The probability that a person will remember between 100 a % and 1 00b% of material learned in an experiment is P a , b = ∫ a b 15 4 x 1 − x d x Where x represents the proportion remembered. (See figure.) (a) For a randomly chosen individual, what is the probability that he or she will recall between 50% and 75% of the material? (b) What is the median percent recall? That is, for what value of b is it true that the probability of recalling 0 to b is 0.5? Figure for 111
The probability that a person will remember between 100 a % and 1 00b% of material learned in an experiment is P a , b = ∫ a b 15 4 x 1 − x d x Where x represents the proportion remembered. (See figure.) (a) For a randomly chosen individual, what is the probability that he or she will recall between 50% and 75% of the material? (b) What is the median percent recall? That is, for what value of b is it true that the probability of recalling 0 to b is 0.5? Figure for 111
Solution Summary: The author calculates the probability that selected person will recall 50%and 752% of the material, where probability is 0.353.
After a great deal of experimentation, two college senior physics majors determined that when a bottle of French champagne is shaken several times, held upright, and uncorked,
its cork travels according to the function below, where s is its height (in feet) above the ground t seconds after being released.
s(t)=-16t² + 30t+3
a. How high will it go?
b. How long is it in the air?
+6x²+135x+1) (0≤x≤10). a) Find the number of units
The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is given by P(x) = In (-x²+6x² + 135x+
that should be sold in order to maximize the total profit. b) What is the maximum profit?
The fox population in a certain region has an annual growth rate of 8 percent per year. It is estimated that the
population in the year 2000 was 22600.
(a) Find a function that models the population t years after 2000 (t = 0 for 2000).
Your answer is P(t)
=
(b) Use the function from part (a) to estimate the fox population in the year 2008.
Your answer is (the answer should be an integer)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
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