CumulativeAmount of Precipitation Absolute Frequency Relative Frequency(number of years)(mm)Frequency< 502450-9945100 – 14911ТОTALS801Records kept by Thunder Bay Airport show the amount of precipitation receivedannually over the last 80 years. The amount of precipitation is categorized as shownin the table. Use the information in the first two columns to complete the last twocolumns.< 50 Relative Frequency:Cumulative Frequency:50-99Relative Frequency:Cumulative Frequency:100-149 Relative Frequency:Cumulative Frequency:

Relative frequency is used to understand the occurrence of observation from the total observation.…

Answered: Amount of Precipitation Absolute…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.2: Systems Of Linear Equations In Two Variables

Problem 33E

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Grade Point Average In many universities students are given grade points for each credit unit according to the following scale: A4 points B3 points C2 points D1 points F0 points For example, a grade of A in a 3-unit earns 43=12 grade points and grade points and a grade of B in a 5-unit course earns 35=15 grade points. A student’s grade point average (GPA) for these two courses is the total number of grade points earned divided by the number of units; in this case the GPA is (12+15)/8=3.375 . (a) Find a formula for a GPA of a student who earns a grade A in a units of course work, B in b units; C in c units, D in d units, and F in f units. (b) Find a GPA of a student who has earned a grade of A in two-units courses. B in one 4-unit course, and C in three 3-unit courses.
Grade Point Average In many universities students are given grade points for each credit unit according to the following scale: A 4 points B 3 points C 2 points D 1 point F 0 point For example, a grade of A in a 3-unit course earns 43=12 grade points and a grade of B in a 5-unit course earns 35=15 grade points. A students grade point average GPA for these two courses is the total number of grade points earned divided by the number of units; in this case the GPA is (12+15)8=3.375. a Find a formula for the GPA of a student who earns a grade of A in a units of course work, B in b units, C in c units, D in d units and F in f units. b Find the GPA of a student who has earned a grade of A in two 3-unit courses, B in one 4-unit courses and C in three 3-unit courses.
Mass-Luminosity Relation Roughly 90 of all stars are main-sequence stars. Exceptions include supergiants, giants, and dwarfs. For main-sequence stars including the sun, there is an important relationship called the mass-luminosity relation between the relative luminosity L and the mass M in terms of solar masses. Relative masses and luminosities of several main-sequence stars are reported in the accompanying table. Star Solar mass M Luminosity L Spica 7.3 1050 Vega 3.1 55 Altair 1 1.1 The Sun 1 1 61 Cygni A 0.17 0.002 a Find a power model for the data in this table. Round the power and the coefficient to one decimal place. The function you find is known to astronomers as the mass-luminosity relation. b Kruger 60 is a main sequence star that is about 0.11 solar mass. Use functional notation to express the relative luminosity of Kruger 60, and then calculate that value. c Wolf 359 has a relative luminosity of about 0.0001. How massive is Wolf 359? d If one star is 3 times as massive as another, how do their luminosities compare?
Further Verification of Newtons Second LawThis exercise represents a hypothetical implementation of the experiment suggested in the solution of part 6 of Example 3.7. A mass of 15 kilograms was subjected to varying accelerations, and the resulting force was measured. In the following table, acceleration is in meters per second per second, and force is in newton. Acceleration Force 8 120 11 165 14 210 17 255 20 300 a. Construct a table of differences and explain how it shows that these data are linear. b. Find a linear model for the data. c. Explain in practical terms what the slope of this linear model is. d. Express, using functional notation, the force resulting from an acceleration of 15 meters per second per second, and then calculate that value. e. Explain how this experiment provides further evidence for Newtons second law of motion.
Nutrition A biologist is performing an experiment on the effects of various combinations of vitamins. She wishes to feed each of her laboratory rabbits a diet that contains exactly 9mg of niacin, 14mg of thiamin, and 32mg of riboflavin. She has available three different types of commercial rabbit pellets; their vitamin content per ounce is given in the table. How many ounces of each type of food should each rabbit be given daily to satisfy the experiment requirements? Type A Type B Type C Niacin mg/oz 2 3 1 Thiamin mg/oz 3 1 3 Riboflavin mg/oz 8 5 7
Nutrition A researcher performs an experiment to test a hypothesis is that involves the nutrients niacin and retinol. She feeds one group of laboratory rats daily of diet of precisely 32units of niacin and 22,000units of retinol. She uses two types of commercial foods. Food A contains 0.12unit of niacin and 100units of retinol per gram. Food B contains 0.20unit of niacin and 50units units of retinol per gram. How many grams of each does she feed this group of rats each day?

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Amount of Precipitation Absolute Frequency | Relative Frequency (number of years) Cumulative Frequency (mm) < 50 24 45 50-99 100 – 149 11 80 1 TOTALS