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Question: (a) In a group of 82 students, 59 are taking English, 46 are taking mathematics, and 12 are taking neither of these subjects. How many are taking both English and math?
(b) In a group of 97 students, the number taking English is twice the number taking math. Fifty-three students take exactly one of these subjects and 15 are taking neither course. How many students are taking math? How many are taking English?
How many bit strings of length 7 are there? Explain. How many bit strings of length 7 are there which begin with a 0 and end with a 1? Explain. How many bit strings of length 7 is there that contain an even number of ones? Explain.
What is the probability of an event that is impossible? Suppose that a probability is approximated to be zero based on empirical results. Does this mean that the event isimpossible?
What % of the total accounts receivable is over 90 days?
A rancher wants to fence in 3 adjacent rectangular pens in a row. Adjacent pens share one fence, and all pens are of equal size. If the rancher uses 144 yards of fencing, find the maximum total area he can enclose.
suppose that a train conductor claims that the variance of the time required to go from point a to point b is 133
Find the absolute maximum and absolute minimum values of the function f(x)= ((x^3)/3)-5x^(2)+24x on the interval[-3,10]
The average cost function for the weekly manufacture of portable CD players. Weekly production is currently 3,000 players and is increasing at a rate of 100 players per week. What is happening to the average cost?
How many grams of oxygen are in 5.89×1023 formula units of (NH4)2SO4? Express your answer to three significant figures and include the appropriate units
The force needed to keep a car from skidding on a curve varies jointly as the weight of the car and the square of the speed and inversely as the radius of the curve.
marathon run. Florence ran 26.2 miles in x hours in the boston marathon. a) Write a rational expression for her average speed. b) she runs at the same average speed for 1/2 hour in the cripple creed fun run. Write a rational expression for her dis..
in a certain city, the daily consumption of electric power, millions of kilowatt-hours, can be treated as a random variable having a gamma distribution with α= 3 and β = 2.
use the method of substitution to solve the system of linear equation.
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