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Given that A, B, C, and D are noncoplanar, which of the following could be the intersection of Plane ABC and ray AD?
a line
a point
two points
a point or a line
Explain the concept of inverse variation. Provide two examples. What is the vertical asymptote for the function y = ( x^2 - 4) / ( x - 2 )?
Investigate puzzle and explain the solution to the paradox using mathematical reasoning.
Find a 98% confidence interval for the true proportion of patients who experienced cotton mouth. Show your calculations and/or explain the process used to obtain the interval.
The needle of the scale in the bulk food section of a supermarket is 21 cm. long. Find the distance the tip of the needle travels when it rotates 146 degrees.
A stone is dropped from the top of a 250 m tower. (Acceleration due to gravity is -9.8 m/s2. Ignore air resistance. Give your answers correct to two decimal places.)
Solve without graphing. Find the slope and the y-intercept for the graph of each equation in the given system. Use this information (and not the equations graph) to determine if the system has no solution or an infinite number of solutions.
a car is traveling 50mi/h when the brakes are fully applied, producing a constant decceleration of 22ft/s^2. What is the distnace traveled before the car comes to a stop.
The manufacturer can produce the lamps at a cost of $4 per lamp. At what price should the manufacturer sell the lamp to generate the greatest possible profit?
If q is the number of quarts of lemonade , then (1/4) q can be used to find the number of cups of lemonade mix needed to make the lemonade. How much mix is needed to make each amount of lemonade.
In an election between two candidates, 480 votes were cast. If the winner recieved 340 more votes than the loser, how many votes did the winner recieve?
Apply the product limit method to determine the survival function
Let X be a set of finite (positive) measure. Let C be the collection of all finite subsets of X and their complements in X. Is C an algebra of sets? Is C a σ-algebra? Explain.
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