# Math Questions

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Math

Basic MathThe shaded regions in the circle graphs shown to the right show the percentage of children in the United States whose parents are college graduates in one parent and two parent households Use the information shown to solve parts a and b on Percentage of U S Children Whose Parents Are College Graduates 7 In One Parent Households a What are the odds in favor of a child in a one parent household having a parent who is a college graduate The odds in favor of a child in a one parent household having a parent who is a college graduate are 7 93 Simplify your answer b What are the odds against a child in a one parent household having a parent who is a college graduate The odds against a child in a one parent household having a parent who is a college graduate are Simplify your answer 23 In Two Parent Households

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StatisticsDescribe World Population in Billions what is misleading in the visual display of data below 1 2 3 4 5 6 1004 1927 1960 1974 1987 1999 7 2012 2026 2043 Choose the correct answer below A The bars on the vertical axis curve around the globe instead of being on a straight line B Part of the time frame on the horizontal axis of the graph has been cut off C Time intervals on the horizontal axis do not represent equal amounts of time D The title does not explain what is being displayed S SC

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Sets and RelationsThe figure below shows an arrow diagram of a partial order R R b List the maximal elements in the partial order List the minimal elements in the partial order List all the elements that are comparable to e 2 Ex a c

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Basic MathOne cup of breakfast cereal was found to contain the nutrients shown here Carbohydrates Minerals Vitamins Water Protein 0 0 6 1 0 2 2 0 4 6 a Find the ratio of water to protein b Find the ratio of carbohydrates to protein c Find the ratio of vitamins to minerals HH 8 Grams 18 d Find the ratio of protein to vitamins and minerals 20 21 0 22 Preview Preview Preview Preview

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StatisticsThe correlation coefficient of a set of data is 0 91 Select all of the statements that are true The positive correlation coefficient tells us that there is an outlier The two variables involved have a very strong positive correlation The correlation coefficient implies that as the independent variable increases the dependent variable increases Because the correlation coefficient is positive there is no causation The correlation coefficient implies causation

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StatisticsThe figure to the right shows the results of a survey in which 1019 adults from Country A 1004 adults from National Identity and Birthplace Country B 1013 adults from Country C 1024 adults from Country D and 1019 adults from Country E were asked whether national identity is strongly tied to birthplace People from different countries who believe national identity is strongly tied to birthplace Country A Country B Country C Country D Country E 35 20 28 50 13 Construct a 95 confidence interval for the population proportion of adults who say national identity is strongly tied to birthplace for each country listed The 95 confidence interval for the proportion of adults from Country A who say national identity is strongly tied to birthplace is Round to three decimal places as needed

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StatisticsUse the Empirical Rule The mean speed of a sample of vehicles along a stretch of highway is 69 miles per hour with a standard deviation of 5 miles per hour Estimate the percent of vehicles whose speeds are between 5 per hour and 84 miles per hour Assume the data set has a bell shaped distribution Approximately of vehicles travel between 54 miles per hour and 84 miles per hour

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Basic MathSelect the correct description of each term the point where all three medians meet the point where all three altitudes meet the point where all three perpendicular bisectors meet a segment connecting the midpoint of the side of a triangle to the opposite angle a line segment perpendicular to a side at the midpoint of that side a segment from a vertex porn centroid othocenter circumcenter Choose Choose centroid circumcenter othocenter altitude perpendicular bisector median Choose

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ProbabilityA study reports that 61 of Americans support increased funding for public schools If 3 Americans are chosen at random what is the probability that a All 3 of them support increased funding for public schools b None of the 3 support increased funding for public schools c At least one of the 3 support increased funding for public schools Next Question

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Binomial theoremQuestion 4 of 25 A study of immunizations among school age children in California found that some areas had rates of unvaccinated school age children as high as 13 5 in 2014 Imagine a classroom of 20 children in one such area where 13 5 of children are unvaccinated If there are no siblings in the classroom we are willing to consider the vaccination status of the 20 unrelated children to be independent a Obtain the probability that none of the 20 children in such a classroom would be unvaccinated Enter your answer rounded to three decimal places I P None of the 20 children are unvaccinated b Obtain the probability that at least one of the 20 children in such a classroom would be unvaccinated Enter your answer rounded to three decimal places

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Basic Math1 Calculate the gross earning Round your answer to the nearest cent Worker Swan Number of units produced 846 Rate per unit 0 58 Gross earning

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Coordinate systemMatch the following items In the figure below several reflections are illustrated Note one line if symmetry is m and one is I Pay close attention to the line of reflection being indicated by R and Rm 1 Rm T 2 Rm Z 3 Rm X 4 R Y 5 R A 6 R C m S B F E T Y E

