Math - Others Questions

The principal has a duty to perform all of the following except a duty to perform the contract according to its terms a duty to compensate the agent for services a duty to indemnify the agent for loss in some circumstances a duty of loyalty to the agent

An agent s implied authority to perform any act reasonably necessary to execute express authority is called authority express customary O apparent incidental

When a seller breaches a contract for the sale of goods to a buyer the buyer is entitled to specific performance of the contract if the goods are unique market cost of goods has increased goods can be purchased in any city buyer s customers will be disappointed

a If a raw score corresponds to a z score of 1 75 what does that tell you about that score in relation to the mean of the distribution b What if the raw score corresponds to a z score of 0 85 These problems are worth 10 points Please answer the questions in complete sentences

Find the mean median and modes of these sets of numbers 11 13 11 13 2 13 29 11 24 22 16 26 23 7 8 6 12 7 12 3 11 8 13 10 12 7 8 8 13 10 Mean 1000 Median Mode

Jeremy caught 8 fish in a contest The mean weight of the fish was 4 3 kg He forgot to make his own record of the weight of the last fish but the first 7 were 4 1 kg 5 5 kg 6 7 kg 2 kg 3 9 kg 4 6 kg and 4 3 What was the weight of the last fish kg 2

of ea set of numbers 10 15 13 17 14 61 82 64 68 75 68 78 78 73 69 4 5 4 6 2 1 3 4 2 2 2 7 1 5 2 1 8 2 2 2

21 Median Work out the median for each group of numbers 3 5 8 9 10 11 12 12 13 13 12 12 15 16 10 14 11 2 3 5 6 7 8 9 11 11 46 48 53 45 46 49 43 52 43 42 1 1 2 2

Work out the range for each group of numbers 3 5 7 8 9 11 13 13 15 20 22 28 22 21 23 27 25 1 2 4 4 6 7 9 10 12 74 80 77 76 77 78 73 72 78 80

Here are the masses in kilograms of 2 groups of dolphins Use the medians to decide which group is heavier on average 100 150 200 Group A Group B

Find the modal golf score from this frequency table score 23456 freq 76456 modal score 2

Find the mode of each group of numbers 1 1 1 1 1 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5

Here are the weekly staff wages from 2 small internet companies A 260 300 330 360 730 B 160 160 240 240 320 360 400 400 Calculate the means Calculate the medians mean A median A Which company has the higher wages on average mean B median B 4 2 1

A golfer is practising at a particular hole The table shows how he scored score freq 2 3 4 5 6 83 25 One of the frequencies is missing but the total score for the practice was 93 Find the mode score 2

Frequency 4 1 0 Scores in a game 1 2 3 4 5 6 5 6 Score What is the mode score for this game

Use the pop up below to find the area under the standard normal curve from 0 to 2 00 Click the icon to view the area under the standard normal curve table What problem solving method should be used A The Analogies Principle B Draw Pictures C Relate a New Problem to an Older One OD Be Systematic The area under the standard normal curve from 0 to 2 00 is Round to four decimal places as needed

In order to join a social and educational club for tall people women must be at least 5 ft 6 in tall Assuming that the heights of adult women are approximately normally distributed with mean 62 in and standard deviation 2 in what z score is required for membership in the club The Z score required for membership is Type an integer or a decimal CITE

Assume that in a men s basketball league the distribution of heights has a mean of 6 feet 8 inches and a standard deviation of 5 inches If there are 336 players in the league how many players should be over 7 feet tall Click the icon to view the area under the standard normal curve table Of the 336 players approximately are over 7 feet tall Round to the nearest whole number as needed

Due to random variations in the operation of an automatic coffee machine not every cup is filled with the same amount of coffee Assume that the mean amount of coffee dispensed is 8 ounces and the standard deviation is 0 5 ounce Use the 68 95 99 7 rule to complete the following a What percent of the cups should have at least 8 ounces of coffee b What percent of the cups should have less than 7 5 ounces of coffee a Approximately of the cups should have at least 8 ounces Type an integer or a decimal

Assume that math test scores are normally distributed with a mean of 300 and a standard deviation of 60 If you were to score 180 on this exam what percentage of those taking the test scored below you Click the icon to view the standard normal distribution table What percentage of those taking the test scored below you Round to two decimal places as needed

Imagine that for those who meditate daily the number of minutes in meditation has mean 32 and standard deviation 7 In a group of 100 such persons how many are expected to meditate more than 36 minutes per day Click the icon to view the table of z scores Of the 100 persons approximately will meditate more than 36 minutes per day Round to the nearest whole number as needed

