Binomial theorem Questions and Answers

The table shows the distribution of the number of motor vehicles per household Find the cumulative distribution for the table Use a value of 5 to stand for 5 or more vehicles No of Motor Vehicles mean 0 1 2 median mode 3 4 5 or more Proportion 0 18 0 23 0 31 0 17 0 08 0 03 Cumulative Percent motor vehicles motor vehicles Find the mean median and mode for the table If an answer does not exist enter DNE Round your mean to two decimal places motor vehicles

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A newly discovered isotope has a half life of 7 days Initially there are 22 grams of the isotope a Find the function P t which gives the number of grams of the isotope after t days P t grams b Estimate the number of grams of the isotope after 12 days Round to two decimal places grams c Estimate the number of days it will take for the isotope to reach 3 grams Round to two decimal places

Nov 12 to have up to 5 marks added to your description assignment grade See complete details on Blackboard Assignments SCENARIO Your new employee has just sent you this work order There are several issues with it How many can you find List the 4 most significant issues you 2400 Dufferin Street Toronto 416 856 8569 Item Filter Condition Wiring Connections Compressor Amp rate Pas Liquid OVERALL TECHNICIAN CON

How many ways can a teacher select a group of 6 students to sit in the front row if the class has 14 students Your answer

Miguel is judging an essay contest He has to select the best second best and third best If there are 13 essays entered how many ways could he choose the top essays

Dwight is packing for a vacation He is deciding which books to bring He wants to bring one book from each genre Given he has 2 science fiction 5 business ethics and 9 beet farming books how many unique combinations of books could be bring with him Your answer is

How many ways can a teacher select a group of 3 students to sit in the front row if the class has 10 students

Use the Laplace transform table and the linearity of the Laplace transform to determine the following transforms 1 L 6e 3t t2 2t 8 2 L 5 e2t 6t 3 L t 3t e4t cost

State what kind of correlation if any the scatterplot to the right indicates Choose the correct answer below OA The scatterplot indicates a negative correlation OB The scatterplot indicates a positive correlation OC The scatterplot does not indicate any correlation 30 20 10 0 0 A 10 20 H 30 2 40 50 60 Q o

Question 1 Why is it important for first responders to have knowledge of autism Question 2 How can understanding autism affect how first responders handle emergency situations Question 3 What specific strategies can first responders use when interacting with individuals with autism

etermine the amount of money that needs to be deposited 5 years from now to withdraw 6 000 per year for 7 years beginning 6 years from now if the interest ate is 6 per year 27 805

Suppose that the annual rainfall in Ferndale California is known to be normally distributed with a mean of 35 5 inches and a standard deviation of 2 5 inches About 2 3 of the years the annual rainfall will exceed how many inches Round your answer to one decimal place in y Lee Photography CORBIS

The diameter of an electric cable i normally distributed with a mean of 0 9 inch and a standard deviation of 0 01 inch What is the probability that the diameter will exceed 0 91 inch You may need to use the standard normal distribution table Round your answer to three decimal places

A normal distribution has a mean of 85 5 and a standard deviation of 4 83 Find the data value corresponding to the value of z given Enter your answer to four decimal places z 3 49

3 Current financial and capital accounts Consider the following table showing hypothetical balance of payments data for the United States Complete the table by selecting the correct value for each missing entry Current Account U S merchandise exports U S merchandise imports Merchandise trade balance U S service exports U S service imports Services balance Goods and services balance Net investment income from abroad Net unilateral transfers Current account balance Capital and Financial Account Change in U S owned assets abroad Change in foreign owner assets in the U S Capital and financial account balance Statistical discrepancy Trade balance Balance of Payments Billions of dollars 70 67 70 were 2 8 40 42 According to the table the United States is running a trade 35 38 30 Suppose an American business owner purchases chocolates from Belgium in order to sell them in her shops This would be entered as a item under the section of the U S current account 0 The current account balance suggests that U S current account transactions created outpayments of foreign currencies from the United Sta the inpayments of foreign currencies to the United States Any surplus or deficit in one account must be offset by deficits or surpluses in other balance of payments accounts Because the current ac the excess of foreign currency held by Americans must either be loaned to foreigners or used to buy foreign stocks or bond

