Basic Math Questions and Answers

4 Determine if U 0 1 0 and V 1 2 0 are parallel othogonal or neither

Find the distance between U 0 1 2 and V 1 4 1

2 Find the cross product UXV for U 1 3 4 V 2 7 5

Suppose the probability of an event is 0 60 What are the odds in favor of this event

Suppose the probability of an event is 0 80 What are the odds in favor of this event

An B AUB An B A AUB Need Help Submit Answer U Read It B

Find the sum of the first 18 odd positive integers

Perform the given set operation x x is a positive integer n x x is a negative integer Z Oxlx is a rational number 0 N nta ay

On August 8 1981 American Savings offered an insured tax free account paying 23 24 compounded monthly If you had invested 80 000 at that time how much would you have on August 2014 assuming that you could have locked the interest rate at the time of deposit Use the formula nt A 1 P 1 for n 12 Round your answer to the nearest cent

Write the number in decimal notation 7 x 104 5 102 8 x 10 1 4 x 10 3 2 10 4 3 10 5

8 Consider the following game A maze leads to two different rooms One room holds the grand prize and the other room is empty You get to choose which room holds the grand prize The catch spinners dictate which paths you will take on the maze In which room should you place the grand prize in order to have the best chance at winning Calculate the exact probabilities from the starting point to each room and explain your choice 5 pts Modified from Teaching Student Centered Mathematics Grades 3 5 by Van de Walle Lovin Fork 1 Rad Fork Start Red Start Room A Room B Fork II Fork Pad

A car of 100kg is driven down a slope located at 21 m distance at 30 deg inclination with the horizontal what is The velocity of car

Nathaniel climbed North Maroon Peak which is 14 014 feet high Nathaniel also climbed Gray s Peak which is 14 270 feet high He wants to climb at least 40 000 feet total this month How high should the next mountain peak be Step 1 Step 2

The income from an established chain of laundromats is a continuous stream with its annual rate of flow at time t given by f t 270 000 dollars per year If money is worth 9 compounded continuously find the present value and future value of this chain over the 4 years Round your answers to the nearest dollar present value X future value 940 675 1 350 000

For questions 11 12 suppose the following scenario After an introductory statistics course 70 of students can successfully perform a hypothesis test Of those who can perform a hypothesis test 88 passed the course while only 67 of those students who could not perform a hypothesis test passed What is the probability a student passes given they can perform a hypothesis test O 12 None of the above O 246 O 754

33 1922 mg Question 8 Mandatory 1 point Interpret the following Signa and select the exact interpretation from the options given M ft ung Disp 15 g A Mix ointment Dispense 15 g OB Dispense 15 g ointment C Make 15 g ointment OD Mix and make ointment Dispense 15 g

Need Help TEACHER Suppose that for a certain mathematics class the scores are normally distributed with a mean of 75 and a standard deviation of 8 The teacher wishes to give A s to the top 7 of the students and F s to the bottom 7 The next 17 in either direction will be given B s and D s with the other students receiving C s Find the bottom cutoff for receiving an A grade You may need to use the standard normal distribution table Round your answer to the nearest whole number 86 81 Read It PRACTICE ANOTHER

CoffeeStop primarily sells coffee It recently introduced a premium coffee flavored liquor BF Liquor Suppose the firm faces a tax rate of 40 and collects the following information If it plans to finance 15 of the new liquor focused division with debt and the rest with equity what WACC should it use f its liquor division Assume a cost of debt of 5 1 a risk free rate of 2 5 and a market risk premiun of 6 8 CoffeeStop BF Liquors The weighted average cost of capital is Beta 0 62 0 23 Equity 96 85 Debt 4 15 Round to two decimal places

3 Round the following number to three significant figures 0 08707

onvert the decimal or whole number to a percent 1 153 8

Which of the following is not a likely cause of concept drift A new competitor to your company enters the market and offers the same product at a cheaper price Your model that has been in production for 12 months is starting to show degraded performance The economy goes into a bear market and customers become more price sensitive Your company expands into new markets in order to grow its customer base

Which of the following best describes Agile model development Being willing to accept the feedback of your stakeholders Starting with a simple modeling approach and improving by iterating through more complex modeling designs Maintaining flexibility in terms of the model accuracy you are willing to accept O Designing and testing as many features as possible before launching your model

Which of the following issues would likely be the most severe in terms of blocking the development of a classification model Your laptop is low on RAM while your data size is large Half of the features in your data set have low to no predictive value The label column in your data set has only NULL values O The population sampled has a bias towards older customers

18 A photon has a wavelength of 3X10 2m What is its frequency

The height of an object measured from sea level is as follows Object A is 150 meters above sea level object B is 15 meters below sea level and C is 45 meters below sea level Determine the distance between a Things A and B b Things B and C

If a 2 b 3 and c 4 calculate a a b c b a b c c a b c d 2a 3b 5c

37 10 O 101001 O 1001010 1010010

11 Find a basis for the subspace of R spanned by S 2 3 1 1 3 9 0 1 5

2 10 Find the basis for the row space and the dimension for M 5 8 3 1 10 6 7 5

14 Given u 0 1 1 2 and v 1 1 3 0 find u v

12 Find the Wronskian for x sinx cos x

Devon invested 7500 in three different mutual funds A fund containing large cap stocks made a 7 5 return in 1 yr A real estate fund lost 10 4 in 1 yr a a bond fund made 3 5 in 1 yr The amount invested in the large cap stock fund was three times the amount invested in the real estate fund If Devon had a net return of 234 across all investments how much did he invest in each fund Devon invested S in the large cap fund in the real estate fund and S in the bond fund X

