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Using the fact that the centroid of a triangle lies at the intersection of the triangle's medians, which is the point that lies one-third of the way from each side toward the opposite vertex, find the centroid of the triangle whose vertices are (0,0), (a,0), and (0,b). Assume a is greater than 0, and b is greater than 0.
if a plane can travel 480 miles per hour with the wind and 420 miles per hour against the wind , find the speed of the plane still in the air.
Kaya has two 750ml cans of juice. She wants to put the juice in a 1.5L pitcher. Will the pitcher hold all of the juice? Explain your answer.
A car rental agency rents 210 cars per day at a rate of 31 dollars per day. For each 1 dollar increase in the daily rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum income, and what is the maximum income..
At the instant when the truck is 30 meters from the intersection and the car is 40 meters past the intersection, find the rate of change of the distance between the two vehicles. Are they getting further apart or closer together?
What is the probability that Cass answers all of the questions correctly? What the probability that he answers 3 questions correctly?
the following regression equation was calculated from a dataset of 20 observations yhat -1.0 2.5x1 4.0x2. the value
You have 600 yards of fencing to build a rectanglular fence. You use a long straight wall to form one side to save fencing. What is the maximum possible area that can be enclosed?
It is difficult to measure any residual radioactivity if N(t) drops below No/1000. But if this is the case, we can at least say that the living thing must have died at t years ago or more. Solve for t in the inequality: N(t) > No/1000.
Use the chi square test to find the listed occupations
Evaluate ∫cf(z)dz where f(z) = and C is the path from z= -1-I to z = 1+I along the curve y = x3
In 2006 there were about 11 million commercial flights in the United States. If one is selected at random what is the probability that it involved a fatal accident?
A recent data showed that 78% of the statistics students pass the class. If we randomly select 20 statistics students, what is the probability that exactly half of them would pass?
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