Math - Others Questions

Consider the sets A distinct letters in the word keep B 13 C k e p D 2 1 E three F 3 a What is the cardinality of each set A IBI C D E IFI b Which of the sets are equivalent O A CD E F A C DE F 4 O AC B D E F OAB CD E F A C B D E F c Which of the given sets are equal A C D E F A C D E F C E F A C D E F A C B D E F

Draw a Venn diagram for the relationship An B U An C U A A WebAssign Plot C B B U U A A B B

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

But we can rewrite the event on the LHS in terms of Tk and Tk 1 Since Tk is the sum of k independent exponentials of rate A we have Tk Gamma k and similarly Tk 1 Gamma k 1 X So P N 0 t k P Tk t Tk 1 t P Tk t P Tk 1 t 1 Ax k e x k 1 dx S Xx Xx ke x k dx 7 2

4 Consider the following equation y 3x 6x 24 a Write the equation in its related function form b Use the vertex formula to find the vertex c Solve the zero equation 3x 6x 24 0 Use the method of your choice d Graph the function Plot and label x and y intercepts the vertex and any other relevant points e State the axis of symmetry f Is the graph concave up or concave down g Use interval notation to state the interval where the graph is increasing h Use interval notation to state the interval where the graph is decreasing i Calculate the discriminant Then based on the discriminant identify the number of real solution

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

2 Let two vector functions be defined by r t t t 3t r t t 1 4 5 t a Find the intersection point of the functions Is it a collision point b Find the equation of the line that goes through the intersection point that also orthogonal to both curves at that point

Use the operational properties to find the following Laplace Transforms Indicate P1 P2 P3 or P L t5 cos 5t a b t sinh 3t

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

Find value s of h and k such that A exists A 1 0 1 5 k 1 h 2 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 problems 15 16 let X be from a binomial n 20 p distribution Let Y be from a geometric distribution with p 2 Assume Y is independent of X Let Z 4X 3Y Calculate the standard deviation of Z using the variance of X above O 28 10 O None of the above 260 O 260

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

Researchers collected data to examine the relationship between air pollutants and preterm births in Southern California During the study air pollution levels were measured by air quality monitoring stations Suppose the length of gestation data were collected on 145 106 births between the years 1989 and 1993 and air pollution exposure during gestation was calculated for each birth Comment on whether or not the findings of the study can be used to establish causal relationships Since this study is experimental the findings cannot be used to infer causal relationships O Since this study is experimental the findings can be used to infer causal relationships Since this study is observational the results cannot be used to infer causal relationships O Since this study is observational the findings can be used to infer causal relationships None of the above

A research survey asked 2 373 randomly sampled household owners if they preferred solar energy wind energy neither or both 39 of respondents claimed they prefer solar energy while 26 said wind energy 13 responded that they like both solar and wind energy What percent of household owners prefer neither solar nor wind energy 0 48 O 52 0 78 0 22 None of the above

Which of the following is not an example of feature leakage Using the Thank You page that follows a Purchase page as a feature when predicting purchases from web browsing logs Using previous searches to predict whether or not someone intends to buy a car When predicting whether or not a visitor to Netflix will start a subscription using account number as a feature When predicting whether or not a patient has a certain medical condition based on symptoms and other diagnostics using treatments for that disease as a feature Treatments are only applied after diagnosis is made so this it not a valid feature

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

8 RiverRocks Inc is considering a project with the following projected free cash flows Year Cash Flow in millions 0 50 9 9 4 a The net present value of the project is b Should RiverRocks take on this project 1 2 19 9 3 20 1 4 14 3 The firm believes that given the risk of this project the WACC method is the appropriate approach valuing the project RiverRocks WACC is 11 7 million Round to three decimal places

A ranger in tower A spots a fire at a direction of 338 A ranger in tower B located 40 mi at a direction of 46 from tower A spots the fire at a direction of 294 How far from tower A is the fire How far from tower B The fire is from tower A Round to the nearest whole number 338 N A 46 40 mi N I B 294

Growth Company s current share price is 19 95 and it is expected to pay a 1 30 dividend per share next year After that the firm s dividends are expected to grow at a rate of 4 3 per year a What is an estimate of Growth Company s cost of equity The required return cost of capital of levered equity is Round to two decimal places b Growth Company also has preferred stock outstanding that pays a 2 30 per share fixed dividend If this stock is currently priced at 28 05 what is Growth Company s cost of preferred stock The cost of capital for preferred stock is Round to two decimal places c Growth Company has existing debt issued three years ago with a coupon rate of 5 9 The firm just issued new debt at par with a coupon rate of 6 8 What is Growth Company s cost of debt The pre tax cost of debt is d Growth Company has 5 2 million common shares outstanding and 1 1 million preferred shares outstanding and its equity has a total book value of 50 2 million Its liabilities have a market value of 20 5 million If Growth Company s common and preferred shares are priced as in parts a and b what is the market value of Growth Company s assets The market value of assets is million Round to two decimal places e Growth Company faces a 38 tax rate Given the information in parts a through d and your answers to those problems what is Growth Company s WACC The weighted average cost of capital is Round to two decimal places

