Basic Math Questions and Answers

What term describes the extent to which data points in a statistical distribution or data set diverge from the average mean value as well as the extent to which these data points differ from each other

How much would these people have made in interest if the interest rate was 6 instead of 5 60 600 6 000

Two vertices of a right triangle have coordinates 6 2 and 1 6 Select each ordered pair that could be the coordinates of the third vertex Q 1 2 2 1 6 6 1 1

Biased statistics can result from a variety of problems during the data collection process What term is used when the responders lie or the responder seems to have a faulty memory

take now to achieve that dream What are the steps that you need to do in order to achieve this dream Also think about the potential cost of the curre steps You might need to do some research of classes or costs of resources in the area that will help you achieve that dream Dream for the Future Example 2 3 1 I want to be a musician Current Activity How to Get There 1 Buy a guitar 2 Take guitar lessons 3 Practice daily 4 Learn to write music 5 Take music classes 6 Play coffee shops when available Current Activity How Many Months will this take to purchase or complete 1 300 3 months savings 2 Guitar lessons 100 session for 3 months 3 Watch YouTube videos to help write music free but will take up to 6 months 4 Music classes for 1 semester 900 Monthly Cost how much are you saving a month to achieve this dream I want to save 100 200 a month to go towards music This will help pay for lessons and items I need to play guitar

O statistical bias undercoverage O placebo effect Oresponse bias QUESTION 2 What term describes the extent to which data points in a statistical distribution or data set diverge from the average mean value as well as the extent to which these data points differ from each other QUESTION 3 Sam has conducted a survey to get more information about healthy diets He hands his survey out to 100 people in the cafeteria at his college Only 45 people choose to participate in the survey leaving 55 people that did not respond WIT type of bias does this scenario best describe Response bias Nonresponse bias Observer effect Placebo bias statistic is known as what QUESTION 4 Compare the two tutorial group sizes Which semester had a higher variability Figure 1 Comparison of tutorial group sizes sdoo jo s 11454 Semester 1 Semester 2

Question 8 7 3 15 BE Part 1 of 2 HW Score 72 59 6 53 of 9 points O Points 0 of 1 company is considering two insurance plans with werage and premiums shown in the table For ample this means that 50 buys one unit of plan A nsisting of 10 000 fire and theft insurance 180 000 of liability insurance Answer parts a db Fire Theft Liability Premium Policy A 10 000 180 000 50 The company needs at least 150 000 fire and theft insurance and at least 2 400 bility from these plans How many units should be purchased from each plan to imize cost of the premiums What is the minimum premium e company should purchase units of Policy A and units of Policy B for a

x 9 10 Pts Evaluate the integral S dydx by first reversing the order of integration You must draw a clear and carefully labelled plot of the region of integration R V y5 1

Becky wants to paint the walls in her bedroom A gallon of paint will cover 400 ft She measures the surface to be painted it 76 320 in How many gallons of paint should she buy

olve the inequality 2x 9 12 Express the solution both as a graph and in interval notation

Decide whether the scenarios below would be skewed left right or normal a The heights of students in elementary school b The amount of time it takes to complete an extremely easy test c The grades on a very difficult test d The grades on an extremely easy test

O Bivariate and Quantitative O Bivariate and Categorical Univariate and Quantitative O Univariate and Categorical QUESTION 4 An insurance company tracked the number of weekly Hard Breaking incidents in its car drivers Estimate the average number of weekly incidents Show your work 80 70 Frequency 40 30 20 10 testing a new medication to prevent seizures They collected data on a person s weight and the amount of medication in his her bloodstream What type of data was collected 0 1 2 4 11BT 16 For the toolbar press ALT F10 PC or ALT FN F10 Mac BIUS Paragraph M Arial Y 10pt EEA 2 IX X X 88

You test 300 electric hand warmers and find that 9 of them are defective Predict the number of defective hand warmers in a shipment of 8000 electric hand warmers defective hand warmers

Sarah wants to buy a new queen sized mattress She only has an area that measures 5 ft x 6 ft to put the mattress in The mattress size is 55 in x 60 in Will the mattress fit Convert the measurements to feet to determine this Round your answers to two decimal places if necessary

Find an equation in point slope y y m x x for the line through the given points 3 4 and 2 1 What is the equation of the line in point slope form Use integers or simplified fractions for any numbers in the equation

The coffee Jim likes is composed of 98 5 water and 1 5 cocoa The coffee John likes is composed of 97 water and 3 cocoa How many ounces of water x should be added to 20 ounces of coffee that John likes to make the coffee that Jim likes

17 29 32 9 30 14 8 39 11 32 23 Minimum First Quartile Second Quartile Third Quartile Maximum QUESTION 10 data Which plot does not display all of the value of the data OBox and Whisker plot

a The salaries of NFL players b The sizes of women s shoes c The number of children in a family d The mileage on a used car QUESTION 2 el the scenarios below would be skewed left right or normal The histogram below shows the average weekday wait time for a roller coaster at Six Flags Calculate the mean of the data Show you Frequency 7 6 3210 16 18 20 22 24 26 28 30 32

