Basic Math Questions and Answers

Use inverse matrices to find the solution of the system of equat fa I 2y 15 27 5y 33 What is the coefficient matrix for this system 36 What is the constant matrix for this system What is the solution to the system as an ordered pair

Compute 5 5 213

Find the size of the matrix 2 2 14 51 5 45 1 2 43

Compute 53 15 3

Write the system of equations as an augmented matrix 2 3y 3 42 6y 3 5 3z 2y 32 1 6 00 00

Match each linear equation with its graph G K Equation y 3x 1 2 y y B 1 y x 1 y 5x 1 R Graph Color a green G b black K c purple P d blue B e red R

Find the maximum of the objective function C 2z 7ysubject to the feasibility region below 20 D D b 40 t N 4 to th M 5 9 10 11 4 4

Minimize z z 2y 4y 6x2 36 3y z 9 14 20 0 Subject to 2y 2x Minimumis I 9

A company produces two types of drills a corded and cordless The card type drill requires 2 hours to make and the cordless model requires 3 hours The company has 360 work hours per day for manufacturing and daily storage of 165 drills per day Letz the number of cordless drills produced per day and y the number of corded drills produced per day Write the system of inequalities Graph the system of inequalities Hint There are 4 inequalities 230 240 228 20 20 190 180 170 160 150 140 120 120 110 100 90 70 00 20 40 30 360 20 sot 165

Graph the feasible region for the follow system of inequalities by drawing a polygon around the feasible region Click to set the corner points x 7y 42 5x 3y 50 I 70 94 8 74 1654 5 3 2 20 20 2 4 56 8 9 10 9

The graph of the solution region for the system of inequalities is shown below Locate all corn 2x 5y 50 Graph 13 14 10 9 8z 4y 72 z 0 V20 2x 3y 30 2x 4y 72

Chris Proust is a sophomore in the College of Business at Scandia Tech Last semester Chris took courses in statistics and accountin 4 hours each and earned an A in both Chris earned a B in a 1 hour history course and a B in a 3 hour history of jazz course In addition Chris took a 4 hour course in the rules of basketball to get a referee s license and officiate high school basketball games Chris got an A in this course In computing a grade point average assume each A gets 4 points each B gets 3 points each C gets 2 points and each D gets 1 point Required a Calculate the GPA for the semester Note Round your answer to 2 decimal places GPA b What measure of central location did you calculate Measure of central location

certain radioactive substance decays by 3 1 6 each year Find the half life of the substance to ecimal places VORGE

Explain the concept of Windows virtual Desktop Why would the user need more than one desktop What are the key functionalities of Windows virtual Desktop Upload the document on canvas in MS Word format double spaced 1 2 pages max and without any spelling and grammatical mistakes by the due date The

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a coin is tossed and an eight sided die numbered 1 through 8 is rolled find the probability of tossing a tail and then rolling a number greater than 6 the probability of tossing a tail and then rolling a number greater than 6 is

the IB SL formula booklet Round to 3 s f if not otherwise specified Viding all work You may use a graphing calculator and 5 In a school 200 students solved a problem in a mathematics competition Their times to solve the problem were recorded and the following cumulative frequency graph was produced a cumulative frequency a i a ii 225 200 175 b 150 125 100 75 50 25 0 0 10 Use the graph to find the median time 200 2 the lower quartile 200 100 38 9 a lii the upper quartile 50 32 20 a iv the interquartile range 50x3 150 43 30 time seconds Q3 Q1 43 32 11 Cedric took 14 seconds to solve the problem Q3 1 5x IQR Determine whether Cedric s time is an outlier SHOW ALL WORK Upper bound i 40 555 50 60 Lower bound S QI 5xIan

A group of 20 students travelled to a gymnastics tournament together Their ages in years are given in the following table Age years Frequency 13 14 15 14 15 1 2 a ii For the students in this group write down the median age 14 15 16 17 18 19 20 22 141 8 17 6 25 1XG The lower quartile of the ages is 16 and the upper quartile is 18 5 16 b Draw a pox and whisker diagram for these students ages on the following grid V 17 18 4 X 17 16 7 1 19 20 22 1 1 3 18 19 20 21 Age years 22 23 24

9 Explain why it is not possible to determine a vector that is mutually perpendicular to vectors 2 1 and 6 2 2

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P2 P1 D1 D2 Creative Commons The price P of designer jeans is affected by the supply S and the demand D Which of these represents an equilibrium price for designer jeans 5 points The line marked D1 The line marked Q1 Q2 O The arrow pointing to D2 The intersection of R1 and 01

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Find the present value for the account in which the desired future value is 30000 at 9 68 interest compounded quarterly for 2 years Round to the nearest cent

For the proprablility distribution table below 8 0 1 f 2 3 4 P x 0 15 0 15 0 16 0 13 Find the mean Round to two decimal places 0 41 Find the standard deviation Round to three decimal places xP x x P x

