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Students in an English class took a final exam. They took equivalent forms of the exam at monthly intervals thereafter. The average score S(t), in percent, aftert months was found to be given by
S(t) = 68 - 20 log (t + 1), t ≥ 0.
a) What was the average score when they initially took the test, t = 0?
b) What was the average score after 14 months?
c) After what time t was the average score 40%?
At East Zone University (EZU) there are 631 students taking College Algebra or Calculus. 350 are taking College Algebra, 360 are taking Calculus, and 79 are taking both College Algebra and Calculus. How many are taking Algebra but not Calculus?
Rework problem 11 from section 1.3 of your text, involving high school students. Assume that 26 take mathematics, 26 take psychology, and 13 take mathematics and psychology.
If this card were using the interest rates of 30 years ago, how much interest would your card charge you this month?
What is the point of intersection of the two graphs? What information does this give us?
A university found that 30% of its students withdraw without completing the introductory statistics course. Assume that 20 students registered for the course.
Assuming that these percentages remain valid over a long period of time, what is each company's expected market share in the long run?
Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 ponds, and is spread evenly over the range of possibilities, so that there is a uniform distribution. Find the probability of the given range of pound..
A flu epidemic hits a large city. Each resident of the city is either sick, well, or a carrier. The proportion of people in each of these categories by age is given by the matrix:
A projectile is fired straight upward from ground level with an initial velocity of 112 feet per second. At what instant will it be back at ground level?
Automorphisms and Conjugation, Show that if H is any group then there is a group G that contains H as a normal subgroup with the property that for every automorphism f of H there is an element g of G such that the conjugation by g
Calculate the probability that the return for common stocks
A baseball diamond is a square 90 ft on each side. A player is running from home to first base at the rate of 25 ft/sec. At what rate is his distance from second base changing when he has run halfway to first base?
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