Math - Others Questions

4 Use Stokes Law to calculate the terminal velocity of an apple released beneath the surface in a tank of water Assume the water has a temperature of 20 C and that the apple is a sphere The sphere has a diameter such that the volume of the sphere is equal to the volume of an apple with average dimensions of a Golden Delicious apple as shown in Table 2 1 The viscosity of the water is 1 01 x 10 kg m s and the density of the water is 998 kg m

Based on a poll 63 of Internet users are more careful about personal information when using a public Wi Fi hotspot What is the probability that among three randomly selected Internet users at least one is more careful about personal information when using a public Wi Fi hotspot How is the result affected by the additional information that the survey subjects volunteered to respond The probability that at least one of them is careful about personal information is Round to three decimal places as needed h

A B subset in R1 A B bounded A B x y lxEA y B prove that A B bounded and totally bounded

Identify which of these types of sampling is used simple random stratified systematic or convenience 49 students are selected at random from the Saphomore class 39 from the Junior Class and 48 from the Senior Class A sample consists of every 20th student who leaves the library A pollster uses a computer to generate 500 random numbers then interviews the voters corresponding to those numbers A researcher interviews 19 work colleagues who work in his building Systematic Convenience Stratified Simple Random SP 4

Which of the following is true about a weak positive correlation The points on the scatterplot fall into a broad swath that slopes downward The points on the scatterplot fall into a fairly tight line that slopes downward The points on the scatterplot fall into a broad swath that slopes upward The points on the scatterplot fall into a fairly tight line that slopes upward

Identify the variables as either Qualitative or Quantitative The population of a town The colors of the houses in a city Flavor names of ice cream at Baskin Robbins

The value of r 0 9 indicates a stronger relationship than a value of r 0 5 True False

Find the unknown lengths for the similar triangles below 8 Y X 22 5 ft 15 ft a 61 20 ft 25 ft ft If needed round to 2 decimal places I ft If needed round to 2 decimal places a

For the study described below identify the sample A bank manager wants to know the average amount of time customers of his bank have to wait in line As such 300 customers were polled and asked their average wait time at the bank Of these 27 were extremely dissatisfied with the amount of time they had to wait in line in recent months The 27 people who were dissatisfied The customers who were waiting in line All of the bank customers The 300 customers polled

For the study described below identify the population 1500 American women working for companies were polled to determine the percentage that felt that women were under represented in management positions in their company All American women working for large companies All American women The 1500 American women polled O The percentage of American women working for large companies

Find the LCD of the following expressions Write LCD in factored form 3 g 11g 30 LCD and 5g g 5g 6

3 5 m I y lengths for the similar triangles below 10 5 m 13 5 m Q 4 9 m y X m If needed round to 2 decimal place m If needed round to 2 decimal place a

Determine the parent function from which the graph of the function shown below can be otained identify each transformation that can be applied to the parent function in order to obtain the grap function shown below g x 5 6 a Choose the correct parent function 6 5 G 5 Oy Oy 1 Oy logg x Oy loga z OF V b Choose the correct transformation Reflections Select an answer c Choose the correct transformation Stretches Compressions Select an answer d Choose the correct transformation Vertical Shifts Select an answer con below e Choose the correct transformation Horizontal Shifts Select an answer

atch the formula of the exponential function to its graph Graphs of Exponential Functions P 5 435 4 3 54 5 4 3 2 1 4 2 3 4 54 54 4 22 3 2 A 2 3 4 1 54 54 4 3 2 3 2 1 2 2 13 2 3 4 5 Formulas for the Graphs 2 f x 1 b f x 2 c f x 2 d f x

sin 0 Question Help Video 7 If cos 0 and is in the 4th quadrant find the exact value for sin 0 8

Question 2 4 The point P is on the unit circle If the y coordinate of P is 5 Question Help Video and P is in quadrant III then

The value of a particular investment follows a pattern of exponential growth In the year 2000 you invested money in a money market account The value of your investment t years after 2000 is given by the exponential growth model A 5 40000 nitially invest in the account OA 2 700 O B 297 OC 5 400 O D 5 705

write an expression describing all the angles that are coterminal with 259 Please use the variable k in your answer Give your answer in degrees but do not include a degree symbol in your answer degrees

Convert the angle 5T 4 Submit Question 5T 4 n from radians to degrees

Find an angle between 0 and 360 that is coterminal with the given angle 674 is coterminal to 247 is coterminal to 755 is coterminal to 5203 is coterminal to

Question 8 18 Convert to degrees 7 Convert 758 to radians

Question 4 A sector of a circle has a central angle of 150 Find the area of the sector if the radius of the circle is 9 cm

