Basic Math Questions and Answers

Multiply in the indicated base 358 x218 358 x 218

Suppose that 76 of students in a college have a smart phone If you select three students at random what is the probability that all three have a smart phone Give your answer as a decimal to at least 3 places or fraction

NOT true regarding the normal distribution Scores tend to cluster around the mean O Intelligence height and blood pressure naturally follow a normal distribution When creating a histogram the scores are plotted on the y axis and the frequency of each of the score is plotted on the x axis The further a score is from the mean the less likely it is to occur Next Worksheet

Suppose that 53 of people own dogs If you pick two people at random what is the probability that they both own a dog Give your answer as a decimal to at least 3 places or fraction

You roll a fair six sided die twice Find the probability of rolling a 1 the first time and a number greater than 3 the second time Question Help Video Mesrange insti

You draw one card from a standard deck a What is the probability that you do not select a diamond b What is the probability that you do not select a face card c What is the probability that you do not select an Ace d What is the probability that you do not select a Jack or a King Question Help Video 1 Video 2 Message instructor

44 40 49 d 2 Ne 4 off NO C 3 ve AND 2 Me HOD 04 4 2 A Heart or Club 1 A n 10 of Club s E Ay 4 12 2 4 2 4 52 As shown above a classic deck of cards is made up of 52 cards 26 are black 26 are red Each color is split into two suits of 13 cards each clubs and spades are black and hearts and diamonds are red Each suit is split into 13 individual cards Ace 2 10 Jack Queen and King If you select a card at random what is the probability of getting 4 3 A number smaller than 5 counting the ace as a 1 Question Help Message instructor

A bag of M M s has 7 red 4 green 6 blue and 5 yellow M M s What is the probability of randomly picking give answer as a reduced fraction 1 a yellow 2 a blue or green 3 an ange 4

A group of people were asked if they owned a dog 228 responded yes and 253 responded no Find the probability that if a person is chosen at random they own a dog 228 481 25 228 228 253

In a loan database there are 17 loans to clients with 13 years of business experience Also there are 68 loans made to clients with a Graduate education In the database there are 70 loans to clients with 13 years of experience or who have a Graduate education How many loans were made to clients with a Graduate education who also had 13 years of experience Answer loans

In the last several weeks 65 days saw rain and 66 days saw high winds In that same time period 118 days saw either rain or high winds How many days saw both rain and high winds Answer days

Suppose Albers Elementary School has 69 teachers and Bothel Elementary School has 86 teachers If the total number of teachers at Albers and Bothel combined is 149 how many teachers teach at both schools Answer teachers

Let the Universal set be the letters a through j U a b i j Let A d e h j B a e g j and C a d e i List the elements of the set An B UC

TABLE 9 sotopes Frequently used in Radiometric Dating Radioactive Parent Uranium 238 Uranium 235 Thorium 232 Rubidium 87 Potassium 40 1 3 billion years 500 million years 3 9 billion years 2 6 billion years Stable Daughter Product Lead 206 Lead 207 Lead 208 Strontium 87 Argon 40 Currently Accepted Half Life Values 4 5 billion years 704 million years 14 1 billion years 47 0 billion years 1 3 billion years

Suppose the country that produces shorts trades 18 million pairs of shorts to the other country in exchange for 54 million pounds of almonds In the following table select the amount of each good that each country exports and imports in the boxes across the row marked Trade Action and enter each country s final consumption of each good on the line marked Consumption When the two countries did not specialize the total production of shorts was 23 million pairs per week and the total production of almonds was 68 million pounds per week Because of specialization the total production of shorts has increased by million pairs per week and the total production of almonds has increased by million pounds per week Because the two countries produce more shorts and more almonds under specialization each country is able to gain from trade Calculate the gains from trade that is the amount by which each country has increased its consumption of each good relative to the first row of the table In the following table enter this difference in the boxes across the last row marked Increase in Consumption Without Trade Production Consumption With Trade Production Trade action Consumption Gains from Trade Shorts Millions of pairs 8 Yosemite 8 Almonds Millions of pounds 48 48 Shorts Millions of pairs 15 Everglades 15 Almonds Millions of pounds 20 20

Suppose there exist two imaginary countries Yosemite and Everglades Their labor forces are each capable of supplying four million hours per week that can be used to produce shorts almonds or some combination of the two The following table shows the amount of shorts or almonds that can be produced by one hour of labor Country Yosemite Everglades Shorts Almonds Pairs per hour of labor Pounds per hour of labor 8 16 5 20 Suppose that initially Yosemite uses 1 million hours of labor per week to produce shorts and 3 million hours per week to produce almonds while Everglades uses 3 million hours of labor per week to produce shorts and 1 million hours per week to produce almonds As a result Yosemite produces 8 million pairs of shorts and 48 million pounds of almonds and Everglades produces 15 million pairs of shorts and 20 million pounds of almonds Assume there are no other countries willing to engage in trade so in the absence of trade between these two countries each country consumes the amount of shorts and almonds it produces Yosemite s opportunity cost of producing 1 pair of shorts is shorts is of almonds Therefore of almonds and Everglades s opportunity cost of producing 1 pair of has a comparative advantage in the production of shorts and has a comparative advantage in the production of almonds Suppose that each country completely specializes in the production of the good in which it has a comparative advantage producing only that good In this case the country that produces shorts will produce million pairs per week and the country that produces almonds will produce million pounds per week In the following table enter each country s production decision on the third row of the table marked Production Suppose the country that produces shorts trades 18 million pairs of shorts to the other country in exchange for 54 million pounds of almonds In the following table select the amount of each good th

