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The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 88 inches, and a standard deviation of 10 inches. What is the likelihood that the mean annual precipitation during 25 randomly picked years will be less than 90.8 inches?
The group of even permutations of n symbols is denoted by A_n and is called the alternating group of degree n. Show that A_8 contains an element of order 15.
A bag contains 4 red, 3 white, and 5 blue marbles. How many samples of 4 marbles can be drawn in which two marbles are red and 2 marbles are blue?
Ten percent of all undergraduates at a university are chemistry majors. In a random sample of nine students, find the probability that exactly two are chemistry majors. (Round your answer to 4 decimal places.)
If the total amount paid is $2800 for a total of 500 hours of work, find the simple algebraic expressions and an appropriate set of constraints for the various possible number of hours put in by the laborers if C must work the largest number of ho..
Estimate the slope of the curve y = f(t) at t = 0 .2 . In principle, what is the relationship between this slope and the instantaneous speed?
The length of one leg of a right triangle is twice the length of the second leg. The hypotenuse is 15 meters. Find the length of the two legs.
To accomplish this reduction, management decides that the new bar should have teh same 3-cm thickness, but the length and width of each should be reduced an equal number of centimers. What should be the dimensions of the new candy bar?
Show by direct computation that the centriod of the triangle with vertices (0,0), (r,0), and (0,h)is the point(r/3,h/3). Verify that this point lies on the line from the vertex (0,0) to the midpoint of the opposite side of the triangle and two-thi..
Find the area enclosed by the given curve and the y-axis.
How many shirts must Gina sell to break even? What would be the total revenue of this?
Find the Z-transform of the filter (the transfer function H(z) and identify the zeros and poles (if any) of the function H(z),
in triangle MNO, angle M is equal to angle N, and angle O is 5 more than three times angle N. what is the measure of each angle?
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