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Basic MathComplete the following table assume the overtime for each employee is a time and a half rate after 40 hours Do not round intermediate calculations Round your overtime rate and gross earnings to the nearest cent Employee Tagney M T 14 8 W 9 Th 9 F 5 Sa 1 Total regular Total overtime hours hours Regular rate 7 60 Overtime rate Gross earnings

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StatisticsThe results of a certain medical test are normally distributed with a mean of 125 and a standard deviation of 15 A score above 137 is considered unhealthy Use the given table to find the percentage of people with readings below 134 z score Percentile z score Percentile z score Percentile 0 1 53 98 1 1 86 43 2 1 98 21 0 2 57 93 1 2 88 49 2 2 98 61 0 3 61 79 1 3 90 32 2 3 98 93 0 4 65 54 1 4 91 92 2 4 99 18 The percentage of people with readings below 134 is 0 5 69 15 1 5 93 32 2 5 99 38 0 6 72 57 1 6 94 52 2 6 99 53 0 7 75 80 1 7 95 54 2 7 99 65 0 8 78 81 1 8 96 41 2 8 99 74 0 9 81 59 1 9 97 13 2 9 99 81 1 0 84 13 2 0 97 72 3 0 99 87 3 5 99 98 4 0 99 997

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Basic MathComplete the following table Round your gross pay to the nearest cent Employee Bernie Roy M 9 T 6 W 9 Th F 7 6 Hours Rate per hour 8 95 Gross pay

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Basic MathA line shaft rotating at 300 rpm is connected to a grinding wheel by the pulley assembly shown If the grinder shaft must turn at 1050 rpm what size pulley should be attached to the line shaft If the grinder shaft must turn at 1050 rpm a 300 rpm C in pulley should be attached to the line shaft 6 pulley x pulley Grinding wheel G

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Basic Math4 State whether the graph of has infinite discontinuity jump discontinuity point discontinuity or is continuous The function is continuous The function has infinite discontinuity The function has point discontinuity The function has jump discontinuity

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Basic Math6 An airplane is taking off headed due north with an air speed of 173 miles per hour at an angle of 18 relative to the horizontal The wind is blowing with a velocity of 42 miles per hour at an angle of S47 E Find a vector that represents the resultant velocity of the plane relative to the point of takeoff Let i point east j point north and k point up Show work

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Application of derivativesA baseball is travelling on a path given by the equation y 0 011x 1 15x 1 22 The profile of the bleachers in the outfield can be modelled with the equation y 0 6x 72 All distances are in metres a Determine the maximum height of the ball b Does the ball reach the bleachers for a home run Justify your answer

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Basic MathA frustum of a pyramid is a part of the pyramid with two parallel bases The lateral faces of the frustum are trapezoids Use the area formula for a trapezoid to derive a formula for the lateral area of a frustum of a regular square pyramid with base edge lengths b and b2 and slant height A B b2 b 2 b b l b b h 2 4 2 61 62 b b l 21 e

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Basic Mathmatches the graph you drew A 5 3 y 0 1 OA Graph A B Graph B C Graph C D Graph D B 5 3 10 V 0 1 C 5 3 10 0 1 5 3 D 5 0 1

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Basic Math23 25 Find the value of each variable 23 Kite 25 trapezoid X 11 x 2 y 5 x 5 Perimeter 85 cm 37 cm 18 cm 8m 24 26 A trapezoid X y Perimeter of ABCD B 4 37 cm H EB 1 33 cm 53 128 D

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Basic MathIf you randomly select a letter from the phrase Brandon loves to eat at Red Robin what is the probability that you select a vowel Your answer must be in the form of a reduced fraction

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CircleFind the center radius form of the equation of the circle with center 9 1 and tangent to the x axis Hint A line tangent to a circle touches it at exactly one point Type the center radius form of the equation of the circle Type an equation Simplify your answer

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ProbabilitySuppose the body mass index BMI of a group of athletes has a population mean of 24 98 and a standard deviation of 4 18 If a random sample of 150 athletes is chosen for a study compute the standard deviation of the sampling distribution of the mean Give your answer to two decimal places Standard deviation of the sampling distribution of the mean

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Basic MathTry it Sam ran 63 756 feet in 70 minutes What is Sam s rate in miles per hour There are 5 280 feet in one mile Converting Step 1 What is Sam s rate as stated 63 756 feet 70 minutes Step 2 What factor is used to convert feet per minute into miles per minute 5 280 feet 1 foot 1 mile 1 minute Check 63 756 ft 70 min

