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Suppose a family has 2 children. Assuming that all combinations of boys and girls are equally likely, formulate precisely the sample space and probability measure that describes the genders of ttwo chilhe dren, in the order in which they are born.
A chemist need 180 milliliters of a 40% solution but has only 28% and 46% solutions available. Find how many mililiters of the 46% solution you will need to get the desired solution.
Suppose that 520 ft of fencing is used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle. (In the blue outline represents the fencing.) Find the dimensions of the corral with maximum area.
If the test is positive, what is the probability that the person actually has hepatitis? (Round your answer to five decimal places.)
Find the equation of the tangent plane to the ellipsoid 7x2 + 5y2 + 3z2 = 60 which pass through the line 5y - 3z = 0 = 7x + 10y - 30.
What is the probability that it is orange? What is the probability that it is orange, given it is NOT red?
Find the area under the standard normal curve and find the proportion of male college students whose height
A car left Shawnee at the same time traveling due east at 60 miles per hour. How much time will pass before the train and car are 405 miles apart?
Christina makes $9.25 purchase at a bookstore in Reno with a $20 bill. The store has no bills and gives her the change in quarters and dollar coins. There are 19 coins in all. How many of each kind are there?
The Family Arts Center charges $21 for adults, $13 for senior citizens, and $7 for children under 12 for their live performances on Sunday afternoon. This past Sunday, the paid revenue was $9833 for 745 tickets sold. There were 47 more children th..
A cricket produces 120 chirps per minute at 70 degrees and 168 chirps per minute at 80 degrees, what is the linear equation?
four pairs of data yield r=0.942 and the regression equation y=3x. also, y=12.75. what is the best predicted value of y for x=2.9
The plan for a 20ft-by-12ft patio has a square garden in the middle of it. If each side of the garden is x ft, the function y = 240-x^2 gives the area of the patio without the garden in square feet.
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