Basic Math Questions and Answers

Create an expression that represents three times as much as an unknown number

B Which expression represents 9 Tess than an unknown number n 9

3 Danica has a dollars Gregg has 3 times the amoun Danica has Which expression represents the amount of money Gregg has O 3 x x 3

EIGHT CHILDREN PARTICIPATE IN A TALENT CONTEST FOUR DIFFERENT PRIZES ARE AWARDED TO THE WINNER AND THE FIRST SECOND AND THIRD RUNNER UPS IN HOW MANY DIFFERENT WAYS CAN THE FOUR PRIZES BE AWARDED a b e 1 680 840 70 32 420

4 POINTS 26 IN ONE REGION 40 OF ALL RESIDENTIAL TELEPHONE NUMBERS ARE UNLISTED IF 5 RESIDENTIAL HOUSING UNITS ARE RANDOMLY SELECTED FIND THE PROBABILITY THAT ALL OF THEM HAVE UNLISTED NUMBERS

3 POINTS 25 A COMPUTER OPERATOR MUST SELECT 4 JOBS FROM AMONG 10 AVAILABLE JOE WAITING TO BE COMPLETED HOW MANY DIFFERENT ARRANGEMENTS ARE POSSIBLE

WHAT IS THE MEDIAN OF THE DATA IN THE FOLLOWING SAMPLE 7 7 4 6 7 4 7 6 2 a b c d e 7 6 6 5 5 5 CAN T BE DETERMINED FROM THE SAMPLE

ONE CARD IS SELECTED AT RANDOM FROM A STANDARD 52 CARD DECK OF PLAYING CARDS FIND THE PROBABILITY OF OBTAINING A PICTURE CARD OR A CLUB a 7 13 11 13 25 25 11 26 8 13

THE RESULTS OF A STATISTICS EXAMINATION ARE NORMALLY DISTRIBUTED WITH A MEAN OF 74 AND A STANDARD DEVIATION OF 8 FIND THE PERCENTAGE OF INDIVIDUALS THAT SCORED LESS THAN 78 a b c d 19 2 692 19 2 69 2

FOR QUESTIONS 18 AND 19 THE LIFETIME OF A SPECIFIC BRAND OF ALKALINE BATTERY USED IN A SMOKE ALARM IS NORMALLY DISTRIBUTED WITH A MEAN OF 4 000 HOURS AND A STANDARD DEVIATION OF 600 HOURS 18 FIND THE PERCENTAGE OF BATTERIES THAT WILL LAST BETWEEN 4 120 AND 4 720 HOURS b a b 60 30 6 46 4 19 4 6 e 19 IF 500 000 BATTERIES ARE PRODUCED HOW MANY WILL LAST AT LEAST 4 600 HOURS c d e Son 420 500 170 500 79 500 410 000 430 000

USE THE Z TABLE TO FIND THE AREA TO THE LEFT OF z 2 09 a b c d e 0 018 0 418 0 241 0 982 0 482

A NORMAL DISTRIBUTION HAS A MEAN OF 80 AND A STANDARD DEVIATION OF 8 FIND THE Zz SCORE FOR 70 a b c e 1 5 1 4 1 8 1 25 1 2

FIND THE MEAN MEDIAN MODE AND MIDRANGE OF THE FOLLOWING SET OF DATA 17 11 15 17 12 22 15 10 a MEAN 14 875 MEDIAN 15 MODE 17 MIDRANGE 15 MEAN 14 5 MEDIAN 15 MODE 16 MIDRANGE 16 b c MEAN 14 875 MEDIAN 15 MODE THERE IS NO MODE MIDRANGE 16 MEAN 13 5 MEDIAN 16 MODE 15 MIDRANGE 16 d e MEAN 13 875 MEDIAN 15 MODE THERE IS NO MODE MIDRANGE 16

AN ENGLISH EXAM CONSISTS OF TEN ESSAY QUESTIONS IF A STUDENT MUST CHOOSE FOUR OF THE TEN QUESTIONS HOW MANY DIFFERENT SETS OF FOUR QUESTIONS ARE POSSIBLE a b c d e 240 105 420 40 210 TROVED ANALY FIND THE MEAN MEDIAN MORE AND MIDRANGE OF THE FOLLOWING SET OF D