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Basic Math19 A space vehicle is orbiting Jupiter in a circular orbit What radian measure corresponds to a 4 25 orbits b orbi 2 a The radian measure corresponding to 4 25 orbits is Type an exact answer in terms of Type an integer or a simplified fraction 19 b The radian measure corresponding to orbit is 2 Type an exact answer in terms of Type an integer or a simplified fraction

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StatisticsGoogle it According to a report of the Nielsen Company 86 of internet searches used the Google search engine A sample of 100 searches is studied Use the Cumulative Normal Distribution Table or technology Round your answer to four decimal places Part 0 3 Part 1 of 3 a Approximate the probability that more than 82 of the searches used Google The probability that more than 82 of the searches used Google was approximately

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Basic MathUse Synthetic Division to determine each quotient and remainder if necessary If possible use the quotients to write the dividend in factored form no imaginary values and list all the zeros If NOT possible with given divisor write DNE for all applicable answers Complete work must be shown for credit x3x 62 12x 8 x 1 Quotient Factored Form Zeros Select an answer

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Basic MathThe table below summarizes results from an experiment in which subjects were classified as asthmatic or nonasthmatic and then given a treatment After the treatment they were again classified as asthmatic or nonasthmatic Using the appropriate frequencies find the value of the test statistic Round to three decimal places if necessary Tip USE x lb c 1 b c After Treatment 0 701 Asthmatic Nonasthmatic Before Treatment Asthumatic Nonasthmatic 9 2 15

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Solution of trianglesFrom Times Square in New York City you can see Central Park and the Empire State Building The approximate distance from Times Square to Central Park is 2 miles Central Park to the Empire State Building is 1 3 miles and Empire State Building to Times Square is 0 9 miles What is the approximate angle to the other tw landmarks from Times Square O 20 205 29 926 O 114 624

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Probabilitye probability is 0 3 that a traffic fatality involves an intoxicated or alcohol impaired driver or nonoccupant In six traffic fatalities find the probability that the number Y which involve an intoxicated or alcohol impaired driver or nonoccupant is exactly three at least three at most three between two and four inclusive Find and interpret the mean of the random variable Y Obtain the standard deviation of Y The probability that exactly three traffic fatalities involve an intoxicated or alcohol impaired driver or nonoccupant is ound to four decimal places as needed

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Basic MathWhich statement best describes how many chlorine atoms are needed when making Barium chloride 2 chlorine atoms are needed because each chlorine atom accepts one of bariums two valence electrons to obtain a full octet and makes chlorine a negatively charged anion 1 chlorine atom is needed because chlorine accepts one electron from barium to obtain a full octet and makes chlorine a negatively charge anion 1 chlorine atom is needed because chlorine accepts one electron from barium to obtain a full octet and makes chlorine a positively charged cation 2 chlorine atoms are needed because each chlorine atom accepts one of bariums two valence electrons to obtain a full octed and makes chlorine a positively charged anion

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Probability20 The numbers 1 through 8 are written in separate slips of paper and the slips are placed into a box Then 4 of these slips are drawn at random What is the probability that the drawn slips are 1 2 3 and 4 in that order A 0 01429 B 0 34296 C 0 000595 D 0 01428 2 20

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StatisticsDoctors are testing a new antidepressant A group of patients all with similar characteristics take part in the study Some of the patients receive the new drug while others receive the traditional drug During the study a number of patients complain about insomnia The data are shown in the contingency table below What is the relative risk of insomnia for those who receive the new drug Round to two decimal places New drug Insomnia Total 52 Traditional drug 36 88 No insomnia Total 226 295 521 278 331 609

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StatisticsUse the table to find the value that is three standard deviations above and below the mean Enter exact numbers as integers fractions or decimal Baseball Player Fredo Batting Average Team Batting Average 0 158 0 186 Karl 0 177 0 199 a above the mean Fredo s Team Karl s Team b below the mean Fredo s Team Karl s Team Team Standard Deviation 0 012 0 015

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Basic MathGraph the following function by moving the green and blue dots if necessary y x 5 3 Start Over 10 9 8 7 6 5 4 3 2 1 10 9 8 y 7 6 5 4 3 2 1 5 1 2 3 4 5 6 7 8 3 1 2 3 4 5 6 7 8 9 10 X

