Computer usage has increased over time. But has the increase been more linear or more exponential? In 1997, 22.2% of the population over three years of age, or about 60 million people, used the internet. In 1998, 32.7% of the population over three years of age, or about 90 million people, used the internet. a. If the usage increased linearly, write the linear function that would give 60 million people in year 0 and 90 million in year 1.

Answers

Answer 1
Answer:

That's an increase of 30,000,000 people in one year, a slope of 30 million and a good year for the internet.

If t is the year, and p is number of internet users,

p = 30000000(t - 1997) + 60000000

Answer: p = 30000000(t - 1997) + 60000000

As for linear versus exponential, one year of data can't really distinguish.


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At a high school, the probability that a student takes a science class and a history class is 0.48. The probability that a student takes a science class is 0.82, and the probability that the student takes a history class is 0.64. What is the probability (rounded to the nearest hundredth) that a student takes a history class given that the student is taking a science class?A)0.39
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Answers

Solutions 

Probability: number of favourable outcomes
                   __________________________

                   total number of possible outcomes

In general, the total number of possible outcomes can be determined by multiplying the number of possible outcomes for each event. 

P(A|B)= (P(A,B))/(P(B)) 

P(A|B) ⇒ P(taking history | taking science) , Therefore A corresponds to taking history, B corresponds to taking science. 

P(A,B) will be the probability that a student is taking both of the subjects. 

P(B) is the probability that a student is taking the subject science                       (regardless of whether he/she takes history or not)

Now to solve the problem you plug in the given numbers. 

0.48 ÷ 0.82

0.48 is the Probability of (A,B) and 0.82 is the Probability of (B) 

= 0.58537 

Rounded to 0.59 

Answer = (D)