Building an Emergency Fund You are working two part time jobs Working at the local library pays 15 per hour and working as a personal trainer pays 20 per hour Last week you made 800 and worked 45 total hours

Find the cost of the Hershey bar in 2023 using the formula c ose osat

6 What is the only x 0 for which the statement below could be true If eggs cost x a dozen less then it would cost 1 less for x 1 eggs than if eggs were x a dozen more EGG SALE Please do not include unit in your answer

3 A total of 1500 is invested at 1 2 and 4 annual interest The interest after 1 year equals 46 The amount invested at 2 is double the amount invested at 1 Find the amount invested at each rate

Find the size of the permanent endowment needed to generate an annual 21 000 forever at a continuous interest rate of 7

How much water must be evaporated from 28 ounces of a 6 salt solution to make a 7 salt solution

17 60 The drum has a weight of 80 lb and a radius of gyration ko 0 4 ft If the cable which is wrapped around the drum is subjected to a vertical force P 15 lb determine the time needed to increase the drum s angular velocity from 5 rad s to 25 rad s Neglect the mass of the cable 0 5 ft P

A recent survey concluded that of the teachers in a certain school district had at least 10 years of teaching experience If there are 152 teachers in the district approximately how many have at least 10 years of teaching experience

12 5 pts Given f x 2x 12x 22 write the function in standard form that is f x a x h k

10 5 pts Given f x x 3x 9 find f x h f x h for h 0

4 Consider 8 293 a 3 pts State an angle coterminal to 0 b 3 pts Sketch 0 c 3 pts What is the reference angle of 293

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real i rate A S B Dm Quantity of Money Looking at this graph of the money market how might we move from point A to point B O a The Federal Reserve could hold an open market operation and buy bonds b Congress could use fiscal policy and tighten its spending O c The Federal Reserve could hold an open market operation and sell bonds d Government could lift price controls on agricultural goods

A B D C D What could this graph be used to illustrate a The welfare benefits when a country exports a good b The welfare benefits when a country imports a good O c How to apply the Big Mac index to the trade model Od The welfare effects of a tariff S Q beef WORLD PRICE

K The graph models the baseball schedule for a week The vertices represent the teams Each game played is represented as an edge between two teams How many games are scheduled for Minnesota during the week List the teams that they are playing How many times are they playing each of these teams List the teams that Minnesota is playing Select all that apply A Miami D Pittsburgh B Green Bay E Cincinnati C Buffalo OF No teams How many times is Minnesota playing each of these teams this week Minnesota is playing Miami time s Cincinnati time s Green Bay time s Pittsburgh time s and Buffalo time s Type whole numbers Miami Green Bay test Minnesota Buffalo Cincinnati Pittsburgh

Find mZD B 1 C 2 mZD D Write your answer as an integer or as a decimal rounded to the nearest tenth

8 A traffic light weighing 15 pounds is suspended by two cables see figure Find the tension in each cable if 0 40 and 0 35 Approximat the answers to one decimal place 0 0

m the probability distribution to the right the random variable X represents the number of hits a paseball player obtained in a game over the course of a season Complete parts a through f below a Verify that this is a discrete probability distribution This is a discrete probability distribution because and the of the probabilities is Type whole numbers Use ascending order b Draw a graph of the probability distribution Describe the shape of the distribution Graph the probability distribution Choose the correct graph below O A 0 4 0 3 0 2 0 1 0 0 1 2 3 4 5 Number of Hits Q The distribution Q OB 0 4 0 3 0 2 0 1 0 Describe the shape of the distribution GULLOR 0 1 2 3 4 5 Number of Hits and is Q O C G Do not round 0 4 0 3 0 2 0 1 c Compute and interpret the mean of the random variable X Hx hits Type an integer or a decimal Do not round Which of the following interpretations of the mean is correct 012345 Number of Hits Q O D Q 0 4 0 3 X P x 0 1661 0 3357 0 2878 3 0 1492 4 0 0364 0 0248 between and inclusive 0 0 2 0 1 o 1 2 5 012345 Number of Hits Q B OA The observed number of hits per game will be equal to the mean number of hits per game for most games OB In any number of games one would expect the mean number of hits per game to be the mean of the random variable OC Over the course of many games one would expect the mean number of hits per game to be the mean of the random variable OD The observed number of hits per game will be less than the mean number of hits per game for most games d Compute the standard deviation of the random variable X 0x hits Round to three decimal places as needed e What is the probability that in a randomly selected game the player got 2 hits

A website that reviews recent movies lists 4 five star films the highest rating 15 four star films 16 three star films 9 two star films and 6 one star films Make a frequency table for the data set Include columns for relative frequency and cumulative frequency Complete the table Type integers or decimals rounded to the nearest tenth as needed Cumulative frequency Stars Frequency Relative frequency 5 4 100 3 2 1 Total 10000