Probability
Assuming women and men exist in equal number, and assuming that 5% of the men are color blind and that 0.25% of the women are color blind, find the probability that having drawn a color-blind person, this is a male.
.952
If f(x) = 7x-3+ln(x), then f'(1)=?
8
You deposit $100 into a bank account today. How much will be in the account in three years, with an interest rate i=0.05?
$115.76
What does the division of actuaries known as the CAS stand for?
Casualty Actuarial Society
Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
3/4
A particle moves along the x-axis. The velocity of the particle at time t is 6t-t2. What is the total distance traveled by the particle from time t=0 to t=3?
18
You buy a perpetuity due paying $100 a year for a price of X, at an interest rate of i=0.04, convertible monthly, what is X?
In what year did WNEU switch from Western New England College to Western New England University?
2011
Two dice are tossed. What is the probability that the total score is a prime number?
5/12
if y=xsin(x), then dy/dx=?
sin(x)+xcos(x)
Priya invests 1,000 at an annual nominal interest rate of r%, compounded monthly.
Lois invests 1,000 at an annual effective rate of r%.
Adam invests 1,000 at a continuous force of interest of r%.
It is known that r>0.
Determine whose account will have the most and the least amount after one year.
Most: Adam
Least: Lois
Which two mathematicians (independently) founded calculus?
Isaac Newton and Gottfried Wilhelm Leibniz
A university admitted 100 students who transferred from other institutions. Of these students, 34 transferred from two-year community colleges, 25 transferred from private four-year institutions, and the rest transferred from public four-year institutions. If two different students are to be selected at random from the 100 students, what is the probability that both students selected will be students who transferred from two-year community colleges?
17/150
if f(x)=(x2-4)1/2 and g(x)=3x-2, then the derivative of f(g(x)) at x=3 is:
3.1305 = 7/(51/2)
At a rate of interest, i, where i > 0, a 36-year annuity-immediate with annual payments of $4 has the same present value as an 18-year annuity-immediate with annual payments of $5.
In how many years does money double at rate of interest, i ?
9 years, (i=0.08)
In the Christmas carol "12 Days of Christmas", what gift was given on the fourth day?
Four calling birds
Workplace accidents are categorized in three groups : minor, moderate and severe. The probability that a given accident is minor is 0.5, that it is moderate is 0.4, and that it is severe is 0.1. Two accidents occur independently in one month. Calculate the probability that neither accident is severe and at most one is moderate.
0.65
limn->0((ln(4+n)-ln(4))/n) =
1/4
An insurance company accepts an obligation to pay 10,000 at the end of each year for 2 years. The insurance company purchases a combination of the following two bonds at a total cost of X in order to exactly match its obligation:
1-year 4% annual coupon bond with a yield rate of 5%
2-year 6% annual coupon bond with a yield rate of 5%
Calculate X.
18,594
What is the top Property and Casualty insurance company in the United States?
State Farm