Math - Others Questions

A transit company operates commuter trains to help people get to the city each day Each train travels on a straight route to and from the farthest station stopping at other stations along the route The graph shows the distance y miles the train is from the station after x minutes Commuter Train Distance Distance from the Station miles 25 20 y 0 10 20 30 40 50 60 70 80 Time minutes Formula Sheet Calculator Referen Type your answer in the box You may use numbers a decimal point and or a negative sign in your answer Based on the graph what was the average speed in miles per minute of the trai during the interval of 30 to 40 minutes

The function models the number of accidents f x per 50 million miles driven as a function of a driver s age x in years where x includes drivers from ages 16 through 74 inclusive The graph of f is shown Find and interpret f 35 Identify this information as a point on the graph of f Find f 35 f 35 Simplify your answer Type an integer or a decimal Interpret 35 Number of Accidents 1000 For year old drivers there are accidents per 50 million miles driven Simplify your answers Type an integers or decimals Identify this information as a point on the graph of f 16 x 0 4x 36x 1000 45 Age of Driver 74 Q G

Evaluate f x for the given values for x Then use the ordered pairs x f x from the table to graph the function f x x 2 N 3 2 1 0 1 12 1 2

2 2 points Usha needs to repay a 3000 loan Her bank offers personal loans at 9 5 per year compounded monthly Usha can afford to make monthly payments of 100 How long will it take her to repay the loan Show your steps 40 months 30 months 20 months 35 months b C d

R 0 049 12 0 049 48 12 18 694 90 1 429 68

25456 61 x 0 064 12 1 170 069 48

Now try a few on your own Problem Emilio is working on a project involving the use of metal rods He knows that one rod must be 20 cm longer than the other He also knows that the combined length of the rods is 42 cm Let y the length of the other rod Which two equations will help Emilio solve this problem Click on the correct answer x 20 y y 42 x y 42 x y 20 x x y 20 y 42 x x y 42 x 20 y

The cost of producing 430 stereo speakers is 2970 Producing 760 stereo speakers would cost 4950 Step 2 of 3 Assuming the total cost is a linear function write an equation for the cost of producing x stereo speakers Answer

21 2 points Determine the monthly deposit needed to save 10000 in three years if interest is earned at 3 5 per year compounded monthly Show your steps 293 02 263 85 b 250 13 276 97

20 2 points Determine the present value of monthly car payments of 590 at 6 9 per year compounded monthly for two years Show your steps 851 43 a b 13191 06 13644 67 d 15137 03

3 19 2 points What is the future value of an annuity with quarterly payments of 650 for 4 years at 5 per year compounded quarterly Show your steps a A 2616 30 9373 19 10920 00 11434 26

11 1 point The graph shows the amount of an investment earning simple interest What is the annual simple interest rate 1600 1200 800 400 8 10 1300 1

4 1 point The graph of an amount in an account earning simple interest is linear

18 2 points Angelina has 4800 in a daily interest savings account The account pays an annual interest rate of 0 175 compounded daily Calculate the interest earned on Angelina s money in 1 5 years Show your steps 12 62 15 10 C 20 00 d 50 19

7 1 point The future value of an ordinary simple annuity can be calculated as the sum of a series of simple interest calculations

13 1 point 200 is invested monthly for 20 years into a fund that pays 7 per year compounded monthly Which are the correct values to substitute for PMT i and n a 200 0 0583 240 b 200 0 0035 240 c 200 0 00583 240 d 2400 0 00583 20

16 1 point RA bacterial colony with an initial population of 50 doubles every 5 h Which of the following equations models the exponential growth for time 1 in hours b C A 50 2 4 50 2 A 50 A 50

12 1 point 600 is invested quarterly for 4 years into a fund that pays 3 5 per year compounded quarterly Which are the correct values to substitute for i and n a 0 035 16 b 0 00875 16 C 600 16 d 0 00875 4

