Math - Others Questions

For the Facebook data provided find the mean median and midrange for hours online week and number of friends in the sample using the appropriate Excel function or formulas Compare these measures of location Click the icon to view the data The mean for the number of hours online per week is 7 09 Type an integer or a decimal rounded to two decimal places as needed The median for the number of hours online per week is 6 Type an integer or a decimal rounded to two decimal places as needed The midrange for the number of hours online per week is 9 Type an integer or a decimal rounded to two decimal places as needed The mean for the number of friends is 188 10 Type an integer or a decimal rounded to two decimal places as needed The median for the number of friends is 120 Type an integer or a decimal rounded to two decimal places as needed The midrange for the number of friends is 275 Type an integer or a decimal rounded to two decimal places as needed Compare the measures of location for each data set In each case the is the lowest value while the is most susceptible to outliers while the is the highest This is because the is least susceptible to outliers 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Gender Hours online week Friends 1 female 2 male 3 female 4 female 5 female 6 male 7 male 8 female 9 female 10 female 11 male 12 male 13 female 14 female Student 15 female 16 female 17 male 18 female 19 male 20 female 21 male 7 15 10 13 12 11 5 9 9 6 4 5 3 4 5 6 4 5 6 4 6 90 500 400 110 380 450 250 260 100 240 50 70 50 150 70 80 120 60 150 280 90

7 A water molecule is made up of one oxygen atom O and two hydrogen atoms H The bonds between the oxygen and hydrogen atoms make the molecule triangular Calculate the angle formed at the oxygen molecule C 3 T2 pm picometre I H 96 pm 96 pm 151 8 pm 8 Two buildings are across the street from one another The shorter building is 18 m tall From the top of the shorter building the angle of elevation to the top of the taller building across the street is 400 and the angle of depression to the bottom of the building across the street is 420 How tall is the building across the street Draw a H

6 A group of mountain climbers are using trigonometry to determine the height of a mountain From point A the angle of elevation to the top is 29 A person is directly in front of point A and measures the angle of elevation to be 35 to the top of the mountain If point A and B are 8 2 m apart how high is the mountain C 3 T 2

3 Determine the unknown in each of the following triangles A 6 b a 18 36 4 Determine the measure of ZQ A 3 X 16 5 Determine the value of x in the following triangle A 3 R 8 2 75 10 11 124 3 10 1 28 1 Q

2 For each of the following triangles state the name of formula from above you would use to find the missing side length or angle K 6 a d 8 2 75 12 43 10 1 b e I X 27 3 41 77 X 15 c f 7 X 10 12 X 5

3 problem 3 2 6 b c e Find dfa s that accept the following languages a L ab a ab a aa b L abab aaa b c L aa abb

Pierre inherited 440 000 from his uncle and decided to invest the money He put part of the money in a money market account that earns 2 5 simple interest The remaining money was invested in a stock that returned 3 in the first year and a mutual fund that lost 2 in the first year He invested 10 000 more in the stock than in th mutual fund and his net gain for 1 yr was 2500 Determine the amount invested in each account

If a 3 6 5 1 and b 6 11 then b

8 Find an equation for the following graph TI 2 3

1 What is the remained when x4 4x 2x 3 is divided by x 1 Do not divide Support your answer with an explanation TI

The following table represents the highest educational attainment of all adult residents in a certain town If an adult is chosen randomly from the town what is the probability that they have a high school degree or some college but have no college degree Round your answer to the nearest thousandth High school only Some college Bachelor s degree Master s degree Total Age 20 29 Age 30 39 Age 40 49 Age 50 over Total 1156 976 1126 3658 1649 1352 4781 881 983 3848 598 2982 3909 15269 694 4380 400 810 828 576 2614 970 1156 1114 4366

8 Find an equation for the following graph TI 3 2 2 3x

5 Solve the following polynomial equation App a x54x x 4 0

6 Solve the following polynomial inequality App a 2x 1 x 2x

3 Factor the following K a 4x 4x 16x 16 b x 64

7 Find the equation for the family of quartic polynomials that have real roots of 3 order 2 and 2 2 APP

2 Divide and state the answer in quotient form App g x f x x 4x 2x 3 g x x 2

4 Determine the real roots for the following equation K a 5x 20 3x 48 0

Solve the following Exact ODE 3 2 x dy da y 4 X 1 x 0 Y Here is the basic variable y x is a function of a Y

ven m Zx 98 WZ YZ mZY 92 Find each measurement Y WX ZZ W Choose 0 Choose WZ ZW Choose Choose d the value of x Lines that appear to be tangent are tangent 12 12 P Z 9 Q

