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In a certain town, 41.5% of the voters are Democrats and 58.5% of the voters are Republicans. In the last election 38.4% of the Democrats, and 41.6% of the Republicans voted. a) If a citizen who voted in the last election is randomly selected, what is the probability that they are a Democrat?
Let C be a circle with center P and X a point in the exterior of C. Construct the two tangent lines to the circle that pass through X.
determining initial population maximum population of fruit flies placed in a half pint milk bottle - word problemfruit
The manufacturer can produce the lamps at a cost of $4 per lamp. At what price should the manufacturer sell the lamp to generate the greatest possible profit?
A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 46.5ft^3. What dimensions yield the minimum surface area? Round to the nearest tenth, if necessary.
Find the derivative of f(x)= (3-4x^2)/(x^2-x-6) and then determine intervals of increase/decrease,local max and min values and points of concavity or inflection.
Let X be the number of random numbers selected from {0,1,2,...,9} independently until 0 is chosen. Find the probability mass functions of X and Y = 2X + 1.
To start a business, Tom borrowed $20,000, part at 16% annual interest rate and part at 15%. If the total amount of interest on both loans is $3120, how much did he borrow at 16%?
The trigonometric function to find exact value.
At a one percent level of significance, test to see if the mean of the population is at least twelve ounces. Write your conclusion?
a dealer offers a computer software program whose list price is 500 at a 19% discount. she will give an extra 3% discount if paid in cash. what is the selling price if payment is made in cash?
discretionary household income in a certain state is exponentially distributed with a mean of 4800 per year i.e. ?
A man rows a boat 480 feet upstream against a constant current in 8 minutes. He then rows 210 feet downstream ( with the same current) in 3 minutes. Find the speed of the current and the equivalent rate at which he can row in still water.
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