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Mark and Rene have a 1:00pm tee time to play golf today. There is a 0.8 probability that Mark will make it. There is a 0.5 probability that Rene will make the tee time. If Mark makes the tee time, then there is a 0.8 chance that Rene will then make the tee time. What is the probability that Rene will make the tee time but Mark will not?
The wheels of a car have a 24-in. diameter. When the car is being driven so that the wheels make 10 revolutions per second, how far will the car travel in one minute?
Multiple choice questions based on regression
What is the probability of getting an A on the paper? What is the probability of getting an A on the exam?
A test vehicle on a track goes through photo gates spaced 25 m apart at the following times: 2.00 sec, 3.30 sec, 4.30 sec. Plot the position versus time of the vehicle. Plot the average speed of the vehicle in the time intervals versus time.
Lisa participated in a triathlon in which she swam 3 miles ran 5 miles and then bicycled 10 miles. Lisa ran twice as fast as she swam and she cycled three times as fast as she swam.
If the vertices of quadrilateral PEAR are P(-3, 0), E(0, 4), A(5, -6), and R(-1, -4), show, using coordinate geometry, that quadrilateral PEAR is not an isosceles trapezoid.
Explain in your own words when the elimination method for solving a system of equations is preferable to the substitution method.
When graphing a linear inequality, how do you know if the inequality represents the area above the line? What are the necessary and sufficient conditions for inequalities to represent an area in the first quadrant?
Show that a function f is measurable IF AND ONLY IF there exists a sequence (f_m) of set functions such that f(x)=lim f_m(x) for almost all x.
In a carnival game the players selects two coins from a bag containing two silver dollars and six slugs
For this module you will design some simple digital circuits based on Boolean expressions. Draw circuits that implement the following Boolean expressions using some combination of AND, OR, NOT, NAND, and NOR gates.
Find the gradient of f(x,y) at (3,2). Compute the directional derivative (triangle u) f(3,2) where u is the unit vector in the direction of v =
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