0 Your company has two divisions One division sells software and the other division sells computers through a direct sales channel primarily taking orders over the internet You have decided that Dell Computer is very similar to your computer division in terms of both risk and financing You go online and find the following information Dell s beta is 1 17 the risk free rate is 4 3 its market value of equity is 67 7 billion and it has 705 million worth of debt with a yield to maturity of 6 4 Your tax rate is 40 and you use a market risk premium of 5 5 in your WACC estimates a What is an estimate of the WACC for your computer sales division The weighted average cost of capital for your computer sales division is to two decimal places Round b If your overall company WACC is 12 1 and the computer sales division represents 37 of the value of your firm what is an estimate of the WACC for your software division The WACC for your software division is Round to two decimal places

A boat on the ocean is 2 mi from the nearest point on a straight shoreline that point is 12 mi from a restaurant on the shore A woman plans to row the boat straight to a point on the shore and then walk along the shore to the restaurant Complete parts a and b below 2 mi 12 mi a If she walks at 3 mi hr and rows at 2 mi hr at which point on the shore should she land to minimize the total travel time To minimize the total travel time the boat should land restaurant Type an exact answer using radicals as needed miles from the

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

Find the cumulative distribution for the table Use a value of 6 to stand for 6 or more bedrooms Number of Bedrooms Percent Cumulative 4 11 28 34 14 8 1 0 1 2 3 4 5 6 or more median mode Read It Additional Materials Find the mean median and mode for the table If an answer does not exist enter DNE Round your mean to two decimal places mean 3 X bedrooms bedrooms 3 DNE X bedrooms Need Help Tech Guide Excel Tech Guide TI 83 84 Tech Guide TI Nspire 4 15 43 77 91 99 100 Watch It

2 Barry Severes purchased a 25 000 Baltic Ridge School District bond at a quoted price of 105 7 The bond pays annual interest at a rate of 3 7 3 Lloyd Zion purchased an ITT 80 000 corporate bond at a quoted price of 96 622 The bond pays annual

the a annual net income and b annual yield 1 Beverly Ray bought a real estate rental property for 345 900 After a 100 000 down payment she mortgage the rest Her annual expenses totaled 28 760 and she rented the condo for 3 975 per month

Which of the following statements is true regarding class imbalance A label with class imbalance will always be challenging to model An accuracy of 99 can be bad when there is high class imbalance O Upsampling is always better than downsampling Class imbalance is a pretty rare problem to worry about

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 benefit of writing reproducible code It requires you to spend more time writing and designing code It enables you to make design revisions with minimal additional work O It can help others audit and verify your results It makes it easier to embed the modeling flow in a production system

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 is not a common cause of what we call a model performance failure mode O Having too small of a data sample for model training O Having mostly irrelevant features O Having no hyperparameter exploration in the model building phase Having too large of a data sample for model training

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 is not an indicator of irrelevant features Model performance does not increase after adding the feature The normalized feature importance is below 1 O The feature has a low correlation with the label The feature was proposed by a domain expert on the problem

Which of the following statements regarding model estimation bias and variance is false Estimation bias typically is caused by small sample sizes ML algorithms with more model complexity tend to have higher estimation variance High estimation bias is when an ML algorithm can t fit the true pattern leading to underfitting O Model estimation variance can be reduced by adding more data or averaging different models

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

Which of the following best describes the goal of learning curve analysis O Learning curve analysis enables you to identify the impact of dataset size on model performance Learning curve analysis is an ideal solution for managing class imbalance Learning curve analysis enables you to quantify model estimation bias of a chosen algorithm O Learning curve analysis enables you to identify your most influential features

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

of the demand function for math anxiety pills is p Consumer surplus 49 X dollars D x 16 2x determine the consumer surplus at the market price of 2 dollars

A hypothetical computer keeps real numbers in the floating point format with 8 bits The first bit is used for the sign of the number the next four bits for the exponent and the rest of the bits for the fraction part of the mantissa Assume it works as same as the floating point numbers in R Which of the following is most nearly the machine epsilon O O 2 2

37 10 O 101001 O 1001010 1010010

20 Determine all vectors v that are orthogonal to u 11 2