A The accompanying dataset from a survey on a social networking website provides data gathered from a sample of college students Create a scatter diagram showing the relationship between hours online week and friends Friends should be on the x axis and hours online week on the y axis What conclusion can you reach Click the icon to view the data Hours online week A 16 Friends 600 Hours online week B 16 Choose the correct answer below H Friends 600 Hours online week C 167 of MER Friends 600 OD Hours online week 16 Friends OA As the number of friends increases it appears that the hours spent online relatively decreases OB As the number of friends increases it appears that the hours spent online relatively increases OC The hours spent online increases until the number of friends reaches greater than 20 and then the hours spent online levels off OD There is no relationship between the hours spent online and the number of friends 600 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 female 2 female 3 male 4 male 5 female 6 female 7 female 8 male 9 female 10 female 11 female 12 female 13 male 14 female 15 male 4 10 8 15 9 3 7 3 12 2 6 2 3 66 100 400 320 500 260 80 90 250 110 30 80 30 300 240 150

Which of the following is a valid rule of inference bd V dd v bnd O 0 pv q qVr pr p g r pVg r d O FATP V q

Watch help video This season the probability that the Yankees will win a game is 0 56 and the probability that the Yankees will score 5 or more runs in a game is 0 59 The probability that the Yankees win and score 5 or more runs is 0 46 What is the probability that the Yankees would score 5 or more runs when they lose the game Round your answer to the nearest thousandth

Write the original maximization linear programming given the following initial simplex tableau S1 S2 S3 Z 1000 X1 X2 X3 1 2 3 2 3 1 2 5 6 1 0 0 0 48 4 0 1 0 0 82 2 0 0 1 0 56 0 1

1 Use the legend to indicate which formula would be required to solve for the unknown variable in the triangles below Record your answers in the table below T 37 56 Triangle Formula 15 30 19 50 1 N X 2 X 19 2 17 14 8 3 12 15 4 20 8 39 X 37 19 22 5 18 3 27 25 7 8 C T SL CL PT Pythag Theorem sin COS 8 tan Sine Law Cosine Law

Normal text Calibri 7 ol Q GO 2 Use the Cosine Law to determine the value of x in the following triangle 20 46 3 Use Sine Law to determine the value of x in the following triangle 17 30 56 X 37 4 From two different tracking stations a weather balloon is spotted from two different angles of elevation 510 and 750 respectively The tracking stations are 15 km apart Determine the distance from the balloon to the tracking station furthest away tE m

The sitting height of a person is the vertical distance between the sitting surface and the top of the head The accompanying table lists sitting heights mm of randomly selected U S Army personnel collected as part of a large reputable study Using the data with a 0 05 significance level what do you conclude Click the icon to view the sitting height data OA Ho Sitting heights are not affected by handedness H Sitting heights are affected by handedness OB Ho Sitting heights are not affected by an interaction between gender and handedness H Sitting heights are affected by an interaction between gender and handedness OC Ho Sitting heights are not affected by gender H Sitting heights are affected by gender CO OD Ho Sitting heights are affected by an interaction between gender and handedness H Sitting heights are not affected by an interaction between gender and handedness Determine the test statistic The test statistic is Round to two decimal places as needed Determine the P value The P value is Round to three decimal places as needed Determine the proper conclusion at the 0 05 significance level Choose the correct answer below Sitting Height Data Female Male Right Handed 856 879 874 786 898 945 908 901 913 947 Print Left Handed 870 857 886 845 811 1000 917 1031 914 978 Done OA Fail to reject Ho There is insufficient evidence to support the alternative hypothesis There appears to be an interaction between gender and handedness OB Reject Ho There is sufficient evidence to support the alternative hypothesis There appears to be an interaction between gender and handedness OC Fail to reject Ho There is insufficient evidence to support the alternative hypothesis There does not appear to be an interaction between gender and handedness X

A dentist causes the bit of a high speed drill to accelerate from an angular speed of 190 rad s to an angular speed of 322 rad s In the process the bit turns through 3 141 rad Assuming a constant angular acceleration how long did the drill take during this change Your Answer

Question 5 5 points Delia is flying a kite that is 23 m high above the ground The string of the kite is 30 m long What angle does the string of the kite make with the ground assuming that Delia is holding the string at ground level Include a diagram as part of your solution 5 marks Scan and upload your image of your diagram and work to google drive

Determine the unknown side length in each of the following decimal place X 5 6 6 5 6 5 7 8 Question 2 1 point Determine the unknown side length in each of the following right triangle to no decimal places 9 6 7 447 6

triangle AABC ZA 56 2C 63 and a 19 cm AND ANGLES 2 marks for each missing part Question 4 A flock of Canada geese are flying in a V formation that forms an angle of 68 The lead goose is 16 m from the last goose on the right and 21 m from the last goose on the left How far apart are the last two geese in the V formation 2 marks for sketch 2 marks for solve Question 5 Two cars leave Oshawa at the same time travelling on different roads Car A travels 50km and car B travels 45km At the end of the trip the two cars are 40km apart What is the angle between the two roads that the cars took leaving Oshawa 2 marks for sketch 2 marks for solve 153154