33 Which two instructional strategies can a teacher use to create a community of leamers that demonstrates respect for all students Choose 2 answers Work with students individually to address academic needs Provide cooperative learning activities that involve the entire class Incorporate a variety of text and print materials to facilitate individual learning activities Provide access to materials so that students have access to multiple perspectives on the content

At an international conference flags from 8 different countries will be displayed Of these flags 4 are from the continent of Africa and 4 flags are from the continent of Europe The flags will be displayed in a row alternating between continents A flag from Africa will be in the first position In how many ways can the flags be displayed 0 X

Use the Valid Argument table below or a Truth Table to determine if the following symbolic form of an argument is valid or invalid p q and p therefore q Valid Arguments Direct Reasoning p q P 9 Invalid Arguments Fallacy of the Converse p q 9 Contrapositive Reasoning p q 9 P Fallacy of the Inverse p q P Disjunctive Reasoning pva pva Misuse of Disjunctive Reasoning pvq P Pv4 Transitive Reasoning p 9 P 4117 Misuse of Transitive Reasoning P 4 1 P 7111

Six people from different positions at a company were interviewed for a survey Their number of years at the company and annual salaries are as shown in the table below What is the MODE number of years at the company for these employees Look carefully at the values because they may not be the same as in the previous question Position Administrative Assistant Sales CEO Years at Company 6 7 8 Project Management 3 IT 7 Salary 29 000 38 600 140 000 53 500 77 400

an ace or a 6 Probability of Compound Events Mutually Exclusive P A or B P A P B Not Mutually Exclusive P A or B P A P B P A and B Independent Events P A and B P A x P B Dependent Events P A and B P A x P B P BIA 1 7 26 2 2 13 3 1 169 lity of selecti

6 9 12 5 a 6 or a red card Probability of Compound Events Mutually Exclusive P A or B P A P B Not Mutually Exclusive P A or B P A P B P A and B Independent Events P A and B P A x P B Dependent Events P A and B P A x P B P BIA 1 15 26 probability of select O2 18 26

The bar graph below represents various colors of cars sold Use the graph to answe the question Approximately how many more black cars than tan cars were sold Cars Sold in Thousands 882882 50 40 30 10 White Yellow Tan Red Black Silver 1 30 000 2 10 000

The table shows the results of a study done to determine whether or not a certain drug improves the symptoms for patients with a particular condition Based on this information what is the probability that a patient shows no improvement if the patient was given the drug Drug No Drug Total 1 0 338 2 0 675 3 0 442 Improvement 270 120 390 No Improvement 530 280 810 Total 800 400 1200

You want to have 200 000 in an account after 30 years for your retirement Your investment counselor suggests that you make regular quarterly deposits into an annuity that pays 5 interest compounded quarterly Find the amount that must be deposited quarterly rounded to the nearest cent P 1 418 64 2 155 16

A single six sided die is rolled twice The 36 equally likely outcomes are shown below Find the probability of getting two numbers whose sum is 4 Second Roll First Roll 1 1 1 2 1 3 1 4 1 5 1 6 2 1 2 2 2 3 2 4 2 5 2 6 3 1 3 2 3 3 3 4 3 5 3 6 4 1 4 2 4 3 4 4 4 5 4 6 5 1 5 2 5 3 5 4 5 5 5 6 6 1 6 2 6 3 6 4 6 5 6 6

9 2 Two coins are flipped If H represents the coin landing on heads and T represents the coin landing on tails then the set of equally likely outcomes for the combinations are TT TH HT HH What is the probability of an outcome of exactly two tails 1 3 4 O2 1 4 03 1

6 9 12 15 18 Let p and q represent the following statements p He sets the alarm q He does not get up on time Write the following statement using symbols only If he sets the alarm then he will get up on time 1 p q 021 9 3 pa 4 p g

Suppose 8500 is deposited into a savings account earning 5 interest compounded quarterly Find the balance in the account in 5 years rounded to the nearest cent Use one of the formulas below to solve the problem Future Value A P 1 1 Present Value P 1 10 897 32 2 9 044 70 3 13 845 60 A 1 5

A couch sells for 810 Instead of paying the total amount at the time of purchase the same couch can be bought by paying 400 down and 55 per month for 12 months How much is saved by paying the total amount at the time of purchase 1 280 2 250 3 400 4 260

2 A family plan for a cell phone has a monthly base price of 99 plus 12 99 for each additional family member added beyond the primary account holder Write a linear function to model the monthly cost C x in dollars of a family plan for x additional family members added 01 C x 12 99x 99 2 C x 12 99x 99 3 C x 99x 12 99 C x 99x 12 99

The price of a cell phone dropped from 800 to 750 Calculate the percent decrease and round to the nearest tenth 1 6 3 2 63 3 67

How much fencing to the nearest whole yard is needed to enclose a circular garden that measures 10 yards across 1 79 yards 2 31 yards 3 63 yards 4 314 yards

If construction costs are 150 per meter find the cost of building a new road in the figure shown 3000 m new road 4000 m 1 750 000 2 60 000 3 250 000 470000