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A triangle has vertices A = (0, 0), B = (1, 0), and C = (0, 1). Draw an angle bisector CZ, where Z is between A and B. First find the ratio AZ/ZB. Next find the sum AZ + ZB. Using these two equations in two unknown lengths, calculate the lengths AZ and ZB. Is the angle bisector a median?
Walleye is a common game fish. Adult walleye have a length with a mean of 44 cm and a standard deviation of 4 cm and the distribution of lengths is approximately Normal. What fraction of walleye are longer than 52 cm in length?
the system of equations under what conditions on the coefficients can we be guaranteed a unique solution?
Two planes leave an airport at the same time, one flying east, the other flying west. The eastbound plane travels 190 mph slower. They are 1580 mi apart after 2 hr. Find the speed of each plane.
you have the following data on 1 the average annual returns of the market for the past 5 years and 2 similar
A trough full of water has vertical ends in the shape of an isosceles triangle 5m across the top and 2m deep. Find the force against the end.
Joshua draws two ping-pong balls from a bowl of twenty ping-pong balls numbered 1 to 5. Provide a sample space for this experiment if
An electronic store receives a shipment of 30 graphing calculators, including 6 that are defective. Four of these calculators are selected to be sent to a local high school. How many selections can be made? How many of this selections will contain..
A man 6 ft tall walks at a rate of 5 ft/s away from a lamppost that is 23 ft high. At what rate is the length of his shadow changing when he is 60 ft away from the lamppost?
We are working with a function z = f(x,y) whose rules we don't know. But we do have a table of values for d/dx f(x,y) - use the tangent line approximation to estimate the value of function
The distance traveled by an object moving in a straight line is given by s=t^2-8t, where s is in feet and t is the time in seconds the object has been in motion. How long ( to the nearest tenth)
Use this recurrence relation to find the number of permutations of a set with n elements using iteration.
Find the Rieman sum for f(x)=x-2sin2x, 0
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