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957 randomly selected light bulbs were tested in a laboratory, 491 lasted more than 500 hours. Find a point estimate of true proportion of all light bulbs that last more than 500 hours.
Definition of a measurable function: the function f is measurable on the interval [a,b] if for all c in R, the set {x in [a,b] : f(x) >c} is measurable.
The total surface area of a square based open-top rectangular box is 12 cm^2. Find the dimensions of the box of maximum volume.
Applications of quadratic equations: Maxima and minima and What depth will provide a maximum cross sectional area and thereby provide for the greatest flow of water
Explain the theory developed including capacitated s,t graphs and the lexicographic ordering rule based on the case study and suggested readings.
Calculate an adjusted exponentially smoothed forecast
A bacteria culture starts with 7 bacteria which multiply simultaneously every three house. If the first generation is born fromt he initial group at 12 midnight
Educational attainment and smoking status.
Factoring is the problem of computing, on input a positive integer n, a factorization of n in terms of prime powers
Let R be a principal ideal domain and a, b, in R, not both zero. Prove that a, b have a greatest common divisor that can be written as linear combination of a and b.
If f is a reimann integrable function on [a,b], and if [c,d] is a subset of [a,b], prove that f is reimann integrable on [c,d] hint: if P is any partition of [c,d], P can be extended to a partition P* of [a,b] with ||P*||
Calculating probabilities of a dice game. Suppose someone gives you 9 to 2 odds that you cannot roll two even numbers with the roll of two fair dice. This means you win $9.00 if you succeed and you lose $2.00 if you fail.
Find a polynomial function that has the given zeros.
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