3 What is the area of Triangle A 6 m T12m TRIANGLE A 4 What is the length of the hypotenuse of Triangle A 5 What is the area of Triangle B 3 5 T 20 5 TRIANGLE B of Triangle R2

nd the measure or OI R 15 Q 16 S

Karen White helped organize a charity fund to help cover the medical expenses of her friend Vicky Hill who was seriously injured in a bicycle accident The fund was named the Vicky Hill Recovery Fund VHRF Karen contributed 1 000 of her own money to the fund The 1 000 was paid to WKUX a local radio station that designed and played an advertising campaign to educate the public about Vicky s predicament The campaign resulted in the collection of 11 000 cash and VHRF paid 8 700 to Mercy Hospital to cover Vicky s outstanding hospital cost The remaining 2 300 was donated to the National Cyclist Fund Required Identify the entities mentioned in the scenario and explain what happened to the cash accounts of each entity you identify Entities Mentioned Vicky Hill Recovery Fund Karen White WKUX Public Mercy Hospital National Cyclist Fund Effect On Cash for cash contributions 12 000 for payment of advertising 1 000 payment for hospital bills 8 700 for donation to National Cyclist Fund 2 300 by contribution 1 000 for advertising revenue 1 000 for contributions 11 000 for medical care 8 700 for donation 2 300

As of December 31 Year 1 Moss Company had total cash of 159 000 notes payable of 85 900 and common stock of 52 700 During Year 2 Moss earned 39 000 of cash revenue paid 21 500 for cash expenses and paid a 3 300 cash dividend to the stockholders Required a Determine the amount of retained earnings as of December 31 Year 1 b c Create an accounting equation and record the beginning account balances revenue expense and dividend events under the appropriate elements of the accounting equation d Complete the equality of the accounting equation as of December 31 Year 2 Complete this question by entering your answers in the tabs below Req A Req B and C Req D Determine the amount of retained earnings as of December 31 Year 1

Bledsoe Company acquired 33 000 cash by Issuing common stock on January 1 Year 1 During Year 1 Bledsoe earned 10 300 of revenue on account The company collected 9 600 cash from customers in partial settlement of its accounts receivable and paid 7 200 cash for operating expenses Based on this Information alone what was the Impact total assets during Year 1 Multiple Choice O O O Total assets Increased by 2 400 Total assets did not change Total assets Increased by 45 700 Total assets Increased by 36 100

Question 9 2 points Saved In mediation the mediator acts as a n Judge Attorney Messenger Expert witness Question 10 2 points Saved One of the motions that can be made after a verdict has been entered is a motion for a Mistrial O summary judgment directed verdict

Which principle of relative dating does A represent in diagram 1 SLAZENE MASNE PEM SERRANAT D JANUALE Sammen med Je PM ME PONENTE HANAN TETANGGAE HET TRAMAN NA ME TENER FAT ME TE MARRIE San CELE Manden van ZEELANGE MANDET MAHONETTE DES DE P TRENE PROMENADE FRONDOA WE PS SPP EMRE MINEERM DE PADDLEE KE MANA LE TIME WHEN THE E KIM TERENGDE JINIKUMINE A MODEL TEINEN PERKEMBEERE DE DE SANT PE DE S BETEEN TEYZETENSNEDSZ 300 DE ZARARANDRAS S PA JE BE EMPANADE D TETAPI THIMIN RUHEN HINH ZA POM ZAKE HENE SHE PRE PREKOMME ME PRE 235 E VE F IMA Sa 2000 menn Penandakan KANAK BENIDOnion 11 D SIN NIIN TE E DRAME E LENSEREN ONOCIONI SEE POR E g E DE MARIANNE TEL EN METEENPNINE C SINUS PER A MI Bakan kakan peng MENDIMENT INSTI I

Jan 31 12 30 30 06 Watch help video Given f x 3x 5 find 2

Watch help video Find the y coordinate of the y intercept of the polynomial function defined below f x 5 3x 9x 2x 6x

Fill in the missing values below one at a time to find the quotient when x 6x 4x 24 is divided by x 6 x X 6 x x 6x 6x 4x 24 x 6 0 4 4x 24

