Basic Math Questions and Answers

IN GOD Head Figure 4 a fifty cent coin showing both heads and tails Tail Above is a coin with both a heads and a tails What is the probability of tossing two each in a row Answer is in verbal written form Do we add or multiply O One out of four

Find f x for the function then find f x for the given x 8 f x f 1 X 8 O A f x f 1 8 8 O B f x f 1 8 X 8 O c f x 2 f 1 8 8

Assume that a demand equation is given by x 5000 100p Find the marginal revenue for the given production levels values of x Hint Solve the demand equation for p and use R x xp a 1000 units b 2500 units c 5500 units What is the marginal revenue function R x DIX

nd the slope and the equation of the tangent line to the graph of the function at the given value x x x 18x 81 x 2 The slope of the tangent line is Simplify your answer

The profit in dollars from the sale of x expensive watches is P x 0 02x 5x 4x0 3 4000 Find the marginal profit when a x 500 b x 2000 c x 5000 and d x 10 000 a When x 500 the marginal profit is Round to the nearest integer as needed

Find the derivative of the function y 2 4 4 X x X

Find the given derivative d dx dx 5x 5x 1 3 3 3 5 3 X 5 3 11

Find the derivative of the function dy 10 y 4 x C

Find the derivative of the function y 17t

Find the derivative of the following function dr ds 11 r 1 3 4s 6 4 5s

Find the derivative of the function 3 f x 24x 4x2 f x N

Find the x value s where the graph does not have a derivative The x value s where the function does not have a derivative is are x

Find f x for the following function Then find f 6 f 0 and f 9 f x 2x 11x f x

both the silent and sound eras True O False Question 4 1 pts Lois Weber approached films as a means to promote her social messages eventually she formed her own production unit Lois Weber Productions in 1917

14 If D is the circumcenter of AABC and AD 6 find BD H9 F4 G6 J 12 B

Match the following films to the descriptors Micheaux 1925 film starring singer and activist Paul Robeson DeMille s early big commercially successful film financed subsequent films Cooper and Shoedsack film featuring the special effects stop motion work of Willis O Brien Von Stroheim film originally so long took 3 days to view based upon the book McTeague Lois Weber film examining corruption and social injustices Choose Choose Choose Greed Body and Soul King Kong The Cheat The Hypocrites

1 point Which of the following graphs have Euler circuits or Euler trails M L 0 P A Has Euler trail A Has Euler circuit 0 I OC Has Euler trail C Has Euler circuit H I 0 V M S B Has Euler trail B Has Euler circuit R X K S OD Has Euler trail D Has Euler circuit R 20

Johnstown Baseball Hats had a very profitable year The company decided to share some of its profits with the people who own shares of its stock the shareholders The money Johnstown Baseball Hats sent to the shareholders is called A An interest payment B A rental royalty C A dividend payment D A transfer payment

1 point Which of the following graphs are trees 6 f g DA g b h h e f B g 10

A manufacturer reports the following Information 50 per unit 12 per unit 6 per unit 2 per unit 40 Direct materials Direct labor Variable overhead Fixed overhead Target markup Compute the a total product cost per unit under absorption costing and b target selling price per unit under absorption cost Complete this question by entering your answers in the tabs below Required A Required B Compute the total product cost per unit under absorption costing Total product cost using absorption costing Per unit

replace Service company provides fireplace cleaning services and has variable costs of 100 per fireplace cleaning and revenue of 250 Their contribution margin Is Contribution margin 25

Let u 4 7 1 and 1 4 3 Compute the following u v v u 9 u v 9 97 u v v

Find the general solution of the equation 11 16 2x y

Below a two way table is given for a class of students Male Female Total Freshman Sophomore 4 6 3 4 Junior 2 6 Senior 2 3 P female freshman Find the probability the student is a female given that they are a junior P female and freshman P freshman Round to the nearest whole percent Total

O 6 O O Spinner A 5 13 7 18 Figure 6 notice there are two spinner one has numbers and the other has names of colors 2 What is the probability of spinning the number 3 and the word yellow Answer is a fraction in simplest format 1 18 4 005 3 Spinner B Yellow Brown Red

