hardy weinberg problem
Phenylketonuria (PKU) is a human metabolic disease caused by the recessive allele k. If 2 heterozygous carriers of the allele marry and plan a family of five children: a) what is the chance that all their children will be unaffected? b) what is the chance that four children wi...
The lines x=4y−a and y=4x−b intersect at the point (1,2). What is a+b?
Three circles, each with a radius of 10, are mutually tangent to each other. The area enclosed by the three circles can be written as a√b−cπ, where a, b and c are positive integers, and b is not divisible by a square of a prime. What is the value of a+b+c?
It is given that sin(θ)=1/√15. In addition, a and b are coprime positive integers such that cos(2θ)=a/b. What is the value of a+b?
How many positive integers N are there such that the least common multiple of N and 1000 is 1000?
A group of friends are planning a road trip. If they all contributed $24, then they would be $6 short of the total. If they all contributed $25, then they would have $3 more than needed. What is the total cost of the trip?
The variables x and y satisfy the equations 2/x−24/y=−1 and 6/x+33/y=2. Find the product xy.
If it costs $75 to install 40 feet of fencing, how much does it cost to fence a rectangular garden that measures 12 feet by 16 feet?
find the integral: ∫tan^6 (x) dx
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