For questions 4-6: Use the information below: DDT (dichlorodiphenyltrichloroethane) was used extensively from 1940 to 1970 as an insecticide. It still sees limited use for control of disease. But DDT was found to be harmful to plants and animals, including humans, and its effects were found to be lasting. The following table shows what can be expected of 100kg of DDT that has seeped into the soil. t = years since application 0 1 2 3 D = DDT remaining 100 95 90.25 85.74 4. Is this data exponential? a)Yes, the data is exponential b) No, the data is not exponential 5. Make a model of D as an exponential function of x. a) D(x) = 100(0.85)^x b) D(x) = 100(0.95)^x c) D(x) = 100(1.85)^x d) D(x) = 100(1.95)^x 6. What is the half-life of DDT in the soil? That is, how long will it be before only 50kg of DDT remain? a) 15.5 years b) 14.5 years c) 13.5 years d) 12.5 years
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
For questions 4-6: Use the information below:
DDT (dichlorodiphenyltrichloroethane) was used extensively from 1940 to 1970 as an insecticide. It still sees limited use for control of disease. But DDT was found to be harmful to plants and animals, including humans, and its effects were found to be lasting. The following table shows what can be expected of 100kg of DDT that has seeped into the soil.
| t = years since application | 0 | 1 | 2 | 3 |
| D = DDT remaining | 100 | 95 | 90.25 | 85.74 |
4. Is this data exponential?
a)Yes, the data is exponential
b) No, the data is not exponential
5. Make a model of D as an exponential
a) D(x) = 100(0.85)^x
b) D(x) = 100(0.95)^x
c) D(x) = 100(1.85)^x
d) D(x) = 100(1.95)^x
6. What is the half-life of DDT in the soil? That is, how long will it be before only 50kg of DDT remain?
a) 15.5 years
b) 14.5 years
c) 13.5 years
d) 12.5 years
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