Draw a stem and leaf plot for the data set Enter numbers from smallest to largest separated by spaces Enter NONE for stems with no values Data set A The annual wages of employees at a small accounting firm are given in thousands of dollars 16 25 24 31 37 50 22 32 32 60 23 31 16 1 2 3 4 5 6

What percent of the total population is found between the mean and the z score given Use the standard normal distribution table and enter your answer to two decimal places z 3 32

Goodwin 13 The profit of a candy store can be modelled by the following equation P n 3n 48n 45 where n is the number of candy bars sold in thousands and P is the profit in hundreds of dollars a Determine the number of candy bars that need to be sold to make a maximum profit

Given probability and mean and standard deviation for a normal distribution find z and confidence interval 7 3 a Intelligence quotient on a given test is normally distributed with a mean of 100 and a standard deviation of 10 Find the confidence interval for the intelligence quotient for the middle 95 of the population b Conifer tree ring widths in the rainforest of Washington are approximately normally distributed If the mean is 12mm and has a variance of 16 find a 98 confidence interval for the width of a conifer tree ring in a Washington state rain forest c We will assume the distribution of gestational blood glucose is approximately

Match every term with correct definition a Leg Length b Face Toes Depth of Penetration Puddle Tack Weld Fillet Weld T Joint C d e f Butt Joint Edge Joint Lap Joint Corner Joint k 1 Root m Weld Gauges h i j 28 The top exposed visual surface of the weld 29 A weld used to hold two pieces of material together 30 Molten metal on the base material located where the electrode is directed 31 Weld Height from toes to root 32 Used to easily measure the weld size 33 Welding on the outside edge of two pieces parallel to one another 34 Joints two surfaced usually at a right angle 35 Edges of a weld 36 When two piece overlap each other 37 How much a weld melts into the base material 38 Bottom corner of a fillet weld 39 When to pieces are abutted to one another edge to edge 40 Welding on the outside corner

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

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

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

2 Services such as water electricity and heating

1 point J J J 81 Given L 200 ft equal tangent parabolic curve with g 1 25 g2 1 25 VPI station 146 00 and VPI elevation 1 895 00 ft Compute stationing of BVC 146 00 147 00 145 00 155 25

A farmer wishes to enclose two identical adjoining rectangular pens against the side of a large barn both pens touch the barn She wants each pen to have an area of 600 square feet and will use the barn as one side of the enclosure What is the least amount of fencing needed in feet to create the two pens The least amount of fence required is ft NOTE enter an answer that is correct to at least three decimal places or an exact value

1 Which rational function has the given graph 3r 4 A 4 X

d 0 5a 18a 9 e 6x 54 0 f 0 8n 20z

15 a For the function f n 2n 7 determine n when i f n 11 ii f n 6 b For the function g x 5x 1 determine x when i g x 41 ii g x 16 Th

2 Translate the following statements into coordinate points a f 1 1 b h 2 7 c g 1 1 d k 3 9

Postulate 2 6 Plane Line Postulate If two points lie in a plane then the line containing them lies in the plane 2 7 Plane Intersection Postulate If two planes intersect then their intersection is a line Notes 1 If B Extra Practice In Exercises 1 and 2 state the postulate illustrated by the diagram then Example B ER Points D and E lie in plane R so DE lies in plane R The intersection of plane Sand plane T is line l

151 121 The solution is

point s possible A town is forming a committee to investigate ways to improve public safety in the town The committee will consist of three representatives from the six member town council three members of a five person citizens advisory board and three of the 12 police officers on the force How many ways can that committee be formed That committee can be formed in ways Submit quiz CIP 2

31 3 31 0 Simplify your answer Type an integer or a fraction

4 Determine whether or not the following 2 step methods satisfy the root condition If yes classify them as either strongly or weakly stable a The Leapfrog method W 41 Wi 12f t w h 1

ft tall Include a diagraff 3 10 radians from a roblem 5 The angle of elevation to the top of a flagpole measure by a digital protractor is point on the ground 72 feet away from its base Find the height of the flagpole Include a diagram distenco

