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A student's bank account is represented in the table shown.
N
Time (weeks) Balance (S)
2
0
0.00
1
5.00
2
1.00
3
10.00
4
4.00
<
5
12.00
6
8.00
7
18.00
8
10.00
9
15.00
• Create a linear regression equation that can be used to model the amount of money in the account (the balance)..y, based on the time (in weeks), X
Round all values to the nearest hundredth.
• Use the model to approxima the amount in the account after 15 weeks. Round to the nearest hundredth
• Use the model to approximate how long it would take to have $50.00 in the account. Round to the nearest whole week.
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90 00

Which statement about the relative areas of ? abc and ? xyz is true? the area of ? abc > the area of ? xyz the area of ? abc < the area of ? xyz the area of ? abc = the area of ? xyz more information is needed to compare.

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?

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