Section 1.7 Exponents, Square Roots, and the Order of Operations 69 Concept 4: Computing a Mean (Average) For Exercises 94–96, find the mean (average) of each set of numbers. (See Example 5.) 94. 19, 21, 18, 21, 16 95. 105, 114, 123, 101, 100, 111 96. 1480, 1102, 1032, 1002 97. Neelah took 6 quizzes and received the following scores: 19, 20, 18, 19, 18, 14. Find her quiz average. 98. Shawn’s scores on his last 4 tests were 83, 95, 87, and 91.What is his average for these tests? 99. Toyota Motor Company has been very competitive in building fuel-efficient autos. In a recent year, five of Toyota’s most efficient cars had mileage ratings of 49 mpg, 30 mpg, 34 mpg, 31 mpg, and 26 mpg.What was the average mileage rating for these vehicles? 100. On a trip, Stephen had his car washed 4 times and paid $7, $10, $8, and $7.What was the average amount spent per wash? 101. The monthly rainfall for Seattle,Washington, is given in the table. All values are in millimeters (mm). Jan. Feb. Mar. Apr. May Jun. Jul. Aug. Sep. Oct. Nov. Dec. Rainfall 122 94 80 52 47 40 15 21 44 90 118 123 Find the average monthly rainfall for the months of November, December, and January. 102. The monthly snowfall for Alpena, Michigan, is given in the table. All values are in inches. Jan. Feb. Mar. Apr. May Jun. Jul. Aug. Sep. Oct. Nov. Dec. Snowfall 22 16 13 5 1 0 0 0 0 1 9 20 Find the average monthly snowfall for the months of November, December, January, February, and March. Expanding Your Skills Sometimes an expression will have parentheses within parentheses.This is called nested parentheses. Often different shapes such as ( ), , or { } are used to make it easier to match up the pairs of parentheses, for example, 5300 4 4 15 222 86 31 It is important to note that the symbols ( ), , or { } all represent parentheses and are used for grouping.When nested parentheses occur, simplify the innermost set first.Then work your way out. For example, simplify The solution is 5300 4 4 15 222 86 31 Simplify within the innermost parentheses first ( ). Simplify the exponent. Simplify within the next innermost parentheses . Multiply before adding. Subtract and add in order from left to right within the parentheses { }. Simplify within the parentheses { }. 5300 4 4 15 222 86 31 5300 4 4 1722 86 31 5300 4 4 49 86 31 5300 4 53 86 31 5300 212 86 31 588 86 31 96 31 65 Simplify.
miller_basic_college_math_3e_ch1_3
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