Find the measure of the unknown angle labelled as x in the following triangle Round to the nearest full degree P Q L 32 24 25 26 33 cm Question 2 2 points Find the measure of the unknown side length labelled as x in the following triangles Round to two decimal places M 33 m 48 42 cm 47 m N 1222 36 34 96 R

A 15 View hint for Question 3 Question 4 3 points Determine the unknown angles in the following right triangle

0 Reveals exceptional performance over and under performance on which to focus attention Analyzes the effectiveness of the recommended actions and feeds the decisions back to the operational systems and data warehouse against which Publish reports stage reporting will be conducted thereby closing the loop Seeks to understand the root causes behind the identified exceptions Provides standard operational and managerial 1 Publish reports 2 Identify exceptions 3 Determine causal factors 4 Model alternatives 5 Track actions

An exponential sequence G P has a positive common ratio If the sum to infinity of the sequence is 25 and the sum of the first 2 terms is 16 find the a fifth term b sum of the first 4 terms of the sequence

Thinking 6 marks a Sketch a graph for the polynomial function You must include all key features of polynomial graphs Indicate a scale f x x x 2 x 6 x 4 x 6 x 3 T4

X 3 2 1 O 1 2 IN 3 y 110 30 The function is cubic linear quadratic quartic 30 110 61 2 61 d

The function y x 2x 3 3x 4 3 is negative on the intervals Oxe and x 0 00 Oxe fo and re XE Ox and xc 1 XE XE 8 Oxef 00 and xe 0 3

The function y x 4 x 7 x 3 3 is negative on the intervals 3 4 and 7 infinity negative infinity 3 and 7 infinity negative infinity 3 and 4 7 3 4 and 4 7

f is continuous lim f x does not exist X4 2 f 2 does not exist lim f x f 2 x 2 d x 4 X f is continuous lim f x does not exist X 4 f 4 does not exist lim f x f 4 X 14 F

A fis continuous lim f x does not exist X 5 For each given x value use the figure to determine whether the function is continuous or discontinuous at that x value If the function is discontinuous state which of the three conditions that define continuity is not satisfied Select all that apply a x 5 f 5 does not exist f x f 5 sull b x 2 Ofis continuous X lim f x does not exist X 2 f 2 does not exist lim f x f 2 y f x 2 4 V

Consider the following p q 2q 9 3 a Find the derivative by using the definition p q b Find the instantaneous rate of change of the function at any value p q Find the instantaneous rate of change of the function at the value q 11 p 11 c Find the slope of the tangent at the value q 11

a b c 3 A 9 6 3 y f x lim f x X C lim f x x ct lim f x d f c X C X In the lithit is infinite enter o or co as appropriate If the limit does not otherwise exist en

For the given function find the average rate of change over each specified interval f x x x 12 a 0 2 b 4 10

Find the derivative of the function z 5t13 5 2t7 4 2 3

Write the equation of the tangent line to the curve at the indicated point As a check graph both the function and the tangent line y x 4x 10 at x 1

Suppose that the average number of minutes M that it takes a new employee to assemble one unit of a product is given by 38 33t 2t 7 where it is the number of days on the job M a Is this function continuous for all values of t Yes this function is continuous for all values of t O No this function is not continuous for all values of t Excellent b Is this function continuous at t 18 O Yes this function is continuous at t 18 No this function is not continuous at t 18 Nice job c Is this function continuous for all t 0 O Yes this function is continuous for all t 0 No this function is not continuous for all t 0 Nice job d What is the domain for this application Enter your answer using interval notation

Let f x 3x2 2x a Use the definition of derivative and the Procedure Example box in this section to find the derivative b Find the instantaneous rate of change of f x at x 1 c Find the slope of the tangent to the graph of y f x at x 1 d Find the point on the graph of y f x at x 1

A graph of y f x is shown and a c value is given Use the graph to find the following whenever they exist If the limit is infinite enter or as appropriate If the limit does not otherwise exist enter DNE C 20 y f x 20 V 10 10 20 10 a lim f x b f c y 10 30

Complete the table and predict the limit if it exists Round your answers to three decimal places If the limit is infinite enter o or as appropriate If the limit does not otherwise exist enter DNE f x 5 9 lim f x X 6 5 99 5 999 6 001 6 01 6 1 54 3x x x 6 f x