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Let A and b be two subsets of a metric space R. Then the number P(A,B)=infP(a,b) (where a is in A, b is in B,) is called the distance between A and B. Show that P(A,B0=0 if A intersect B does not equal to an empty set, but not conversely.
A set in the plane - which can now be thought of as a set of vectors
a reflection pond is 17 feet long and 7 feet wide. It holds 476 ft3 of water. how deep is the pond?
In a large class, 80 students took a test. When the test papers were rated, it was found that 10% of the students had papers, 23% had B papers, 30% had C papers, 15% had D papers, and the rest failed. How many students failed the test?
explore if X and Y are independent and find the conditional pmf of Y given that 3 eggs among the six selected are cracked. What is the probability that X 1?
If you purchase a six-pack of sodas, and measure the amount in each can and find the average, the probability that the average of the six cans will be between 11.9 and 12.1 oz equals which standard normal probability?
uare meters. Initially the tank contains 30 cubic meters. Water leaves the tank, starting at t=0, at the rate of 2 + 4 t cubic meters per hour. Here t is the time in hours. What is the depth of water remaining in the tank after 3 hours?
Find the score that marks the top 5 percent
color guard is making flags that must have a base of 18 inches for flagpoles. what is the maximum length of the triangular flags, if they want to use a maximum of 252in.^2 of cloth?
Determine the probability distribution, and the cumulative probability distribution of car arrivals. Simulate 20 hours of car arrivals at Joe Kelly's oil change and tune-up place.
The pillars of the World II memorial in Washington D.C; are 17 feet tall. A scale model of the memorial has pillars that are 5 inches tall. What is the scale of the model?
until it hits the ground, where y is its height above the ground and x is the horizontal distance traveled in meters. Calculate the distance traveled by the prey from the time it is dropped until the time it hits the ground.
Calculate the probability of drawing a King or a diamond
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