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The number of assists per match for the setter on your school's volleyball team has a mean of 58 and a standard deviation of 7. If in the last game he made 77 assists, how many standard deviations is that from the mean?
If an 8 foot beam will support up to 750 pounds when the beam is 4 inches wide and 2 inches thick, what is the maximum safe load in a similar beam 10 feet long, 6 inches wide, and 2 inches thick?
State the coordinates of the vertex of each parabola and whether it opens upward or downward.
In a shop there are 20 customers, 18 of whom will make a purchase. If three customers are selected, one at a time, at random, what is the probability that all will make a purchase?
A farmer has 80m length of fencing. He wants to use it to form three sides of a rectangular enclosure against an existing fence which provides the fourth side. Find the maximum area that he can enclose and give its dimensions.
A skater spins at a rate of 50 rpm with her arms extended. When she draws her arms in the radius of gyration (k) is 0.6 of the original k. What is the maximum angular velocity she could attain if angular momentum is conserved? Express answer in ra..
A 118 foot line is attached to a kite. When the kite has pulled the line taut,the angle of elevation to the kite is approximately 42 degrees. Approximate the height of the kite.
A ball is hit at an angle of 36 degrees to the horizontal from 14 feet above the ground. If it hits the ground 26 feet away (in horizontal distance), what was the initial velocity? Assume there is no air resistance.
Suppose that the average outstanding credit card balance for young couples is $650 with a standard deviation of $ 420. If a couple is selected at random, what is the probability the outstanding credit card balance exceeds $ 700?
A basket contains 4 black, 2 blue, and 5 green balls. A sample of 3 balls is drawn. Find the probabilities that the sample contains the following.
In a cube with side length 6, what is the volume of the tetrahedron formed by any vertex and the three vertices connected to that vertex by edges of the cube?
Evaluate the exponential equation y=-3^x for three positive values of x, three negative values of x, and at x=0. Use the resulting ordered pairs to plot the graph. State the equation of the line asymptotic to the graph (if any).
You need to calibrate the bowl so that you can accurately measure the amount of rain that falls. What height of water in the bowl corresponds to one inch of rain?
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