LO4 5 Explain the idea behind the CAPM what is the beta LO4 5 Different classes of beta 0 0 1 1 cyclicality examples interpretation of beta Chapter 8 LO3 Be able to briefly explain each of the characteristics of common stock claim in income

K If the distribution of race times for a cross country race has a mean of 82 minutes and a standard deviation of 13 minutes what is the cutoff time for a runner to finish in the best 18 of the runners Hint The fastest runners have the shortest running times Click the icon to view the standard normal distribution table The cutoff for a runner to be in the top 18 the runners is Round to two decimal places as needed minutes

An internet provider has analyzed the amount of time its customers are online per session It found that the distribution of connect times has a mean of 36 minutes and a standard deviation of 13 minutes For this distribution find the raw score that corresponds to a z score of 1 4 The raw score is Type an integer or a decimal

C A COS a Yanda verilen AB geninde AB AC dir 12 13 oldu una g re sin RAC de eri kart r

Chapter 6

04 Diversification and portfolios what is it how does it work LO4 Systematic vs unsystematic risks What is it plus example

Given a mean standard deviation and a raw score find the corresponding z score Assume the distribution is normal mean 50 standard deviation 2 x 53 What is the corresponding z score Z

K The following table lists the number of years of education past high school and the annual income of six people Determine the linear correlation coefficient for the data and also determine whether we can be 95 or 99 confident that there is significant linear correlation between the two variables Years of Education Past High School Annual Income in thousands of 2 30 3 29 4 35 4 32 5 40 Click the icon to view the table of critical values for the linear correlation coefficient 6 C 39 The correlation coefficient between the two variables is r Round to four decimal places as needed Table of critical values a 05 950 878 6 811 7 754 707 666 632 602 576 553 532 514 16 497 17 482 18 468 456 n 4 5 Toolery STONES 8 9 10 11 12 13 14 15 19 01 999 959 917 875 834 798 765 735 708 684 661 641 623 606 590 575 504 X

WAL A normal distribution has a mean of 12 and a standard deviation of 3 Use the 68 95 99 7 rule to find the percentage of values in the distribution between 12 and 18 What is the percentage of values in the distribution between 12 and 18 KRIEB

A machine fills bottles with 64 ounces of liquid The quality control manager determines that the fill levels are normally distributed with a mean of 64 ounces and a standard deviation of 0 42 ounce He has an engineering recalibration machine in attempt to lower the standard deviation After recalibration the quality control manager randomly selects 19 bottles from the line and determines that the standard deviation is 0 38 ounce Is there less variability in the filling machine Use a 0 1 The null and alternative hypothesis would be 0 Ho 0 38 Ho p 64 Ho o 0 42 Ho p 0 38 Ho o 64 H 00 38 H 64 H o 0 42 H 0 38 H 0 64 O The test is left tailed two tailed right tailed Based on a sample of 19 bottles The test statistic is The D value is to 2 decimals to 2 decimals

54 of students entering four year colleges receive a degree within six years Is this percent smaller than for students who play intramural sports 111 of the 221 students who played intramural sports received a degree within six years What can be concluded at the level of significance of a 0 01 Use the p value approach a For this study we should use z test for a population proportion b The null and alternative hypotheses would be Ho p H P V please enter a decimal Please enter a decimal

The following table lists the number of years of education past high school and the annual income of six people Determine the linear correlation coefficient for the data and also determine whether we can be 95 or 99 confident that there is significant linear correlation between the two variables Years of Education Past High School Annual Income in thousands of 1 25 3 34 2 36 4 35 5 43 6 54 Click the icon to view the table of critical values for the linear correlation coefficient The correlation coefficient between the two variables is r Round to four decimal places as needed Table of critical values n 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 05 950 878 811 754 707 666 632 602 576 553 532 514 497 482 468 456 444 01 999 959 917 875 834 798 765 735 708 684 661 641 623 606 590 575 561 X

The accompanying table lists the ages and the time to complete a 5K road race for a sample of six runners Determine the linear correlation coefficient for the data and also determine whether it is possible to be 95 or 99 confident that there is significant linear correlation between the two variables Click the icon to view the table of critical values for the linear correlation coefficient Identify the problem solving method to be used Choose the correct answer below OA Draw Pictures OB The Three Way Principle OC Look for Patterns D Be Systematic The linear correlation coefficient between the two variables is r Round to two decimal places as needed Age 21 58 22 38 48 32 Time to Complete 5K in minutes 26 36 28 44 21 20 Table of critical values for the linear correlation coefficient n 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 a 05 01 950 999 878 959 811 917 754 875 707 834 666 798 632 765 602 735 708 684 661 641 623 606 590 1 576 553 532 514 497 482 468

