The table shows the approximate height of an object x seconds after the object was dropped. The function h(x) = –16x2 + 100 models the data in the table. A 2-column table with 5 rows. The first column is labeled time (seconds) with entries 0, 0.5, 1, 1.5, 2. The second column is labeled height (feet) with entries 100, 96, 84, 65, 37.
(for simplicity)
Time(seconds) | Height(Feet)
0 | 100
.5 | 96
1 | 84
1.5 | 65
2 | 37

For which value of x would this model make the least sense to use?
A. –. 2.75
B. 0.25
C. 1.75
D. 2.25

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1. how do you convert the repeating, nonterminating decimal 0. to a fraction? explain the process as you solve the problem.

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?