THE LUNCH MENU AT MS KELLY S RESTAURANT OFFERS FIVE ENTREES FOUR SALADS AND THREE DESSERTS IF RICK ALWAYS ORDERS ONE OF EACH HOW MANY DAYS CAN HE EAT LUNCH AT THE RESTAURANT WITHOUT REPEATING A MEAL a b d e 30 15 20 60 12

TWO CARDS ARE SELECTED AT RANDOM FROM A STANDARD 52 CARD DECK OF PLAYING CARDS IF THIS IS DONE WITHOUT REPLACEMENT FIND THE PROBABILITY OF DRAWING TWO ACES a b c d e 1 169 1 221 4 663 3 676 1 325 HOW MANY DIFFERENT FOUR DIGIT NUMBERS CAN BE FORMED FROM THE DIGITS 0 THROUGH 9 IF THE FIRST DIGIT MUST BE EVEN AND CANNOT BE ZERO a 10 000

THERE ARE THREE HIGHWAYS FROM WINSTON TO HAMLIN FOUR HIGHWAYS FROM HAMLIN TO GREENVILLE THREE HIGHWAYS FROM GREENVILLE TO OCEAN CITY DETERMINE THE NUMBER OF ROUTES FROM WINSTON TO OCEAN CITY a b c d e 24 3 12 72 36

A COMPACT DISK PLAYER IS BEING RAFFLED OFF AND 150 TICKETS ARE SOLD IF JOYCE BOUGHT A TICKET WHAT ARE THE ODDS IN FAVOR OF HER WINNING THE COMPACT DISK PLAYER a c d 1 149 1 150 1 99 1 75

A BOX OF CHOCOLATES CONTAINS 20 IDENTICALLY SHAPED CHOCOLATES FIVE OF THEM ARE FILLED WITH JELLY THREE ARE FILLED WITH CARAMEL AND TWELEVE ARE FILLED WITH NUTS WHAT IS THE PROBABILITY THAT ONE CHOCOLATE CHOSEN AT RANDOM IS FILLED WITH JELLY CARAMEL OR NUTS c d e 1 3 5 14 3 20 0

A SURVEY SHOWED THAT 442 PEOPLE OUT OF A TOTAL OF 520 ATE BREAKFAST EACH MORNING WHAT PERCENTAGE OF PEOPLE ATE BREAKFAST EACH MORNING a b c d 79 85 15 118 ECTED CAIN 44 2

POINTS EVALUATE THE FOLLOWING a b nPn 92 89 c nCn d nPo COLATES CONT ILLED WITH JE

If p is false q is true and r is true find the truth value of the statement pv q v r www Select the truth value of p v q v r when p is false q is true and r is true Choose the correct answer belc False True

Determine the truth value of the statement p v q r using the following conditions a p is false q is false and r is false b p is false q is true and r is true a If p is false q is false and r is false what is the value of p v q r O False O True b If p is false q is true and r is true what is the value of pv q r True False

Let U colleges in the United States A colleges in the United States that have the word Junior in their name and B colleges in the United States that have the name of a president in their name Describe the set in words ANB AnB is the set of colleges in the United States that in their name A do not have the word Junior OB have the word Junior or have the name of a president or both OC have the word Junior and have the name of a president O D do not have the word Junior and do not have the name of a president

e probability is pe an integer or a simplified fraction

James earns 9 per hour working at the bank Write and solve an inequality that can be used to find out how many hours he must work to earn at least 144 next week

Problem 1 Simplify the following expression Write your answer using radicals only a 25 2 1 6X 2

Use the indicated row operations to change the matrix Replace R by 3 R R 1 2 2 3 7 4 1 3 4 2 2 The row operation 3 R R results in

Let A 05 97 Find 4A 2B 4A 2B and B 6 3 3 2

K Find the size of the matrix Determine if it is a square column or row matrix 221 512 The matrix is x

Which one of these choices is NOT equivalent to the others x 4x4x4x4 4 x 43 4 4 4 4 4

You downloaded 3 songs each day for 3 days Each song is 3 minutes long Which expression shows the number of minutes of music that you downloaded 3

