I1 the population to A.Evaluatey= 2e ) 2. When will the population reach 3 million? B. Solve 2e.02 6. 3. How large will the population be in 3 yr? C.Evaluate y= 2e023) 4. How large will the population be in 4 months? D.Solve 2e.02 3 CONCEPT PREVIEW Radioactive Decay Strontium-90 decays according to the expo- nential function yyoe 0.0241 where t is time in years. Match each question in Column I with the correct procedure in Column Il to answer the question. I II 5. If the initial amount of Strontium-90 is 200 g, A.Solve 0.75yo yoe 0.0241t how much will remain after 10 yr? 6. If the initial amount of Strontium-90 is 200 g, how much will remain after 20 yr? B.Evaluate y = 200e .0241 (10) 7. What is the half-life of Strontium-90? C. Solve yo yoe 0.0241r. 8. How long will it take for any amount of Strontium-90 to decay to 75% of its initial D.Evaluate y = 200e 0.0241 (20) amount? (Modeling) exponential or logarithmic models. See Examples 1-6. The exercises in this set are grouped according to discipline. They involve Physical Sciences (Exercises 9-28) An initial amount of a radioactive substance yo is given, along with information about the amount remaining after a given time t in appropriate units. For an equation of the form y = yo ekt that mode ls the situation, give the exact value of k in terms of natural logarithms. After 6 hr, 10 g remain. 10. Уo - 30 gs 9. yo= 60 g; After 3 hr, 20 g remain. 12. yo = 20 mg; The half-life is 200 days. 11. yo = 10 mg; The half-life is 100 days. 14. yo= 8.1 kg; After 4 yr, O.9 kg remains. 2.4 lb; After 2 yr, 0.6 lb remains. 13. yo 15. Decay of Lead A sample of 500 g of radioactive lead-210 decays to polonium-210 according to the function Solve each problem. A(t) = 500e 0.032; where t is time in years. Find the amount of radioactive lead remaining after (c) 20 yr. (d) Find the half-life. (b) 8 yr, (а) 4 yr, ల
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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