Question 2 Convert the angle 4x 3 from radians to degrees

Question 3 Convert the angle 150 to radians Give the exact value and use pi for

Question 3 Convert the angle 150 to radians Give the exact value and use pi for

1 Draw the graph of f z TOE 6 9 18 65 432 WA 9 in ON N da S 40

Question 2 The half life of Radium 226 is 1590 years If a sample contains 100 mg how many mg will remain after 2000 years mg Give your answer accurate to at least 2 decimal places

Question 5 A wooden artifact from an ancient tomb contains 20 percent of the carbon 14 that is present in living trees How long ago to the nearest year was the artifact made The half life of carbon 14 is 5730 years years ele Video G

Question 16 Give yo V A population of bacteria is growing according to the equation P t 0 11t 1650e Use a graphing calculator to estimate when the population will exceed 3022 inc

Driver The following data summarizes results from 866 pedestrian deaths that were caused by accidents If one of the pedestrian deaths is randomly selected find the probability that the pedestrian was intoxicated or the driver was intoxicated Pedestrian intoxicated not intoxicated intoxicated 88 206 not intoxicated 54 518 Points 0 of 2 P pedestrian was intoxicated or driver was intoxicated Round to three decimal places as needed Save

Responded Refused 18 21 74 12 The table below summarizes results from a study of people who refused to answer survey questions If one of the subjects is randomly selected what is the probability that the selected person refused to answer Does the probability value suggest that refusals are a problem for pollsters Age 22 29 256 21 30 39 246 34 40 49 137 27 50 59 139 36 O 60 and over 203 58 The probability that a randomly selected person refused to answer is Do not round until the final answer Then round to three decimal places as needed Points 0 of 2 Save

Points 0 of 2 In a computer instant messaging survey respondents were asked to choose the most fun way to flirt and it found that P D 0 610 where D is directly in person If someone randomly selected what does P D represent and what is its value What does P D represent OA P D is the probability of randomly selecting someone who did not participate in the survey OB P D is the probability of randomly selecting someone who did not have a preference in regards to the most fun way to flirt O C P D is the probability of randomly selecting someone who does not choose a direct in person encounter as the most fun way to flirt D P D is the probability of randomly selecting someone who chooses a direct in person encounter as the most fun way to flirt

Determine whether the two events are disjoint for a single trial Hint Consider disjoint to be equivalent to separate or not overlapping Randomly selecting a car from the vehicle assembly line and getting one that is free of defects Randomly selecting a car from the vehicle assembly line and getting one with a dead battery Choose the correct answer below its 0 of 2 OA The events are disjoint The first event is the complement of the second OB The events are not disjoint The first event is not the complement of the second OC The events are disjoint They cannot occur at the same time OD The events are not disjoint They can occur at the same time

Perform the indicated operation and simplify the result so that there are no quotients 2 sin t cos t The simplified form with no quotients of 2 sint cos t is Do not factor

What is wrong with the expression P A P A 0 5 Choose the correct answer below O A Based on the rule of complements the sum of P A and P must always be 1 so that sum cannot be 0 5 B Based on the rule of complements the sum of P A and P A must always be P A O C Based on the rule of complements the sum of P A and P A must always be P A O D Based on the rule of complements the sum of P A and P A must always be 0 so that sum cannot be 0 5

0 10 pts 3299 Write an expression of the type A log x B or A log x B for the transformed logarithmic function shown below 6 5 4 3 2 1 6 5 4 3 2 1 1 2 3 4 5 6 1 2 3 Details 4 5 16 f x Hint Use the vertical asymptote to find B To solve for A use a point on the graph and substitute the coordinates into y A log x B or y A log x B as appropriate

Draw a tree diagram for spinning Spinner A one time Use the diagram to find the number of possible outcomes Spinner A Choose the correct tree diagram below O A O C 1 O B 123 X OD

Two dice are tossed Find the probability of getting the sum of the dice equal to 4 Hint Draw a tree diagram of the possibilities of two tosses of a die and then find the sum of the numbers on each branch The probability of getting a sum of 4 is Type a whole number or a simplified fraction

a Use the definition given below with right endpoints to express the area under the curve y x from 0 to 1 as a limit The area A of the region S that is bounded above by the graph of a continuous function y f x below by the x a and on the sides by the lines x a and x b is the limit of the sum of the areas of approximating rectangles f x Ax lim nia A lim R lim f x Ax f x x 11e 71 1 f x Ax lim n n1x2 b Use the following formula for the sum of cubes of the first n integers to evaluate the limit in part a 1 2 3 n n 2

Use the given spinner to draw a tree diagram for spinning the spinner once Then use the diagram to find the number of possible outcomes Choose the correct tree diagram below OA A B OB ABCDE O C A BO D O D A B