Shirt Black Blue BK BI White Bk Wh Red Bk Re Yellow Bk Ye Purple Bk Pu White Grey Wh BI Gr Bl Wh Wh Gr Wh Wh Re Gr Re Wh Ye Gr Ye Wh Pu Gr Pu Brown Br Bl Br Wh Br Re Br Ye Br Pu Figure 5 a table illustrating all the possible combinations or pants and shirts in Pedro s closet O And or or 01 O What is a table What is the probability Pedro will pick a red shirt and grey pants Answer to the nearest 100th

6 01 10 6 Spinner A O 43 04 12 1 5 1 18 2 4 3 Figure 6 notice there are two spinner one has numbers and the other has names of colors Spinner B What is the probability of spinning an even number and the word red Answer is a fraction in simplest format Yellow Brown Red

Please identify what part of the ML process is represented by the activities described in the following scenario The management of a company identified customer churn as a major threat to the company s growth As an analyst and ML engineer you are involved in a series of meetings where you discuss whether the right way to combat churn is reactive or proactive You arrive at the conclusion that it would be more productive to concentrate your efforts on preventing future churn rather than trying to bring back churned customers or expanding the new customer base at the rate that makes up for churn Customer churn is the loss of customers or clients and happens when customers decide to stop doing business with a company Business understanding Data understanding Data preparation O Modeling

Die 1 1 2 3 2 1234 T 4 5 5 6 6 7 2 3 4 ch O 41 67 O 27 78 O 13 89 5 6 7 8 Die 2 3 4 5 6 7 415 70 7 8 9 00 0 8 9 10 5 6 7 8 9 10 11 6 7 8 10 11 12 Figure 7 above illustrates the all the possible outcomes of the sums of two numbered cubes What is the of rolling a sum greater than 8 Answer to be as a percent to the nearest 100th

e 5 Suppose that a and b belong to a group and as e and b7 Write a 2b 4 and a b4 2 without using negative exponents

MM O 37 5 O 12 5 O 25 0 wo Figure 3 Numbered spinner What is the probability of the spinner landing on the number 1 Answer in percent to the nearest 10th 3 23 13 1 21 5 1

100 04 10 00 Take a paperclip xad lay it on the spinaer se prip and to heal it down pin the paper lip and get a tally ne each wamber it stope on Repeat too times Collect your 8 30 0o 7 6 Figure 1 Red and Blue Numbered Spinner 8 5 Using Figure 1 above what is the probability of this spinner landing the color red Answer is in simplest fractional format 1 4 2 3

A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat 12 ft 112 6 14 ft sec Not drawn to scale a The winch pulls in rope at a rate of 4 feet per second Determine the speed of the boat when there is 15 feet of rope out ft sec What happens to the speed of the boat as it gets closer to the dock The speed of the boat Select as it approaches the dock b Suppose the boat is moving at a constant rate of 4 feet per second Determine the speed at which the winch pulls in rope when there is a total of 15 feet of rope out ft sec What happens to the speed at which the winch pulls in rope as the boat gets closer to the dock The speed at which the winch pulls in rope Select V

While working with a two dimensional array you encounter a need to scale each sub array by some factor i e multiply every value in the first column by a every value in the second column by a2 etc What package s would you use O Numpy O Pandas O Matplotlib Seaborn

You would like to build a multiclass classification model Instead of coding all of the steps manually which package would you expect to already have methods for loading this standard model training it and predicting the output values O Numpy O Pandas O Matplotlib Seaborn

You have two separate data frames describing different features of the same example The dataframes share an ID column in common making it possible to establish which rows in each frame describe the same example You would like to create a new data frame keeping only a few particular useful features from each column and standardizing the way that the missing values are denoted Which package s would you use for your task O Numpy O Pandas O Matplotlib Seaborn

You are working on a classification problem and have a dataset composed of hundreds of labeled examples and two features You want to visualize the relationship between the features Which package would you use O Numpy O Pandas O Matplotlib Seaborn

Your hotel recommender system showed good results on the previously unseen data beating the performance of the model that is currently being used by users on your company s website You work with engineers to prepare to take the model live replacing the incumbent model with the new one Which stage of the ML pipeline would this activity correspond to Business understanding Data understanding Data preparation O Modeling

