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Psychologists interested in learning theory study learning curves. A learning curve is the graph of a function P(t), the percentage of a skill that someone has acquired as a function of the training time t. Supposed that P improves at a rate proportional to the percentage of the skill yet to be mastered. Assuming that everyone starts off ignorant, find a formula for P(t). What is lim P(t) when t is approaching positive infinity?
Alone, the second pump takes 4 times as long as the first to fill the tank. How many minutes does it take the first pump alone to fill the tank?
A weather balloon is located on a bearing of N 42 E from the western station and a bearing of N 15 E from the eastern station. How far away is the balloon from the eastern station? From the Western Station?
Ron the realtor is offered a job directly out of real-estate school. he has a selection as to which way he will receive his salary the first year.
a postcard is 6in by 4in.a printing shop will enlarge it so that the longer side is any length up to 3 ft. find the dimensions of the biggest enlargement.
One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations of X and Y.
What is the probability of choosing a queen from a deck of 52 cards? What is the probability of the 2nd card being a queen if the first was a queen? (without replacement)
Joe has a ring weighing 20 grams made of an alloy of 20 % silver and the rest gold. He decides to melt down the rings and add enough silver to reduce the gold content to 73 %. How many grams of silver should he add?
Two chemicals A and B are combined to form a chemical C. The rate of the reaction is proportional to the product of the instantaneous amounts of A and B not converted to chemical C.
Consider the transformation w = (i - z) / (i + z) . Show that the upper half plane Im z > 0 maps to the disk |w|
Statistical analysis process - answering the research question of interest by drawing a conclusion about the population through the data collected in the sample.
1. a microchip company has two machines that produce the chips. machine i produces 65 of the chips and machine ii
Dental Services. The national cost C in billions of dollars for dental services can be modeled by the linear equation C = 2.85n + 30.52. Where n is the number of years since 1990 (HealthCare Financing Administration).
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