Write a rational function f x such that f has a slant asymptote and x intercepts at 1 and 4 For the toolbar press ALT F10 PC or ALT FN F10 Mac

After specialization suppose that Rob and Big trade with one another and Rob sends Big 97 cows In order for both Rob and Big to benefit from trade what is the least quantity of pigs that Big must send Rob Round your answer to two decimal places 100 correct pigs order for both Rob and Big to benefit from trade what is the greatest quantity of pigs that Big must send Rob Round your nswer to two decimal places

state agency recorded the number of each type of flood that occurred in the state from 2016 020 The results are as follows Flood Type Flash River Coastal Dam Levee Failure Frequency 18 6 4 2 If similar proportions of flood types are predicted for the following year what is the estimated probability that a flood in 2021 in that state will be a river flood Round your answer to the nearest percent

POINTS VOLUME OF A FREEZER THE DIMENSIONS OF THE INTERIOR OF AN UPRIGHT FREEZER ARE HEIGHT 46 IN WIDTH 25 IN AND DEPTH 25 IN DETERMINE THE VOLUME OF THE FREEZER a IN CUBIC INCHES

Find all the complex roots Write the answer in exponential form The complex cube roots of 9 9i 1 3 The complex cube roots are Simplify your answers Type exact answers using as needed Type any angle measures in radians Use angle measures greater than or equal to 0 and le 2 Use integers or fractions for any numbers in the expression Use a comma to separate answers as needed

Suppose the price of a Big Mac is 4 dollars in the United States U S and 596 forints in Hungary The actual exchang between the U S and Hungary is 227 forints for 1 U S dollar Using the theory of purchasing power parity find the implied exchange rate between the U S and Hungary 159 15 mcorrect This implies that the Hungarian forint is undervalued V when compared to the U S Dollar Hungarian fo

udents are about to ake a 0 25 0 5 probability 0 25 Really Pass Barely Pass Fail lasses are represented 0 2 0 8 0 6 0 4 0 9 0 1 Do retake ee diagram Not do retake Do retake Not do retake Do retake Not do retake f 500 people take the test how many will students will Really Pass the test and NOT attempting the retake Round to the nearest whole person

Assume that Papau New Guinea has a domestic investment of 1500 billion private domestic savings of 3000 billion and a government deficit of 2000 billion Based on the national saving and investment identity what is Papau New Guinea s trade deficit if government spending rises by 1000 billion Enter your answer in billions of dollars trade deficit 500 Incorrect billion

4 POINTS 8 ANCHORING A RADIO SIGNAL TOWER A 100 FT RADIO SIGNAL TOWER IS BEING CONSTRUCTED TO STEADY THE TOWER GUY WIRES ARE ATTACHED TO THE TOWER ONE END OF THE HIGHEST GUY WIRE IS ATTACHED TO THE TOWER AT A POINT OF 90 FT ABOVE THE GROUND SEE FIGURE THE OTHER END IS ANCHORED INTO THE GROUND AT A POINT 52 FT FROM THE BASE OF THE TOWER HOW LONG IS THIS GUY WIRE 90 fi 52 ft

se the information on the hypothetical economy E Mudville to answer the questions alculate private investment spending in 2012 and 2013 4 012 Government spending Private savings Incorrect Exports Imports Taxes million 2013 2012 in millions 45 79 17 13 31 Incorrect Attempt 2 2013 in millions 65 79 17 13 31 million in private investment spending in

Macmillan Learning Suppose that Paulie and Vinny each can produce ice cream or t shirts The table shows the quantity of each good that Paulie and Vinny each can produce in 1 hour respectively if they devote all of their time and effort into making the good Round all answers to two decimal places Paulie Vinny Ice cream cups 2 00 9 00 T shirts quantity 17 00 11 00 a What is Paulie s opportunity cost of producing a cup of ice cream b What is Vinny s opportunity cost of producing a t shirt Paulie s opportunity cost Vinny s opportunity cost 8 5 09 t shirts cups of ice cream

6 POINTS 31 FIND EACH OF THE FOLLOING USING A 7 HOUR CLOCK a b 5 4 c 3 6 2 6

Graph the solution of the system of inequalities x 2y s 24 x y 15 2x y 25 x 0 y 20 No Solution 3 67 64 51 46 45 42 39 36 33 30 27 24 21 18 15 12 9 6 3 3 6 9 12 15 18 21 24 27 30 33 36 39 42 45 48 51 54 57 Fill Graph Layers After you add an object to the graph can use Graph Layers to view and ec properties

Find a symmetric 3 x 3 matrix with eigenvalues A A2 and 13 and corresponding orthogonal eigenvectors V V and V3 D 2 2 A 3 A3 4 V