17 2 points How long will it take an investment to double in value at 4 per year simple interest Show your steps 25 years d 30 years 15 years b 20 years C

3 1 point The formula PV PMT annuity can be used to calculate the present value of an ordinary simple D O

15 1 point Simplify 3 5 32 a 3 b 39 d 1

5 1 point An annuity is a series of equal payments or deposits paid at regular intervals over a fixed period of time

1 point In an ordinary annuity payments are made at the end of each payment period

Directions Select the most correct answer for each of the questions below 14 1 point 4 is a positive b negative undefined none of the above

10 1 point The functions f x a g x b and h x c intersect at the point a 1 1 b 0 1 c 1 0 d 0 1

3 1 point Roots of numbers can be represented by rational exponents

2 1 point Finite differences can be used to determine whether a function is exponential

standing Directions Select the most correct answer for each of the questions below 9 1 point The equation A 60 60 A 30 2 W can also be written as b A 30 2 V C A 60 2 d A 60 2

Directions Indicate whether the statement is true or false 1 1 point a is equal to 1 for all a R

11 B y C Dik d zleminde C 4 0 B 2 0 AOC e kenar x gen ve koordinat m ABC a dir Buna g re cota de eri ka t r A 2 3 B 3 B 3 C C 4 3 D 5 3 E 2 3

A homeowner borrowed 6940 for landscaping He signed a 90 day note on May 10 at 12 interest Find the due date and the maturity value The due date month day is

ZZZ Y N N Y N Y N N N N No Bad No True Mask N Y Y N N No Bad Smokes Height 175 Yes No N N N Y N Bad Yes Good Yes Ears Yes Good There exists a consistent tree for this training data i e one that classifies all training points correctly Z Z N N Y N N 176 185 140 170 179

Imagine you are building a decision tree to predict whether a personal loan given to a person would result in a payoff i e the person pays off the loan or default the person fails to pay back the loan Your entire data set consists of 30 examples 16 belong to the default class 14 belong to the payoff class The examples contain two features Balance and Residence Balance refers to the amount of money the person has in their savings and checking accounts at the time of the loan which can take on two values 50K or a 50K o Residence refers to whether or not the person owns their home or rents and can take on two values OWN or RENT As stated the class label for y can be either default or payoff Before splitting the parent region into child regions the entropy of y in the parent region is H y parent 30 log 30 log 3 0 99 After splitting the parent region into two child regions CL and CR the weighted average of the entropy of y over the child regions is the sum r CL H y CL r CR H Y CR where r CL is the ratio of the number of examples in child region c divided by the number of total examples in the parent region prior to a split r CR is the ratio of the number of examples in child region CR divided by the number of total examples in the parent region prior to a split The goal is to find a good split that will yield a low weighted average entropy of the partitioned child regions Calculate the entropy for the parent node and see how much uncertainty exists by splitting on Balance The blue circles represent people from the payoff class and the red circles are people from the default class Splitting the parent node on the Balance attribute gives us two child nodes 50K or 50K Review the graphic below to see how the data is split 0 37 Entire population 30 instances 0 99 Balance 50K p 12 13 0 92 p 1 13 0 08 12 1 16 0 14 p 16 30 0 53 p 14 30 0 47 p 4 17 0 24 p 13 17 0 76 What is the entropy of the root node if we split on Balance Balance 50K 4 13

Y ZZZ Y N N Y N Y ZZZ Y N N N N No N N Y Y N N No Cape Yes Tie ZZZ Y N N N Y N Yes No Smoke Yes Bad Good Good Is it always possible to find a consistent tree Bad O Yes regardless of the nature of your data you can always find a consistent tree O No there will always be some data that can t be split completely Yes but only if no two input vectors have N ZZZZZ N N N N 180 176 185 140 170 179

Y ZZZ N N N Y Y N N N N No Bad No N Z Z No N Y Y N N Mask Smokes Yes Height 175 ZZZ Yes N Good N No N Y N Bad Yes Ears Yes Good Bad Does the decision tree displayed above classify the training data correctly O Yes it classifies 100 of the data correctly ZZZ N N N Y N N 180 176 185 140 170 179

