Binomial theorem Questions and Answers

A variable rate mortgage means The interest rate is not fixed The interest rate is fixed for five years The rate is not subject to change Larger monthly payments than a fixed rate None of these

a If n independent trials result in no successes why can t we find confidence interval limits by using the methods described in this section b If 40 couples use a method of gender selection and each couple has a baby girl what is the 95 upper bound for p the proportion of all babies who are boys a Choose the correct answer below A The requirement of dependent trials is not satisfied so the normal distribution cannot be used B The requirement of at least 5 successes and at least 5 failures is not satisfied so the binomial distribution cannot be used C The requirement of dependent trials is not satisfied so the binomial distribution cannot be used D The requirement of at least 5 successes and at least 5 failures is not satisfied so the normal distribution cannot be used b The 95 upper bound for p the proportion of all babies who are boys is Round to three decimal places as needed n

K fly selected 45 say job applicants should follow up within two weeks If 8 human resource managers are randomly selected find the probat exactly 6 of them say job applicants should follow up within two weeks The probability is Round to four decimal places as needed

Nancy wants to invest 2000 in saving certificates that bear an interest rate of 7 75 per year compounded semiannually How long a time period should she choose to save an amount of 3000 Round your answer to two decima places x yr

Solve the equation Enter your answers as a comma separated list 26 64 6 0

Editors plan review and revise content for publication Although most editors work in offices a growing number now work remotely from home The work can be stressful because editors often have tight deadlines Proficiency with computers and a bachelor s in communications journalism or English are typically required to become an editor The median annual wage for editors was 54 890 in May 2014 SOURCE Bureau of Labor and Statistics U S Department of Labor Occupational Outlook Handbook 2016 2017 Edition Editors Editors review story ideas and decide what material will appeal most to readers Editors evaluate submissions from writers to decide what to publish They also typically allocate space for the text photos and illustrations that make up a story A local newspaper is planning a 5 part series of articles on gun control The editor has received 19 submissions from his writers He must decide which articles to publish and the sequence in which to publish them How many different options are there for the editor to consider

ollowing histogram shows the results of a personality questionnaire Use this histogram to answer the questions 35 Personality Questionnaire 30 25 Frequency 00 15 10 26 12 12 16 10 25 25 11 0 1 5 5 5 9 5 13 5 17 5 21 5 25 5 Scores

Let p be a non umbilical point on a surface S in R then we have seen in a neigh bourhood of p we have a local coordinate chart U x x on which the first and second fundamental forms can be diagonalized simultaneously I 911 da 922 da 2 II h11 dr h22 dx Please use the Cartan s structure equations to derive the following a Codazzi equation Let A11 principle curvatures then a log 911 hi and A22 922 h22 A11 and A22 are just the 02 A11 1 A22 a log

4 7 4 7 7 9 11 The range is 7 Simplify your answer The standard deviation is Round the final answer to the nearest hundredth as needed Round all intermediate values to the nearest hund as needed

b The Bank of NOLA offers personal loans of 35 000 to its customers at an annual nominal rate of 12 compounded every month The loan must be paid off with monthly payments of 502 15 How many years will it take a customer to pay back the loan

Fill in the blank with an appropriate word phrase or symbol s The symbol for n factorial is The symbol for n factorial is n n n

The histogram to the right illustrates the number of points scored per game by a certain basketball team in a recent season In what point range did the lowest number of scores for this team lie Choose the correct answer below OA 90 99 OC 80 89 OE 120 129 OB 110 119 OD 100 109 OF 70 79 Number of Games 30 20 10 70 79 80 89 90 99 100 109 110 119 120 Number of Points

Translate to an equation and solve 2 6 of what is 27 3 2 6 of is 27 3 Simplify your answer

Simplify 16 4 Select the correct choice below and fill in any answer boxes in your choic OA 16 4 Simplify your answer OB The answer is undefined

Simplify 4 8 7 www 4 8 7

3 Which one of the following degree sequences cannot represent a simple graph O 1 2 2 3 O2 4 3 3 O 2 2 2 2 O 3 3 3 3

Which one of the following correspond to statement Every comedian is funny where C x is the statement x is comedian and F x is the statement x is funny and the domain consists of all people Choose ONE option Ox C x F x Vx C x F x Or C x F x

Find fogo h f x x 4 g x x 8 h x x

The graph of y K x is given a Write the domain of K b Write the range of K 4 dr sfy K x

Review for Test 2 Sections 1 6 to 2 4 Question 9 of 29 1 point 1 Question Attempt 1 of Unlimited 1 2 Given the functions f x 5x Evaluate the function 64 2 IS 3 g x x 3 4 DO Undefined 5 G 1 h x 17 6 7 8 2 for x 2 Write your answer as an integer or simplified fraction Select Undefined If applicable 9 10

Use the compound interest formula for continuous compounding to determine the accumulated balance after the stated period A 6 000 deposit in an account with an APR of 6 3 compounded continuously for 9 years O A 10 577 82 OB 6 390 16 O C 4 869 19 D 10 398 02

14 2 Design a bearing plate of A36 steel to support a beam reaction consisting of 28 kips dead load and 56 kips live load Assume that the bearing plate will rest on concrete with a surface area larger than the bearing area by an amount equal to 1 inch of concrete on all sides of the plate The beam is a W30 X 99 with Fy 50 ksi and the concrete strength is f 3 ksi a Use LRFD b Use ASD

21 01 42 21 Which of the following is a tax i A 1 percent special sales tax for funding local road construction ii A fee paid to the state for a license to practice as an attorney iii An income tax imposed by Philadelphia on persons working within the city limits iv A special property assessment for installing a new water system in the taxpayer s neighborhood Multiple Choice Only III is correct Only I is correct I and III are correct Only IV is correct

Simplify the expression x y 6 x 4 What s the sum of the coefficients of x and x

An athlete puts a 16 lb shot at an angle of 45 to the horizontal from 6 ft above the ground at an initial speed of 42 ft sec How long after launch and how far from the athlete does the shot land The shot remains in the air for seconds Round to two decimal places as needed

4 Plot production function savings function and depreciation function in a slow model and graphically show the effects transition of steady state capital in following situations a Contractionary monetary policy real interest rate increases increased level of savings b Increase in the population growth rates c Increase in the technology paramotor

A random sample of 360 married couples found that 290 had two or more personality preferences in common In another random sample of 584 married couples it was found that only 26 had no preferences in common Let p be the population proportion of all married couples who have two or more personality preferences in common Let p be the population proportion of all married couples who have no personality preferences in common USE SALT a Can a normal distribution be used to approximate the p P distribution Explain The data constitute two independent n np the normal distribution can samples Calculating the following quantities n and n we see that all these quantities are greater than 5 be used to approximate the P P distribution b Find a 99 confidence interval for P Round your numerical values to three decimal places So P Enter your answer in the form lower limit to upper limit Include the word to