Numbers and Algebra
0.00000895 in scientific notation
What is 8.95 x 10-6?
The gradient of line segment A (3,7) and B (1,14)
What is -7/2?
The volume of a cylinder with radius 3 cm and height 6 cm
What is 169 cm3?
The percent of data that lies between 4.3 and 8.2 on a bell curve with mean 6.9 and standard deviation 1.3.
What is 81.5%?
The derivative of x3 - 2x
What is 3x2 - 2?
The value of x in log3x=5
What is 243?
The zeroes of the function y=(x+3)(x-6)
What are -3 and 6?
The length of the arc with angle 115º and radius 2.1 ft.
What is 4.21 ft?
The probabilty that X is greater than or equal to 13 in the distribution X ~ B (20, 0.6)
What is 0.415?
The antiderivative of f(x) = x5 + 4x3
What is x^6/6 + x4?
The value of the 15th term in the arithmetic sequence 3, 9, 15, 21, ...
What is 87?
The perpendicular bisector to the line segment between A (1,5) and B (6,3)
What is y - 3 = -2/5(x - 6) or y - 5 = -2/5(x - 1)
The measure of length BC in triangle ABC (see Image B)
What is 12.4cm?
The value of a when P(X>a) = 0.76 in the distribution X ~ N (85, 3.42)
What is 82.6?
The common ratio in the geometric sequence with first term 4 and third term 100.
What is 5?
The coordinates of the y-intercept of the function y=3(4)x+2
What is (0, 5)?
The length of string on a kite 15 ft horizontally above Sam and at an angle of depression of 34º from Sam to his kite.
What is 26.8 ft?
Find the probability that Taizo knocks over a total of two bottles (see Image C). You can assume the events are independent.
What is 0.26?
The expression for f(x) if f(3) = 4 and f'(x) = 3x2 - 2x
What is f(x) = x3 - x2 - 14?
The monthly contribution to an account with an original deposit of $10,000 that grows at 5% interest and that will have $65,000 at the end of 8 years.
What is $425.46?
The period of the sine function f(x) = 3sin(5x)+3
The perpendicular bisector of AC (see Image A)
What is y = -0.8x + 11.2?
The conclusion and p-value of a X2 goodness of fit test at 5% significance with the given data (See Image D)
What is p = 0.637, accept?
The equation of the normal to f(x) = 2x2 - 8x + 20 at x = 3
What is y = -0.25x + 14.75?