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Mathematics
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Explorations in College Algebra
Exam 1: An Introduction to Data and Functions
Path 4
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Question 21
Short Answer
Use the following to answer questions The following graph shows the results from 2,000 teenagers (ages 13 - 17) in the U.S. that were randomly selected and asked about the time they spent exercising each week.
-What percentage of 13 - 17 year old males exercise more than 2 hours per week?
Question 22
Short Answer
Two friends, Alfredo and Bob, are playing golf. Although they are about the same at driving the ball onto the green, Al is better at putting. On the 9th hole, Bob makes a 5 and Al hits into the lake and then gets stuck in a sand trap. By the time he gets to the green and makes it to the hole, his score is 12. Here are the scores for the 9 holes:
Find each of the following (if necessary, round to 2 decimal places): A) Al's mean B) Al's median C) Bob's mean D) Bob' median E) Who is the better golfer "on average"? (Explain your answer.)
Question 23
Multiple Choice
Find the mean of the data set below. 37, 69, 52, 40, 25, 64, 49, 73, 33, 66
Question 24
True/False
The equation defines y as a function of x.
Question 25
Multiple Choice
For the following data: 76, 74, 92, 86, 81, 84, 88, 78, 81, 77, 94, 16, 86, 81, 89, 80, 75, 84, 93, 90, 88, 91, 81, 76, 92 Which of the following should be considered an outlier?
Question 26
True/False
Determine whether the ordered pair, (-2,3), satisfies the equation.
Question 27
Short Answer
Find an equation that represents the relationship between x and y in this table:
Question 28
Short Answer
Jeremy has instructed his accountant to split any deposits into his retirement account into the investments as shown in the pie chart.
If Jeremy deposits $11,000 into his retirement account, how much will his accountant allocate to bonds?
Question 29
Essay
On what interval is this graph decreasing. State your answer in interval notation.
Question 30
Short Answer
Use the following to answer questions The following graph shows the results from 2,000 teenagers (ages 13 - 17) in the U.S. that were randomly selected and asked about the time they spent exercising each week.
-What percentage of 13 - 17 year old males exercise 3 hours or less per week?
Question 31
Essay
Use technology to graph the function and then determine the interval on which the graph is concave upward. State your answer in interval notation. y = 3.5x
4
- 21x
2
Question 32
Short Answer
The table shows starting salaries from a survey of recent college graduates:
What is the relative frequency of a graduate having a salary between $16,000 and $20,000? Round your answer to 2 decimal places.
Question 33
Short Answer
The following table gives values for a function y=f(x).
For what value(s) of x does f(x)=-9 ?
Question 34
Short Answer
Use the following to answer questions The following graph shows the results from 2,000 teenagers (ages 13 - 17) in the U.S. that were randomly selected and asked about the time they spent exercising each week.
-What percentage of 13 - 17 year old females exercise more than 5 hours per week?
Question 35
Multiple Choice
Which graph most likely illustrates the average daily temperature as a function of time (in months) . Assume the horizontal axis represents time.
Question 36
Multiple Choice
The histogram below was created use the ages of members of a certain family. Find the relative frequency of the family members in the 31-40 age range.
Question 37
Multiple Choice
In a group of seven people the heights, in inches, of six are know to be 72, 69, 65, 67, 72, and 61. If the median height of all seven people is 67, then what must the seventh (from largest to smallest) height be?