Concept explainers
Sometimes bar graphs will have more than one bar in each category. This is useful when categories can be divided into subcategories. An example of this is shown in the graph below, which was reproduced from the website of the Substance Abuse and Mental Health Services Administration, a division of the U.S. Department of Health and Human Services. A study was done on alcohol use among people in the 12-20 age bracket in 2010, with some results summarized by the graph. The SAMHSA website defines alcohol use as follows:
Current (past month) use - At least one drink in the past 30 days.
Binge use - Five or more drinks on the same occasion (i.e., at the same time or within a couple of hours of each other) on at least 1 day in the past 30 days.
Heavy use - Five or more drinks on the same occasion on each of 5 or more days in the past 30 days.
What percentage of boys reporting current alcohol use were in the heavy drinking category? What about girls?
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Pathways to Math Literacy (Loose Leaf)
- Frequency 12 Suppose that a random sample of 270 gradu- ating seniors are asked what their immediate priorities are, including whether buying a house is a priority. The results are shown in the following bar graph. a. The bar graph is misleading; explain why. b. Make a new bar graph that more fairly presents the results. Is Buying a House a Priority? 300 250 200 150 100 50 0 Yes No Undecidedarrow_forwardThe graph of f(x) is given below. Select each true statement about the continuity of f(x) at x = -4. Select all that apply: ☐ f(x) is not continuous at x = -4 because it is not defined at x = −4. ☐ f(x) is not continuous at x = -4 because lim f(x) does not exist. x-4 f(x) is not continuous at x = -4 because lim f(x) = f(−4). ☐ f(x) is continuous at x = -4. x-4 ين من طلب نہ 1 2 3 4 5 6 7arrow_forwardThe graph of f(x) is given below. Select each true statement about the continuity of f(x) at x = -1. -7-6-5 N HT Select all that apply: ☐ f(x) is not continuous at x = -1 because it is not defined at x = -1. ☐ f(x) is not continuous at -1 because lim f(x) does not exist. x-1 ☐ f(x) is not continuous at x = -1 because lim f(x) = f(−1). ☐ f(x) is continuous at x = -1. x-1 5 6 7arrow_forward
- Frequency 11 A polling organization wants to find out what voters think of Issue X. It chooses a random sample of voters and asks them for their opinions of Issue X: yes, no, or no opinion. I organize the results in the following bar graph. a. Make a frequency table of these results (including the total number). brocb. Evaluate the bar graph as to whether it biz s b fairly represents the results. of beau no STORE TO OW! vd wob spind 550 540 500 vd 480 420 360 300 250 240 Yes No Undecided Opinion on Issue Xarrow_forwardPercent 13 A car dealer specializing in minivan sales saibe conducts a survey to find out more about who its customers are. One of the variables at the company measures is gender; the results of this part of the survey are shown in the following bar graph. pow a. Interpret these results. b. Explain whether you think the bar graph is a fair and accurate representation of this data. 70 Gender of Customers 60 50 40 30 20 10 0 Males Femalesarrow_forwardUse the shell method to find the volume of the solid generated by revolving the region bounded by the curves and lines about the y-axis. y=x², y=7-6x, x = 0, for x≥0arrow_forward
- The graph of f(x) is given below. Select all of the true statements about the continuity of f(x) at x = −3. -7-6- -5- +1 23456 1 2 3 4 5 67 Select the correct answer below: ○ f(x) is not continuous at x = f(x) is not continuous at x = f(x) is not continuous at x = f(x) is continuous at x = -3 -3 because f(-3) is not defined. -3 because lim f(x) does not exist. 2-3 -3 because lim f(x) = f(−3). 2-3arrow_forwardThree cat- ency bar 10 Suppose that a health club asks 30 customers ad to rate the services as very good (1), good (2), fair (3), or poor (4). You can see the results in the following bar graph. What percentage of the customers rated the services as good? n; 2: pinion). of this to make a eople in ng ban?) Health Club Customer Ratings (1-very good,..., 4-poor) Frequency 10 8 00 6 11 A polling orga what voters t random samp for their opin no opinion. following ba a. Make a (includ bob. Evalua fairly tral 2 0 1 -2 3 4 540 480 420 360 300 240 Frequencyarrow_forwardCould you explain how this was solved, I don’t understand the explanation before the use of the shift property As well as the simplification afterwardsarrow_forward
- Question The function f(x) is shown in the graph below. Which of the following statements are true? Select all that apply. f(x) 12 10 -16 -14 -12 -10 -8 + -4 " 10 12 14 16 a Select all that apply: ☐ Condition 1 is satisfied. ☐ Condition 2 is satisfied. ☐ Condition 3 is satisfied. ☐ f(x) is continuous.arrow_forwardTwo planes are flying at the same altitude. One airplane is 60 miles due north of the control tower.Another airplane is located 70 miles from the tower at a heading of 80° east of south. To thenearest tenth of a mile, how far apart are the two airplanes?arrow_forwardSolve it correctly and in Frencharrow_forward
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