211 x 43 Which expression is NOT equalent to the others 21 x 21 x 43 43 21 21 43 213 43

Which choice shows the expression x 6x 8 in factored form 2 x 4 x 8 x 1 x 4 x 2 x 1 x 7

What are the solutions to the equation x2 x 12 0 3 and x 4 x 3 and a 4 x 1 and x 12 x 1 and x 12

In the U S adult population the distribution of BMI values body mass index are clearly right skewed Which of the following distributions can we nonetheless consider to be approximately Normal There may be one or more What is your reasoning no answer required here The sampling distribution of mean BMI for random samples of 9 adults The sampling distribution of mean BMI for random samples of 60 adults The sample distribution of BMI values in a random sample of 500 adults

3 x 3 0 Solve to find the zero s of the following quadratic equation 7x 42x 63 0 x 0 x 63 x 3

10 points Save Ans Anthony s Bakery wants to know which dessert is the most popular during the summer season He surveyed 246 customers and the results are displayed below About how many customers enjoy cakes About how many customers enjoy cookies Show your work Types of Dessert 8 9 16 3 13 8 22 8 28 5 9 8 Cakes Brownies Cupcakes Cheescakes Pies Cookies

What vocabulary term describes an observation point that is distant from other observations

1 For Pam the probability of getting diabetes event A is 0 35 and the probability of having thyroid problems event B is 0 28 The probability of getting both is 0 098 Are events A and B dependent or independent Show your work

10 points Save Ans Lucida participates in multiple exercise activities through the month If she chooses 1 activity per day in the month of May 31 days about how many days did she walk About how many days did she weights Show your work Types of Exercise 38 9 22 2 27 8 11 1 Walking Running Weights Yoga

16x 25 OS b x 16x 25 Use the drop down menus to factor the expression and find the zeros of b x

Describe and correct the error in finding the quartiles of the given data set 23 16 12 20 19 24 15 Median 20 Lower Quartile 16 Upper Quartile 24 X For the toolbar press ALT F10 PC or ALT FN F10 Mac

Solve to find the zero s of the following quadratic equation 52 5 0 1 x 1 x 0 x 5 x 5 x 5

Explain which rules of inference are used for each step in the argument below All movies produced by John Sayles are wonderful John Sayles produced a movie about coal miners Therefore there is a wonderful movie about coal miner Show your work on paper then take a picture scan it and then upload your file here Attach File

Which choice shows the expresion 12x2 14x 6 in factored form 3x 1 2x 3 4x 7 2x 2 2 3x 3 2x 1 4x 2 3x 3

when The zeros of a function are the values of a for which the function is equal to zero Enter a number in each blank to make true statements about the function g x x 4 x 7 and when ph of g intercepts the x axis at x and x

Explain what s wrong with the following argument A convertible car is fun to drive Isaac s car is not a convertible Therefore Isaac s car is not fun to drive For the toolbar press ALT F10 PC or ALT FN 51000

Steps below show that the premises Linda a student in this class owns a red convertible and Everyone who owns a red convertible has gotten at least one speeding ticket imply conclusion Someone in this class has gotten a speeding ticket Fill in the blanks Let R x x owns a red convertible S x x has gotten at least one speeding ticket and C x x is a student in our class where the domain of x consists of al people in the world Premises in logical form therefore will be C linda C Linda AR Linda and Vx R x S x 1 Vx R x S x 2 R Linda S Linda 3 C Linda AR Linda Premise 4 C Linda 5 R Linda 6 S Linda Modus ponens from and 5 7 C Linda AS Linda from 4 and 6 from 8 3x C x AS x Existential Step 8 expressed in words is Therefore someone in the class has gotten at least one speeding ticket from 3 from 3 instantiation from 1

Each of these equations repents the same function written in different forms Standard Form f x x 2x 15 Factored Form f x x 3 x 5 Vertex Form f x x 1 16 The zeros of a function are the values of a for which the function is equal to zero Which form of the equation makes it easiest to see the zeros of the function x 2x 15 because the constant term ws the zero of the function x x 1 16 because you can see when the quared expression is equal to zero O CLEAR f x x 3 x 5 because you can see wher each factor is equal to zero None of these forms because you can only see the zer of a function by graphing it