Imagine that you are building ML models for the business needs of a utilities company To address infrastructure inefficiencies you would like to query your dataset to retrieve all examples i e rows such that the average monthly bill column has a value that exceeds Z Which package would you use to subset your data in this way O Numpy O Pandas O Matplotlib Seaborn

Previous Problem 1 point Which of the following arrow diagrams represents a function Problem List V 1 2 3 A 1 23 Next Problem R V ve A R W X Y 2 O F R 2 3 B D 13 B a b B B C

You would like to explore the relationship among the four features in your dataset In particular you d like to visualize the correlations between the features For the most intuitive and quick grasp of the correlations through visualization what package would you use O Numpy Matplotlib Seaborn Scikit garn

A video streaming company that you work for is interested in predicting the most popular videos among young viewers a category that certain advertisers are interested in One way to go about it would be to learn what genres tend to be favored by this group However you suspect that the standard definitions of genre classes may be noisy and imperfect and genres are not very relevant to understanding the taste profile of your people You think that perhaps some completely different characteristics when considered together make clusters that describe user preferences You decide not to assume what exact groupings to look for Instead you build a clustering model for 5 groups that largely share viewership Which stage of the ML process does this scenario describe Business understanding Data understanding Data preparation Modeling

For your ML project you decided to use data aggregated from multiple sources However you notice there is missing data Which stage of the ML process are you in when you clean standardize merge your data sources and replace the missing values using some averaging function Business understanding Data understanding Data preparation O Modeling O Evaluation

Working at a retail bank you trained a model that predicts the risk of a given customer missing two consumer credit payments in a row You established that the model performs accurate risk estimation for previously unseen data However you additionally analyzed whether the rate of falsely predicting a high value of risk is greater for younger clients age 25 compared to clients of other ages What stage of the ML process is described in this scenario Business understanding Data understanding Data preparation Modeling

After reading data from a text file you realized that it is incorrectly separated into lines Each line in the text file concatenates several data points into one Luckily you know where the line breaks should have been i e how many columns should be for each row of the data You need to reshape the array that you created so that it has the correct number of rows and columns Which package would you expect to contain the fastest method for this array operation O Numpy O Pandas O Matplotlib Seaborn

manager a company customer churn as a major threat to the company s growth As an analyst and ML engineer you are involved in a series of meetings where you discuss whether the right way to combat churn is reactive or proactive You arrive at the conclusion that it would be more productive to concentrate your efforts on preventing future churn rather than trying to bring back churned customers or expanding the new customer base at the rate that makes up for churn Customer churn is the loss of customers or clients and happens when customers decide to stop doing business with a company Business understanding Data understanding Data preparation O Modeling

Previous Problem Problem List Next Problem 1 point Which of the following functions are one to one Recall that injective is another word for one to one 1 a A 1 2 3 B 1 R F 1 2 3 M 2 R R R B B W W X Y 2 3 W B X LY 1 2 B V X Y 2 Z

Which of the following are trees and which are forests T S U K R V H DA Is a forest OA Is a tree L I M OC Is a forest C Is a tree X H N 0 G P E Q D F R B Is a forest B Is a tree G OD Is a forest D Is a tree S B

Determine whether each of the following functions f a b c d a b c d is one to one and or onto Check ALL correct answers a f a b f b b f c d f d c A one to one B onto C neither one to one nor onto b f a d f b a f c c f d b A one to one B onto C neither one to one nor onto c f a b f b a f c b f d c A one to one B onto C neither one to one nor onto d f a c f b d f c a f d b A one to one B onto C neither one to one nor onto e f a b f b a f c c f d d A one to one B onto OC neither one to one nor onto

A chatbot question answering system outputs a sentence in response to a user s initial question To implement this system engineers aggregate and parse vast amounts of written literature webpages and news articles Based on this text collection they estimate relative likelihoods that the next word in a sentence is Y given that the previous word was X Then they use this model to generate the first word followed by the second word that is most likely to follow after it and so on until the next most likely occurrence is that of a period i e the sentence ended O ML O Not ML