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Basic MathA rectangle that is x feet wide is inscribed in a circle of radius 12 ft a Express the area of the rectangle as a function of x b Find the domain of the function c Graph the function with a graphing calculator d What dimensions maximize the area of the rectangle a Express the area of the rectangle as a function of x A x x 576 x Simplify your answer b Find the domain of the function Choose the correct answer below OA x 24 x 24 OC x x 576 OE x x2576 OG x x 24 c Choose the correct graph below The window settings for each graph are shown below it OA OB 0 24 0 310 d What dimensions maximize the area of the rectangle The width of the rectangle with maximum area is and the length is Do not round until the final answer Then round to three decimal nlaces as needed 0 24 0 310 OB x10 x 24 OD x x 24 OF x10 x 576 OH x x 0 O C 0 24 0 620 OU OD 0 24 0 620 12 ft

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ParabolaUse the method of completing the square to find the standard form of the quadratic function f x x 6x 1 y State the vertex and axis of symmetry of the graph of the function axis of symmetry X vertex Sketch the graph O x y 10 9 8 Graph Layers After you add an object can use Graph Layers to properties

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Definite Integralset R be the region bounded by the following curves Use the shell method to find the volume of the solid generated when R is revolved about the x axis x x 0 and y 11 Set up the integral that gives the volume of the solid Use increasing limits of integration Select the correct choice below and fill in the answer boxes to complete your Choice Type an exact answer OA Sody O B JO

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Solution of trianglesonsider the triangle shown in the figure Let A 11 and B 3 in feet and the angle t A B Find the area of the triangle The angle involved is a special angle Give an exact answer Use symbolic notation and fractions where needed radians

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Statistics1 A histogram of the distribution of salaries of non administrative personnel of a company is given in the figure below 0 28 0 26 0 24 0 22 0 2 0 18 Relative 0 16 Frequency 0 14 0 12 0 1 0 08 0 06 0 04 0 02 0 0 20 21 22 23 24 25 26 27 28 29 30 Salary in Thousands of Dollars a What percent of the salaries are between 23 500 and 24 500 3 of overall salary b What percent of salaries exceed 26 500 15 c Assuming the histograms is based on 400 people construct the frequency distribution tha corresponds to this histogram

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Probability2 It is thought by some researchers that exercise for college students is related to the sex of the student A survey was taken of 470 college students in California that relates their sex to the frequency of exercise per week The results are summarized in the contingency table below Male Female Totals No exercise per week 0 3893 0 4723 0 4720 88 0 4357 72 160 Once or twice per week More than twice per week Totals 76 58 222 248 470 If one of the 470 college students is selected at random what is the probability that the student is a male given that the student exercises more than twice per week Round your answer to 4 decimal places None of the above 85 161 91 149

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Basic MathWhich statement is true about a dot plot O A A dot plot shows the median of a data set O B A dot plot shows the first quartile but not the second quartile of any given data set A dot plot shows the frequency of the individual values of any given data set A dot plot shows the frequency of an interval of values of any given data set A dot plot gives information about the average of any given data set O C O D OE

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Basic MathIf you work for an hourly wage your gross pay is a function of the number of hours that you work What is the independen variable What is the dependent variable a The independent variable is the gross pay The dependent variable is the hourly wage b The independent variable is the gross pay The dependent variable is the number of hours C The independent variable is the number of hours The dependent variable is the gross pay d The independent variable is the hourly wage The dependent variable is the gross pay

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Basic Mathn 6 ft 4 ft 9 ft Mr Rachuba has a trapezoidal shaped pool in his back yard see diagram above Unfortunately there is a large tree nearby that drops leaves into the pool One day Mr Rachuba counts 187 leaves floating on the surface of his pool What is the density of lea on his pool in leaves ft2 Round your answer to the nearest leaf ft

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Probability39 9 of consumers believe that cash will be obsolete in the next 20 years Assume that 6 consumers are randomly selected Find the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years The probability is Round to three decimal places as needed

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Basic Math0 of 1 A man bought a length of rope at the hardware store He used one third of it to make a bow painter a rope located at the front of the canoe for his canoe and then used one fourth of the remaining piece to tie up a roll of carpet He now has 30 feet of rope left What was the length of the rope he had originally purchased Since it is often helpful to visualize a problem obtain your answer pictorially by adding additional marks and labels to the following drawing Used for Painter feet of rope He had originally purchased Type an integer or a simplified fraction

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Basic MathYou have a coupon for an electronics store that allows you to deduct 50 when purchasing a new television Additionally the day you go shopping there is a 5 discount storewide If you are going to use the coupon you need to apply it to the television set price before applying the 5 discount If a television costs I dollars what expression represents what will you ultimately spond to purchase thotolovcion