8 5 Question 1 of 5 possible This question 6 point s possible R Round up to the nearest cent Submit quiz Find the monthly payment R needed to have a sinking fund accumulate the future value A The yearly interest rate r and the time t in years are given below Interest is compounded monthly A 7 000 r 4 5 t 3 2

How many different three digit numbers can be formed using the digits 7 4 5 and 1 with repetition For example 774 is allowed The number of different three digit numbers is possible www

2 Question 2 of 7 There are different call letters that can be formed Simplify your answer possible This question 5 point s possible Radio stations that are on the east side of a nation have call letters consisting of a W followed by two letters W can be used again How many different call letters of this type are possible Submit quiz 2

JARANTAMARAET Mamma s Pizza advertises a special in which you can choose a thin crust thick crust stuffed crust deep dish crust or cheese crust pizza with any combination of different toppings The ad says that there are almost 5 200 different ways that you can order the pizza What is the smallest number of toppings available Explain your thinking by referring to the fundamental counting principle The smallest number of toppings available is Type a whole number

List all the ways to select two different members from S without repetition The order in which members are selected is important For example AB is not the same selection as BA S L M N P Q Identify the list of all the ways to select two members from S Choose the correct answer below OA LM LN LP LQ MN MP MQ NP NQ PQ B LL LM LN LP LQ MM MN MP MQ NN NP NQ PP PQ QQ OC LN LP LQ MN MP MQ NP NQ OD LM LN LP LQ ML MN MP MQ NL NM NP NQ PL PM PN PQ QL QM QN QP

Use a calculator to evaluate an ordinary annuity formula nt A m A 1 F n 1 for m r and t respectively Assume monthly payments Round your answer to the nearest cent 150 6 35 yr

he population of a southern city is growing according to the exponential law Complete parts a and b a If N is the population of the city and t is the time in years express N as a function of t et No represent the initial population of the city and let k be a positive constant that represents the annual growth rate of the city s populatio t Type an exact answer in terms of e

13 57 A new study has found that on average 6 to 12 year old children are spending less time on household chores today compared to 1981 levels Suppose two samples representative of the study s results report the following summary statistics for the two periods 1981 Levels x 30 minutes s1 4 2 minutes n1 30 Which of the following is the correct value of the test statistic assuming that the unknown population variances are equal Multiple Choice Z 5 73 t59 5 73 t58 5 73 2021 Levels x 24 minutes 23 9 minutes n2 30 z 5 73

buoy floating in the sea is bobbing in simple harmonic motion with period 4 seconds and amplitude 11 in Its displacement from sea level at time t 0 seconds is 11 in and initially it moves upward Note that upward is the positive direction Give the equation modeling the displacement d as a function of time 1 d 0 R 2 16 Osin cos

Exercise 2 4 5 Find A when 4 a 3A 1 b 24 T 1 2 2 d 1 247 c 1 3A e f 3 10 21 22 1 1 8 AT 21 2 2 3 4

Distribution Date 10 19 2023 Due Date 10 23 2023 1 The hydraulic conductivity of a sand at a void ratio of 0 5 is 0 022 cm s Estimate its hydraulic conductivity of a void ratio of 0 7 equation 7 31 2 Given the following information of a layered soil 3 layers what is the ratio of equivalent permeability KH eq kv eq H 1 5 m H 2 5 m H3 3 0 m k 10 5 cm s k 3 0 x 10 3 cm s k3 3 5 x 10 5 cm s NOTE Show all the calculation steps

3 4 5 6 7 8 9 1 9 Anthony s parents have decided to reduce heat costs by installing new storm windows and adding insulation Anthony s parents offered him 10 for every storm window he installs and they owe him 25 for spreading the insulation He wants to earn more than 200 Write and solve an inequality to find out how many windows he must install Click on show your work to type or write your work Show Your Work

3 5 pts Identify Circle whether the following situations are binomial or not If they are identify n and p If they are not please explain why not Situation If so what are n and p If not why not We will draw 10 cards from a standard deck without replacement and count how many face cards we picked Binomial Not Binomial Not