The area A of the region S that lies under the graph of the continuous function is the limit of the sum of the areas of approximating rectangles A lim R lim f x Ax f x x f x Ax ni Use this definition with right endpoints to find an expression for the area under the graph of f as a limit Do not evaluate the limit f x 9x cos 9x 0 x A lim n i 1 K 2

A couple buys a 150000 home making a down payment of 15 The couple finances the purchase with a 15 year mortgage at an annual rate of 3 81 If the couple decides to increase the monthly payment to 1000 find the number of payments

Minh a psychology student kept a record of how much time she spent studying for each of her 20 point psychology quizzes and her score on each quiz Hours Spent Studying 0 50 0 75 1 00 1 25 1 50 1 50 1 75 2 00 Quiz Score 10 12 13 14 15 18 18 19 A When Minh studied 1 25 hours her quiz score was 14 OB When Minh studied 1 25 hours her quiz score was less than 14 OC When Minh studied 1 25 hours her quiz score was 1 25 14 c Create a scatter diagram of the paired data Choose the correct scatter diagram below A OB Quiz Score 20 Quiz Score O C 0 0 2 Hours Spent Studying Points 1 45 of 2 20 0 Hours Spent Studying G 17 og and O D Outz Score 204 0 0 2 Hours Spent Studying 20 of Hours Spent Stutying Q Q Save

Expand the binomial by using Pascal s Triangle to determine the coefficients 2v 3 5

Graphs of Logarithmic Functions 3 2 54321 5 2 3 4 54 4 3 2 1 5 4 3 2 1 4 2 3 4 54 5 4 3 2 1 5432 1 24 3 5 2 1 2 3 4 5 Formulas for the Graphs a f x log x b f x log x x logi x d f x log x

The table shows the worldwide box office in billions of dollars for the movie industry during the years shown Year 2000 2002 2004 2006 2008 Box office in billions of dollars 22 1 24 5 25 7 26 8 28 5 2002 24 5 Type an ordered pair What is the ordered pair that corresponds to the third row of data given in the table 2004 25 7 Type an ordered pair What is the ordered pair that corresponds to the fourth row of data given in the table 2006 26 8 Type an ordered pair What is the ordered pair that corresponds to the fifth row of data given in the table 2008 28 5 Type an ordered pair b Write the meaning of the ordered pair 2008 28 5 Choose the correct answer below OA In the year 2008 the worldwide box office was less than 28 5 billion OB The worldwide box office was equal to 2008 28 5 billion OC In the year 2008 the worldwide box office was 28 5 billion more than the previous years 503 5 billion

Minh a psychology student kept a record of how much time she spent studying for each of her 20 point psychology quizzes and her score on each quiz Hours Spent Studying 0 50 0 75 1 00 1 25 1 50 1 50 1 75 2 00 Quiz Score 10 12 13 HASBB9 14 15 18 18 19 vvnat is the orderea pair that corresponds to the fifth row of data given in the table 1 5 15 Type an ordered pair What is the ordered pair that corresponds to the sixth row of data given in the table 1 5 18 Type an ordered pair What is the ordered pair that corresponds to the seventh row of data given in the table 1 75 18 Type an ordered pair What is the ordered pair that corresponds to the eighth row of data given in the table 2 19 Type an ordered pair b Write the meaning of the ordered pair 1 25 14 Choose the correct answer below O A When Minh studied 1 25 hours her quiz score was 14 OB When Minh studied 1 25 hours her quiz score was less than 14 OC When Minh studied 1 25 hours her quiz score was 1 25 14

Construct a scatter diagram using the data table to the right This data is from a study comparing the amount of tar and carbon monoxide CO in cigarettes Use tar for the horizontal scale and use carbon monoxide CO for the vertical scale Determine whether there appears to be a relationship between cigarette tar and Co Construct a scatter diagram O A 20 16 12 ACO 0 4 8 121620 8 4 0 Tar OB ACO 20 16 12 8 4 Tar 0 0 4 8 121620 CE O C 20 16 ACO 12 8 4 0 0 4 8 121620 Tar Q Q Tar 16 10 1 12 5 CHRIFT CO 15 12 11 O D ACO 20 96260 16 123 8 45 0 Tar 10 8 16 18 10 Tar 0 4 8 121620 OFFEN CO 10 11 17 18 12 Full data set Tar 2 THS66 9 11 9

0 10 pts 3299 Details dentify the domain of the following functions a f x log 2x 3 Domain b f x ln 7x 7 Domain c f x log5 6x 7

Minh a psychology student kept a record of how much time she spent studying for each of her 20 point psychology quizzes and her score on each quiz Hours Spent Studying 0 50 0 75 1 00 1 25 1 50 1 50 1 75 2 00 Quiz Score 10 12 13 14 15 18 18 19 G a Write this paired data as a set of ordered pairs of the form hours spent studying quiz score What is the ordered pair that corresponds to the first row of data given in the table Type an ordered pair