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In a population of body-builders, it is found that μ=201lbs and σ=3.9 If a body-builder has a weight of 190 lbs., how many standard deviations is the person from the average? (Round to the nearest tenth of a pound, and be sure to use the correct sign... + or -.)
Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation:
Unless otherwise specified, assume that all matrices in these exercises are n X n. Determine which of the matrices in are invertible. Use as few calculations as possible. Justify your answers.
How many of each should you purchase to minimize the total cost? (b) What is the total cost?
Identify any symbols you choose to use.
A truck burns fuel at the rate (gallons per hr) of G(x) = 1/33(64/x+x/49) while traveling at x mph. If fuel costs $1.18 per gallon, find the speed that minimizes total cost for a 200-mile trip.
Determine whether each is strong or weak, and note the relationship between your answer and the truth or falsity of the premise(s) and conclusion.- The Declaration of Independence says that all men are endowed by their creator with certain unaliena..
The sales of a new product (in items per month) can be approximated by S(x)=325+400log(3t+1), where t represents the number of months after the item first becomes available. Find the number of items sold per month 33 months after the item first be..
Determine the per annum interest rate required for an investment with continuous compound interest to triple in 6 years. Express your answer as a percent. Enter an exact answer or round to three decimal places, for example 10.227%. Don't include t..
The sets {1}, {2}, {31, {4}, {5} are the equivalence classes for a well-known equivalence relation on the set S = {1, 2, 3, 4, 5}. What is the usual name for this equivalence relation?
How much (on average) does the carnival gain on each play? (If the carnival loses money, enter a negative dollar amount)
How to solve this Problem: Suppose that V and W are finite dimensional vector spaces. Suppose that T->W is a linear transformation. Show that the kernel of T, denoted ker(T) and the image of T, denoted im(T), are vector subspace of V and W re..
A jar contains m+n tickets, numbered 1,2,...,n+m. A set of size n is drawn. If we let X be the number of tickets drawn, whose numbers exceed each of the numbers of those remaining, compute the probability mass function of X.
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