Basic Math Questions and Answers

A farmer is investigating the effects of his organic compost on the growth of his plants He uses regular soil for 30 of his plants and he uses the organic compost for another 30 plants He charts the plants growth over the course of two months Identify the following Control Group

Determine whether the statement is true or false If the statement is false make the necessary change s to produce a true statement Measures of dispersion get smaller as the spread of data items increases Choose the correct answer below OA True OB False Measures of dispersion are completely unrelated to the spread of data Oc False Measures of dispersion get smaller as the spread of data decreases OD False Measures of dispersion get larger as the spread of data decreases

2 One tool is chosen at random from the box It is then replaced A tool is selected again What is the probability that both selected tools were acceptable Are the events dependent or independent Explain

The Cobb Superintendent is modifying the student cell phone policy He chooses 5 out of the 17 high schools to participate and every student at those 5 chosen schools will be polled What type of sampling is this O Cluster Sampling O Convenience Sampling Stratified Random Sampling MASC

A farmer is researching the effectiveness of a pest control spray He divides his orchard into 5 sections He then inspects all the trees within 2 of those sections What type of sampling method is he using O Cluster Sampling O Convenience Sampling O Stratified Random Sampling O Systematic Sampling QUESTION 9 Good Housekeeping magazine wants to collect data on customers interests The September issue has a survey included for customers to fill out and then mail back to the magazine headquarters What type of sampling method is being used O Cluster Sampling O Convenience Sampling

Determine whether the following statement is true of false If the statement is false make the necessary change s to produce a true statement The sum of the deviations from the mean for a data set is always zero Choose the correct answer below www A The statement is false because the sum of the deviations from the mean for a data set is always negative B The statement is true OC The statement is false because the sum of the deviations from the mean for a data set is always positive OD The statement is false because the sum of the deviations from the mean for a data set is zero only when the mean of the data set is zero

OH O Ho O Ha QUESTION 3 Which symbol represents the population mean O x OH O Ho

5 The company produces 12 different types of tools Three types will be selected to create a tool set Part A How many ways can the set of 3 tools be selected Explain Part B Suppose 4 of the 12 types of tools are different types of screwdrivers If 3 tools are selected at random what is the probability that they are all screwdrivers

A community recreation center is organizing a cross country race 6 To raise money for the race organizers sell caps Item Profit Percent Sold T shirts and mugs The table shows data on sales in one month What is the expected profit if 100 items are sold Explain Cap 2 25 T shirt 3 50 Mug 1 75 35 40 25

4 Is P defective new the same as P new defective Explain

Find the standard deviation for the group of data items 10 11 12 13 14 The standard deviation is Round to two decimal places as needed

K Find a the mean b the deviation from the mean for each data item and c the sum of the deviations in part b for the following group of data items 132 136 143 146 148 a The mean is Simplify your answer b Complete the following table by entering the deviations for each data value 143 Data Item Deviation Simplify your answers c The sum of the deviations is Simplify your answer 132 136 146 148 MICHE

Which of the following describes the only difference between the direct and indirect methods of preparing the statement of cash flow Multiple Choice The way cash flows from financing activities are presented Whether a schedule of noncash Items needs to be presented The way cash flows from Investing activities are presented The way cash flows from operating activities are presented

Valdez Company sold land that had cost 48 000 for 60 000 cash Which of the following statements is true about this transaction Multiple Choice 60 000 would appear as a cash Inflow from Investing activities The 12 000 gain would be subtracted from net Income the operating activities section using the direct method The 12 000 gain would be subtracted from net Income in the operating activities section prepared using the Indirect method and 60 000 would be reported as a cash Inflow from Investing activities 2000 would annear as a cash Innow from Investing activities and 12 000 would be added in the operating activities section using the Indirect method

When using the Indirect method to complete the cash flows from operating activities section of the statement of cash flows what is the proper disposition of a loss on disposal of equipment Multiple Choice Add the loss to net income Disregard the loss because It relates to a financing activity Disregard the loss because it relates to an Investing activity Subtract the loss from net Income

TB MC Qu 12 46 Static What is the name given to the sum of What is the name given to the sum of the subtotals of the three sections operating activities Investing activities financing activities of the statement of cash flows Multiple Cholce O The amount of cash Inflow for the period The ending cash balance The net change in cash Net Income for the period

2 Find the solution if one exists for each of the graphs shown below that are representing different systems of linear equations A 11 Solution C Solution Co 8 4 10 3 7 405 B 11 10 9 Solution 1 2 D 300 00 80 70 40 50 40 30 20 10 of Solution 40 50