Explore the Subtracting Blocks eManipulative and then investigate this problem The picture below represents the number 52 If you wanted to model the problem 52 17 what would you need to do O A Convert 1 long into 10 cubes OB Take away 7 cubes OC Take away 1 long OD All of the above

The 12 shapes in the Venn diagram shown to the right are described by the attributes of shape size and color Let C H and T denote the respective sets of circular hexagonal and triangular shapes Similarly let S L R U and B denote the sets of small large red and blue shapes The set A contains the shapes that are small and not a triangle so A SOT Complete parts a through d below a Express small circles in symbolic form A Snc OB CUSUS OC CUS On soco A 4

Finish labeling the number of elements in the regions in the Venn diagram shown to the right where the subsets A B and C of the universe U satisfy the following conditions n U 100 n A 30 n B 50 n C 40 q S t 1 V W X 1 n ANB 16 n BNC 16 n ANC 18 n ANBOC 9

green c yellow and d not red fy your answer reen fy your answer allow 0 fy your answer CELE

The table to the right contains information about a shopping cart full of jars of taco sauce that must be stocked on a shelf Assume that all jars are the same size and shape If a stock clerk elects one jar at random to place on the shelf determine the probability he selects a jar of Irand B taco sauce Brand B taco sauce Simplify your answer CELER Brand Brand A Brand B Brand C Brand D Total Mild 2 9 6 1 18 Medium 9 B 9 4 30

ler contains 100 ice cream bars There are 10 Vanilla bars 20 Mint Chocolate Chip bars 30 Chocolate bars and 40 Rocky Road bars If one bar is selected at random from mine the probability that the bar selected is Rocky Road Mint Chocolate Chip or Vanilla probability that the bar selected is Rocky Road Mint Chocolate Chip or Vanilla is Type an integer or a simplified fraction

Refer to the table which contains information about 36 jars of salsa available at a particular food pantry If a jar is randomly selected determine the probability that the salsa is Brand A If a jar is randomly selected the probability that the salsa is Brand A is Simplify your answer GEILD Brand Mild Medium Hot Total C 1 10 4 11 15 36 A B C Total 3 5 0 8 6 2 8 16 7 12

green c yellow and d not red Tod plify your answer green plify your answer GELED GILE

medical researcher administers an experimental medical treatment to 200 patients The patients in the study are categorized by blood types A B AB and O The researcher observes atment had a favorable outcome for 18 of the 60 patients with blood type A 17 of the 68 patients with blood type B 2 of the 2 patients with blood type AB and none of the 70 patients De O Use this information to complete parts a through d Determine the empirical probability of a favorable outcome for those patients with blood type A tavorable A Type an integer or decimal rounded to the nearest hundredth as needed

green c yellow and d not red d 0 ify your answer SILD erms

ple choice test question has seven possible choices ou randomly select one of the choices what is the probability that you select the correct choice Du randomly select one of the choices what is the probability that you select an incorrect choice ou can eliminate four of the seven choices and randomly select one of the remaining choices what is the probability that you select the correct chc ou can eliminate four of the seven choices and randomly select one of the remaining choices what is the probability that you select an incorrect c correct Type an integer or a simplified fraction

given week a veterinarian treated the animals in the accompanying table Use this mation to complete parts a through c etermine the empirical probability that the next animal she treats is a dog Determine the empirical probability that the next animal she treats is a rabbit Determine the empirical probability that the next animal she treats is a bird P dog Type an integer or a simplified fraction CIE Animal Dog Cat Bird Rabbit Number Trea 35 40 5 20

e probability that an event occurs is 0 2 the probability that the event does not occur is probability the event does not occur is be an integer or a decimal

The probability of an event that cannot occur is 0 The probability of an event that must occur is 2 1

L For any event A P A P not A 0 2 0 5 1