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MATH 16A QUIZ 6-
(1) A sample of radioactive material disintegrates from 25000 grams to 10000 grams in 12 days. After how many days will 256 grams remain?
(2) Let A(t) be the balance in a savings account after t years, and suppose that A(t) satisfies the differential equation
A'(t) = (ln 3)A(t)
with initial condition A(0) = 2.
(a) Find the formula for A(t).
(b) What is the balance at t = 3?
(c) At which time t is the balance equal to 162? Simplify your answer (it should be a whole number).
What is the difference between probability and non-probability sampling? In the answer provide examples on the use of probability sampling
A jar contains m+n tickets, numbered 1,2,...,n+m. A set of size n is drawn. If we let X be the number of tickets drawn, whose numbers exceed each of the numbers of those remaining, compute the probability mass function of X.
The two cars combined drive a total of 1775 miles, and the sum of their fuel efficiencies was 60 miles per gallon. What were the fuel efficiencies of each of the cars that week?
Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a 70-hour review course average a score of 797. Find a linear function S(t), which fits this data, and which expresses sc..
Evaluating and reporting the value of the correlation coefficient (r); report on the statistical significance of the parameter and provide a scatterplot.
Discuss the difference in appearance of a graph of an equation and a graph of an inequality.
Find the probability of correctly answering the first 2 questions on a multiple choice test if random guesses are made and each question has 5 possible answers
The length of a rectangle is 2 cm more than 5 times its width. If the area of the rectangle is 65 cm2, find the dimensions of the rectangle to the nearest thousandth.
A right circular cylinder has a diameter of 12 in. and a height of 12 in. If water is flowing in at the rate of 4π in3 per minute, find the rate of change of the height when the height is 4 in.
This question is from Mathematics as well as it is about calculating differentiation in trigonometry.
a box of cereal has the volume of 384 cubic inches. If the width of the box is 4 inches and the length is 8 inches what is the height of the box?
If the radius of the outer ripple increases uniformly at the rate of 2 cm. per sec. determine how rapidly the disturbed area of water is increasing at the end of 10 seconds.
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