3 Identify the correct statement for the quadratic y 4x 24x 2 a The optimal value is a maximum b The axis of symmetry is 3 c The optimal value is 3 d Both a b

5 Identify the correct statement for the quadratic y x a The vertex is 2 5 Alm b The optimal value is a minimum c The axis of symmetry is 2 d The y intercept is 5 Almay this X

2 A ball is thrown from a cliff and it can be modelled by the equation h t 0 5t 4t 25 where t represents the time since the ball has been thrown in seconds and h represents the vertical height the ball has travelled from its original location in feet a From what height is the ball thrown off the cliff 0 5 0 4 0 125 finding the height I decide for start 0 25 12 X At what time s is the ball at a height of 30 ft above the ground m solving to usc 07 o os the 1A a

9 For the following function f x 3x 18x 15 a Use the discriminant to describe the number of the roots 2 1 Discriminant formula 2 1 hac 5 O f x 3 x 18 x 1n 18 2 18 2 1 b 51 180 4 3 15 11 45 180 324 180

Differentiate y log5 x x d 6 log 5 x x

Find s t where s t represents the position function and v t represents the velocity function v t 18t s 0 10 s t

Distribution Date 11 02 2023 Due Date 11 06 2023 1 A soil element is shown in the figure below Determine the a Maximum and minimum principal stresses b Normal and shear stresses on the plane AB Use eqs 10 3 10 4 10 6 and 10 7 A 100 kN m 30 45 kN m 45 kN m B 60 kN m NOTE Show all the calculation steps

Suppose that the cost in dollars to produce a batteries is given by C x 0 00112 0 0011 0 43x 77x 1300 The price demand function for this type of battery is given by P 380 5x Calculate the marginal revenue marginal cost marginal average cost and marginal profit of the 14th battery R 13 C 13 C 13 P 13 Select an answer Select an answer dollars per battery dollars dollars per battery per battery Select an answer Select an answer

A competitive diver is competing for a medal His height in meters above the water can be modeled by the function f x 4 9x 14 7x 19 6 where x represents the time in seconds after he begins the dive Write an equation that can be used to find the time it takes for the diver to reach the water Solve that equation What domain makes sense for this scenario Write an equation that can be used to find the times the diver is 19 6 meters above the water Solve that equation Check your answer by graphing and finding f x 19 6

Consider the line with the equation 5y 2x 15 Give the equation of the line parallel to Line 1 which passes through 6 1 Give the equation of the line perpendicular to Line 1 which passes through 6 1 I

Score 33 75 55 39 55 answered Question 54 The cost C 2 where a is the number of miles driven of renting a car for a day is 49 plus 1 65 per mile What is the slope of the linear function and its units Select an answer B select the correct units What is the y intercept and its units Submit Question What is the linear function C x C a Select an answer select the correct units

Next question 76 54 3 2 Give the equation of each line in the 5 graphs below Make sure to scroll down to see all the graphs Give your answers in slope intercept form unless the line is vertical 7 6 5 4 3 2 6 430 to 2 4 2 2 3 4 5 6 B 7 y 64 4 324 4 2 23 Y 456 Get a similar question 12 45 6 You can retry this question below D The equation of the line is y 5x X 6 7 The equation of the line is 5y syntax error this is not an equation X X

Question 39 Sketch a graph of the linear equation y 1 5 4 3 2 1 5 4 3 2 1 Clear All Draw 1 2 3 4 5 1 2 3 4 5

Question 55 When you dive below the surface of the water the pressure increases You can feel this in your ears when you dive to the bottom of a deep swimming pool or spring The function that describes this relationship is 29 P d 14 5 d where d is the depth in feet below the surface of the water and P is the pressure 66 in pounds per square inch PSI What is the pressure at the surface of the water Select the correct units from the second box Select an answer feet PSI At what deparne pressure exactly double the pressure at the surface of the water Select the correct units from the second box Select an answer What is the pressure at a depth of 99 feet Use function notation in the first box and give the answer in the second box Select the correct units from the third box Select an answer e What is the pressure at a depth of 132 feet Use function notation in the first box and give the answer in the second box Select the correct units from the third box Select an answer Which of the following is the graph of the function P d 200 180 160 140 120 100 80 60 40 20 no 40 80 120 160 200 240 280 320 200 180 160 140 120 100 80 60 40 20 40 20 40 80 120 160 200 240 280 320

Question 52 Question Help Video Find the equation of the line through the points 6 61 and 3 20 in slope intercept form

Question 51 Write the equation for a line with the given characteristics If possible write the equation in slope intercept form 1 Passes through 12 20 and m 2