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Question 1185982: A An infectious strain of bacteria increases in number at a relative growth rate of 210 percent per hour. (The relative growth rate is, when written as a decimal, the value of r in the formula P(t) = Ae^{rt} .) When a certain critical number of bacteria are present in the bloodstream, a person becomes ill. If a single bacterium infects a person, the critical level is reached in 24 hours. How long will it take for the critical level to be reached if the same person is infected with 10 bacteria?
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Question 1186382: A jar contains 4 red marbles, numbered 1 to 4, and 11 blue marbles numbered 1 to 11.
a) A marble is chosen at random. If you're told the marble is blue, what is the probability that it has the number 2 on it?
b) The first marble is replaced, and another marble is chosen at random. If you're told the marble has the number 1 on it, what is the probability the marble is blue?
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Question 1186512: 1. In the movie The Walk (2015), 24-year-old French high-wire artist Philippe Petit walks between the Twin Towers of the World Trade Center. While walking on the high-wire, he holds a long pole. Explain the physical significance of the pole.
2. Enumerate three (3) objects in your house that exhibits rotation, rotational equilibrium, and/or rotational inertia.
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Question 1186511: You are cycling with your friends every Saturday. You notice that the wheels of your bike make 12 revolutions in 14 seconds. (a) What is the average angular speed of the wheel in radians/second (rad/s)? (b) What distance in meters (m) does the wheel travel if its radius is 35 cm?
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Question 1186509: You are an Engineer in charge of designing objects that can achieve rotational equilibrium. Create a physics problem involving static equilibrium (but not limited to the following examples: see-saws, cable-hinge-strut-system, leaning ladders, weighing a heavy suitcase using a small bathroom scale, etc.). Solve and show your solution on the space provided below.
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Question 1186864: A man leaves his house at 8:00 AM and traveling at an average speed of 2 kph, arrives at his office
3 min ahead of the expected time. Had he left his house at 8:30 AM and traveled at an average
speed of 3 kph, he will arrive 6 min late of the expected time. Find the distance that he had
traveled.
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Question 1186869: The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible.
c. What is the Z-score for a giraffe that is 18.5 foot tall?
d. What is the probability that a randomly selected giraffe will be shorter than 17.5 feet tall?
e. What is the probability that a randomly selected giraffe will be between 16.7 and 17.2 feet tall?
f. The 70th percentile for the height of giraffes is
ft.
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