A group of researchers are working to determine the historic sea levels of the body of water They are attempting to do this by taking samples around the body of water and in a nearby cave and after analyzing sediment cores from around the body of water to those in the cave The Climatologist that is working in the cave is trying to determine the age and growth rate of stalactites to get a more accurate picture of the age of the existing stalactites The following table contains the estimated age to the nearest hundred of the sample and the length of the sample in centimeters Find a linear model that express length as a function of the age Round your answers to 2 decimal places Age nearest hundred 1 3 8 Length 14 17 18 19 Centimeters 91 91 275 86 736 1287 03 1563 22 1654 76 1746 69 where x is the age in hundreds of years

Use the regression capabilities of a graphing calculator to find the equation for the line of best fit for the following points Round decimals off to the nearest hundredth X 1 y y 9 2 8 3 8 4 5 5 6 7 w 6 4 2 Note y is already written fill in the right side of the equation only

The table below shows the number of state registered automatic weapons and the murder rate for several Northwestern states where is thousands of automatic weapons and y is murders per 100 000 residents I Y 7 3 5 2 8 2 3 2 2 0 9 11 4 8 3 13 6 11 2 10 3 7 6 4 6 2 5 9 4 6 Use your calculator to determine the equation of the regression line and write it in the y ax b form Round to 2 decimal places According to this model how many murders per 100 000 residents can be expected in a state with 2 9 thousand automatic weapons Round to 3 decimal places According to this model how many murders per 100 000 residents can be expected in a state with 5 9 thousand automatic weapons Round to 3 decimal places

6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 data Based on the boxplot above identify the 5 number summary 3 3

A sample was done collecting the data below Calculate the standard deviation to one decimal place X 3 22 20 16 28

What is the b value of the quadratic equation below y 3x x 2 03 0 1 O 3 01

When solving a quadratic equation under what circumstances would the result be two answers that are imaginary numbers O When the discriminant is negative When the discriminant is positive Next O When the discriminant is equal to zero Report an Error question 5 of 5 O None of the answers are correct the results of a quadratic equation will never yield an answer with two imaginary numbers

Polynomial Division Box Method Level 1 Jan 30 6 36 23 PM Fill in the missing values below one at a time to find the quotient when x 6x 4x 24 is divided by x 6 X 6 x

Synthetic Division Level 1 Jan 30 6 18 16 PM Watch help video Use synthetic division to find the result when 2x 8x 19x 30 is divided by x 6

Translate Report an EPPOP question 2 of 5 Three chocolate bars and six chocolate bars combined is how many chocolate bars 06 3 x 3 6 x 3 6 Y O 3 6 x 3 6 Y

Synthetic Division Lev Jan 30 6 06 44 PM Watch help video Use synthetic division to find the result when x 7x 28x 6 is divided by x 3

Decide whether the statement is true or false 2 E 1 2 3 4 5 O True O False

MY NOTES Perform the given set operation Let U 1 2 3 4 5 6 7 8 9 10 Enter your answers as a comma separated list Enter EMPTY for the empty set 1 3 6 U 3 6 10

Need Help 15 3 84 Points b Read It c DETAILS Perform the given set operation Let U 1 2 3 4 5 6 7 8 9 10 Enter your answers as a comma separated list Enter EMPTY for the empty set a 2 3 4 n 5 6 2 3 4 U 5 6 SMITHNM13 2 2 010 2 3 4 5 6 MY NOTES ASK YOUR

How many subsets does the set F 2 3 4 5 6 have subsets

Specify the set by description 10 20 30 110 O multiples of 10 between 0 and 110 O multiples of 10 between 10 and 120 between 0 and 120 O multiples of 10 O multiples of 10 between 10 and 110 O multiples of 10 greater than 0

Tell whether the set is well defined The set of students attending the University of California O This set is well defined O This set is not well defined

5 Apply Math Models Hanna and Dien are both getting a raise Who will earn more per hour after the raise Hanna Dien Hours Worked Earnings 78 00 60 60 8 6 a How can you use unit prices to find Hanna s and Dien s new earnings per hour Explain Raise per hour 1 00 0 50 b Solve the problem

Beginning Month Work in Process January March July Company has the following production data for selected months January March July 0 0 0 Units Transferred Out Materials Ending Work in Process Units 39 300 13 600 45 000 8 800 48 800 17 600 Complete as to Conversion Cost Compute equivalent units of production for materials and conversion costs assuming materials are entered at the beginning of the process 44 Conversion Costs 71 21

Use the quadratic formula to find the roots of the quadratic equation x 2x 3 Ox 2 Ox 2 or x 2 Next 3 O x 3 or x 1 x 3 or x 1 question 5 of 5

When it comes to solving quadratics with complex solutions which one of the following statements is FALSE O If the discriminant is zero the result will be one real O If the discriminant is negative the result will be two answer complex solutions O If the discriminant is zero the result will be no real answers O S Report an Error question 3 of 5 O If the discriminant is positive the result will be two real answers O

What is the most simplified form of the expression below 49 Oi 49 0 49 07 07i

The bar graph below shows the percentage of students who received each letter grade on their last English paper The class contains 20 students 30 25 20 15 10 5 A B C Grades D What number of students earned a A on their paper students

A political scientist surveys 38 of the current 139 representatives in a state s legislature What is the size of the sample What is the size of the population