PRODUCT RELIABILITY THE TREAD LIVES OF THE SUPERTITAN TIRES UNDER NORMAL DRIVING CONDITIONS ARE NORMALLY DISTRIBUTED WITH A MEAN OF 40 000 MILES AND A STANDARD DEVIATION OF 2000 MILES a b WHAT IS THE PROBABILITY THAT A TIRE SELECTED AT RANDOM WILL HAVE A TREAD LIFE OF MORE THAN 35 000 MILES IF FOUR NEW TIRES ARE INSTALLED IN A CAR AND THEY EXPERIENCE EVEN WEAR DETERMINE THE PROBABILITY THAT ALL FOUR TIRES STILL HAVE USEFUL TREAD LIVES AFTER 35 000 MILES OF DRIVING

2 THE RESULTS OF A CONSTRUCT OF 1 a b c d e A FREQUENCY DISTRIBUTION LETTING EACH CLASS HAVE A WIDTH 0 1 1 SCORES 0 1 2 SCORES 0 1 2 1 2 SCORES 0 1 2 1 3 5 1 5 2 3 3 4 5 2 3 3 4 5 SCORES 0 1 2 SCORES 0 2 3 2 3 3 4 5 5 3 2 3 3 2 3 2 3 4 FREQUENCY 1 4 7 FREQUENCY 6 4 13 FREQUENCY 1 4 9 FREQUENCY 1 4 5 FREQUENCY 6 4 11 SCORES FREQUENCY 3 13 4 5 SCORES 3 4 5 SCORES 3 4 5 SCORES 3 4 5 SCORES 3 4 5 4 6 FREQUENCY 7 4 1 FREQUENCY 11 4 6 FREQUENCY 15 4 6 FREQUENCY 9 4 1

2 FIND THE STANDARD DEVIATION OF THE FOLLOWING SET OF DATA 10 26 84 48 250 56 a SOOO 92 3 240 87 6 79 76 8

Find a spectral decomposition of the matrix T 119191 A 1 5 5 1 larger value

POINTS O USE THE INVERSE OF A MATRIX TO SOLVE THE FOLLOWING SYSTEM OF EQUATIONS 3x 4y 11 2x 3y 4

A PAPER BAG CONTAINS THREE 1 BILLS TWO 5 BILLS SIX 10 BILLS AND ONE 20 BILL LEONARD MAY SELECT AND KEEP ONE BILL FROM THE BAG FIND LEONARD S EXPECTED GAIN a b c d e 5 50 7 75 8 25 6 00 4 80

Consider the following A Find all eigenvalues of the matrix A 2 Give bases for each of the corresponding eigenspaces smaller value span larger value span Orthogonally diagonalize the matrix by finding an orthogonal matrix Q and a diagonal matrix D such that QTAQ D Enter each matrix in the form row 1 row 2 where ea separated list D Q

WHAT FIELD OF STUDY IS CONCERNED WITH DRAWING CONCLUSIONS ABOUT WHAT THE POSSIBLE OUTCOMES MAY BE THROUGH OBSERVATIONS OF ONLY FEW PARTICULAR EVENTS a PROBABILITY b LOGIC

3 POINTS 39 FIND THE SHADED VOLUME OF THE FOLLOWING my 3 m 5 m

3 POINTS 37 FIND THE SHADED AREA OF THE FOLLOWING 20 in 4 in 9 in

E INVERSE OF A MATRIX TO SOLVE THE FOLLO 28 4 POINTS HOW MANY 7 DIGIT TELEPHONE NUMBERS ARE POSSIBLE IF THE FIRST DIGIT CANNOT BE ZERO AND THE NUMBER MUST BE A MULTIPLE OF 100

POINTS ONE SQUARE METER EQUALS 10 000 CM SQUARED USE THIS INFORMATION TO CONVERT THE FOLLOWING

3 POINTS 35 ONE SQUARE YARD EQUALS 9 FT SQUARED USE THIS INFORMATION TO CONVERT THE FOLLOWING 14 7 yd TO SQUARE FEET

S POINTS 2 FIND THE INVERSE OF THE FOLLOWING MATRIX 2 1 1 2

4 POINTS 30 MULTIPLY THE FOLLOWING MATRICES 2 5 3 6 2 4 1 68 0

29 FIND THE TOTAL AREA UNDER THE CURVE FOR THE FOLLOWING a TO THE LEFT OF z 2 26 b c TO THE RIGHT OF z 1 82 BETWEEN Zz 1 35 AND z 37

OINTS A QUESTION ON A PROFICIENCY TEST IS MULTIPLE CHOICE WITH FOUR POSSIBLE ANSWERS ONE OF WHICH IS CORRECT ASSUMING THAT ALL RESPONSES ARE RANDOM GUESSES FIND THE PROBABILITY THAT AMONG 12 TEST SUBJECTS EXACTLY FIVE ANSER THE QUESTION CORRECTLY

P QUESTION 8 The graph of which function has a hole x 1 x 2 f x x 3 O f x x 1 x 2 x 2