In the formula y=a+sin(bx)+c what do the variables a, b, and c stand for?
a is amplitude
b is period
c is vertical shift
100
Triangle ABC is isoceles. AB=AC, CB=15cm and angle ACB is 23 degrees. Find the size of angle CAB.
What is CAB=134 degrees
100
For the set of {8,4,2,10,2,5,9,12,2,6}
a. Find the mean
b. Find the mode
c. Find the median
a. 6
b. 2
c. 5.5
200
I= Crn/100
What is Interest formula
200
2,6,10,14,18
Write down the seventh number in the sequence.
26
200
Given sets U, A and B what is A U B?
A: {1, 13, 14, 23, 32}
B: {7, 12, 13, 14, 32, 34, 56, 62}
U: {integers}
A U B: {1, 7, 12, 13, 14, 23, 32, 34, 56, 62}
200
d=square of (x1-x2)^2+(y1-y2)^2 what is this formula for?
What is distance between two points.
200
If correlation coefficient, r, is .986...describe the relationship between the variables.
Positive and very strong
300
find f"(x) when f(x)=1/2x^3-2x^2+3
What is f"(x)=3x-4
300
Calculate the sum of the first 90 terms of the sequence: 2,6,10,14,18
16200
300
Given U, A and B what is A intersect B?
A: {1, 13, 14, 23, 32}
B: {7, 12, 13, 14, 32, 34, 56, 62}
U: {integers}
A intersect B= {13, 14, 32}
300
given points (0,9) and (3, 4.5) find the distance between the two points.
What is 5.41
300
Susan performs a chi-squared test to see if there is any association between the time to prepare for a penalty kick (short time, medium time, and long time) and the outcome (score a goal, doesn't score a goal). State the degrees of freedom.
(3-1) (2-1) = 2
400
Alex invests $1200 for 5 years at a rate of 3.75% compounded annually. Find the total amount he has after 5 years.
What is $1442.52
400
Solve for x and y using:
3x+2y-6=0
x-y+3=0
x=0 and y=3
400
p and v-->~p or ~q a tautology?
yes
400
in the formula for volume of a cylinder is V=pi r^2 h. What does r and h represent?
What is r is radius h is height
400
Find the standard deviation of the following data:
{14.3, 11.6, 12.2, 14.0, 20.4, 13.4, 12.9, 11.7, 13.1}
standard deviation (approx.) = 2.52
500
f(x)= 2x^3-3X6@-12x+5, find the gradient of the curve f(x) when x=3
What is f'(x)=24
500
Let U = {-4, (-2/3), 1, pi, 13, 26.7, 69, 10^33}
**A = integers and B=rational numbers**
a. List all the prime numbers in U.
b. List all the members of A.
c. List all the members of B.
a. {13}
b. {-4, 1, 13, 69, 10^33}
c. {-4, (-2/3), 1, 13, 26.7, 69, 10^33}
500
p-->q
find the converse, inverse, and contrapositive