AnswersAA - F26 Advanced AlgebraApplications with Standard Normal Distribution

Applications with Standard Normal Distribution — Cumulative exam Answers

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By what approximate factor is the intensity of an earthquake with magnitude 5.4 greater than an earthquake with magnitude 5.3?M = the magnitude of an earthquakeI = the intensity of an earthquakeI0 = the smallest seismic activity that can be measured, which is 1

Question illustration
A
1.01
B
1.21
C
1.26
D
10.44
42
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A simple random sample of 50 adults was surveyed, and it was found that the mean amount of time that they spend surfing the Internet per day is 54.2 minutes, with a standard deviation of 14.0 minutes. What is the 99% confidence interval (z-score = 2.58) for the number of minutes that an adult spends surfing the Internet per day?Remember, the margin of error, ME, can be determined using the formula .

Question illustration
A
49.1 minutes to 59.3 minutes
B
50.3 minutes to 58.1 minutes
C
54.2 minutes to 58.1 minutes
D
54.2 minutes to 59.3 minutes
43

What is the solution to

Question illustration
A
mc014-2.jpg
Option A
B
mc014-3.jpg
Option B
C
mc014-4.jpg
Option C
D
mc014-5.jpg
Option D
44

Which expression is equivalent to ? Assume x 0 and .

Question illustration
A
StartFraction 4 x (RootIndex 4 StartRoot y squared EndRoot) Over 9 EndFraction
Option A
B
StartFraction 2 x (RootIndex 4 StartRoot y squared EndRoot) Over 3 EndFraction
Option B
C
StartFraction 4 x squared y Over 9 EndFraction
Option C
D
StartFraction 2 x squared y Over 3 EndFraction
Option D
45

For what value of x does ?

Question illustration
A
1
B
3
C
12
D
no solution
46

Some randomly selected high school students were asked to name their favorite sport to watch. The table displays the distribution of results.What is the probability that a student chose football given that they like watching sports?

Question illustration
A
0.16
B
0.23
C
0.27
D
0.77
47

What is the solution to the equation ?

Question illustration
A
p =
Option A
B
p =
Option B
C
p = 24
D
p = 40
48

Which number is missing in the table of values below?xy01162363?41,296

A
108
B
216
C
324
D
648
49

A worker at the local Department of Motor Vehicles (DMV) claims that 60% of teenagers smile in their driver’s license photo. In a random sample of 10 teenagers from last month’s new driver’s licenses, only 4 of them were smiling in their photos. To see how unusual this sample is, 100 simulated trials were conducted under the assumption that 60% of teenagers smile for their driver’s license photo.

Question illustration
A
The actual proportion of teenagers who do not smile is only 8%.
B
It is clear that exactly 6 out of 10 teenagers will smile in their driver’s license photo.
C
If we continued to take more samples of 10 teenagers, the center of the distribution would shift to 6.
D
There is about an 8% chance that 4 or fewer teenagers smiled for their photo. This is not unusual and is not convincing evidence that the true probability is less than 60%.
50

What is the following sum?

Question illustration
A
4 x (RootIndex 3 StartRoot 2 y EndRoot) + 12 x squared y (RootIndex 3 StartRoot 2 y squared EndRoot)
Option A
B
8 x (RootIndex 3 StartRoot x y EndRoot) + 12 x cubed y squared (RootIndex 3 StartRoot 6 y EndRoot)
Option B
C
16 x cubed y (RootIndex 3 StartRoot 2 y squared EndRoot)
Option C
D
48 x cubed y (RootIndex 3 StartRoot 2 y EndRoot)
Option D

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