenuse.
What is 7*sqrt(2)?
200
Tell if the sample is biased or unbiased & explain: A grocery store wants to know which day of the week consumers prefer to do their grocery shopping. Everyone who shops on Friday is asked which day of the week they prefer to do their shopping.
What is biased?
300
Multiply: 6i(-3 - 7i).
What is 42 - 18i?
300
Solve: 1/3(x + 4)^2 - 1 = 5.
What is -4 +- 3*sqrt(2)?
300
Find x: 8^(5x) = 16^(3x + 4).
What is x = 16/3?
300
The long leg of a 30-60-90 triangle is 5*sqrt(3). Find the length of the hypotenuse.
What is 10?
300
The heights of fully grown white oak trees are normally distributed with a mean of 90 feet and a standard deviation of 3.5 feet. Find the z-score corresponding to an x-value of 94 feet.
What is z = 1.1?
400
Multiply: (-8 - 2i)(1 + 2i)
What is -4 - 18i?
400
Graph: f(x) = 2|x + 1| - 4
See graph. Vertex: (-1, -4) & "slope" = 2
400
Find the inverse: f(x) = 4x^3 - 5.
What is y = (x+5 / 4)^1/3?
400
A circle has diameters MN and XY & arc MX = 54. Find the angle of arc NX.
What is 126?
400
Write a quadratic function in vertex form that has:
vertex: (2, 1) & point on graph: (4,5).
What is y = (x - 2)^2 + 1?
500
Simplify: (-4 - 5i) / (9 + i).
What is -1/2 - i/2?
500
Solve using the Quadratic Formula: x^2 + 5x - 2 = 0.
What is -5/2 +- sqrt(33)/2
500
Let f(x) = 3x + 2 & g(x) = 2x^2. Find g(f(x)).
What is 18x^2 + 24x + 8?
500
A circle C has a radius of 12. Find the arc length of AB if m
What is 24.09?
500
Find the standard deviation: 31, 33, 35, 37, 32, 34, 39.