Cumulative Exam — Cumulative exam Answers

The amount of a sample remaining after t days is given by the equation , where A is the initial amount of the sample and h is the half-life, in days, of the substance. A sample contains 18% of its original amount of Radon-222. The half-life of Radon-222 is about 3.8 days. Which is the best estimate for the age of the sample?

The weight that a horizontal beam can support varies inversely as the length of the beam. Suppose that a 2-m beam can support 410 kg. How many kilograms can a 1-m beam support?a.820 kgb.0.0024 kgc.0.0098 kgd.102.5 kg

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It takes 2 painters 12 hours to paint the interior of a house. Assuming the amount of time it takes to paint the house is inversely related to the number of painters, how many hours will it take 6 painters to paint the house?

The scores of an eighth-grade math test have a normal distribution with a mean = 83 and a standard deviation = 5. If Din’s test score was 92, which expression would she write to find the z-score of her test score?

Which of the following is a valid probability distribution?

The heights of the trees in a forest are normally distributed, with a mean of 25 meters and a standard deviation of 6 meters. What is the probability that a randomly selected tree in the forest has a height greater than or equal to 37 meters? Use the portion of the standard normal table given to help answer the question.zProbability0.000.50000.500.69151.000.84132.000.97723.000.9987

Which of the following probabilities is the greatest for a standard normal distribution?

The graph of a logarithmic function is shown below.What is the domain of the function?

What are the domain and range of f(x) = 2(3x)?