1 Determine if each system of equations below is linear or nonlinear B 2 3y 1 2x 0 1 1x 0 1y 1 2 A 9x 8y 9x 7y 8 8x Linear or nonlinear Nonlinear D 6y x 12 y x 1 x Systems of Linear Equations Linear or nonlinear G 0 2x 9 1y 9 1 x 7x 1 8 y Linear or nonlinear Linear or nonlinear Nonlinear E 45x y 12 y x 1 x Linear or nonlinear H 98317y 1010 2965x 71389y 5692x 1001 Linear or nonlinear C 2 7 3y X 2x 9 3y Linear or nonlinear Lincar F x 8y 81 x4 7y 32 Linear or nonlinear I 3 y 5 x 1 2y 3x 21 Linear or nonlinear

There are 16 squares and 4 circles What is the simplest ratio of circles to total shapes

What is the midrange and how is it obtained Choose the correct answer below M OA The midrange is a value that is representative of a data set It is found by adding the lowest and highest data values and dividing the sum by 2 3 The midrange is a value that is representative of a data set It is found by subtracting the lowest and highest data values and dividing the difference b OC The midrange is the average value of the data set It is found by subtracting the lowest and highest data values and dividing the difference by 2 OD The midrange is the average value of the data set It is found by adding the lowest and highest data values and dividing the sum by 2

Solve each triangle ABC that exists A 76 6 a 10 6 b 9 8

What is the median and how is it obtained Choose the correct answer below C OA The median of a data set is the data item in the middle of the ordered set To find the median first arrange the data items in order from smallest to largest If the number of data items is odd median is the data item in the middle of the list If the number of data items is even the median is the mean of the two middle data items OB The median of a data set is the sum of the data items divided by the number of data items To find the median first arrange the data items in order from smallest to largest If the number of da items is odd the median is the data item in the middle of the list If the number of data items is even the median does not exist OC The median of a data set is the sum of the data items divided by the number of data items To find the median first arrange the data items in order from smallest to largest If the number of da items is odd the median is the data item in the middle of the list If the number of data items is even the median is the mean of the two middle data items er of data items is even OD The median of a data set is the data item in the middle of the ordered set To find the median first arrange the data items in order from smallest to largest If the number of data items is odd th median is the data item in the middle of the list If the number of data items is even the median does not exist

In one common system for finding a grade point average or GPA A 4 B 3 C 2 D 1 F 0 The GPA is calculated by multiplying the number of credit ours for a course and the number assigned to each grade and then adding these products Then divide this sum by the total number of credit hours Because each course grade is weighted according to the number of credits of the course GPA is called a weighted mean Calculate the GPA for this transcript The grade point average is Round to the nearest hundredth as needed ww Grades B B B C

The weights to the nearest five pounds of 32 randomly selected male college students are organized in the histogram Use the graph to find the midrange weight The midrange weight is pounds Type an integer or a decimal Number of Students frequency 10 8 6 4 2 Weight of 32 Male College Students 100 105 110 115 120 125 130 135 140 145 150 155 Weight pounds Q P

n oil tanker breaks apart and starts leaking As time goes on the rate at which the oil is leaking out will diminish Suppose that t hours after the tanker breaks apart the oil is leaking out at a rate of R t million gallons per minute Then 9 the first 9 hours after the shipwreck million gallons of oil will leak out

1 DC 9 aircraft leaves an airport from a runway whose bearing is N46 E After flying for mile the pilot requests permission to turn 90 and head toward the southeast The permission is granted After 4 me airplane goes 1 mile in this direction what bearing should the control tower use to locate the aircraft What is the bearing that the control tower should use to locate the aircraft Do not round until the final answer Then round to the nearest tenth as needed

The accompanying data describes the earnings of 15 celebrities Complete parts a through d Click the icon to view the earnings of 15 celebrities a Find the mean The mean earnings of the 15 celebrities is Round to the nearest tenth as needed b Find the median million The median earnings of the 15 celebrities is Type an integer or a decimal c Find the mode or state that there is no mode Select the correct choice and if necessary fill in the answer box within your choice million OA The mode s is are million Type integers or decimals Use a comma to separate answers as needed OB There is no mode d Find the midrange The midrange of the earnings of the 15 celebrities is Type an integer or a decimal million Earnings of 15 Celebrities Celebrity Person 1 Person 2 Person 3 Person 4 Person 5 Person 6 Person 7 Person 8 Person 9 Person 10 Person 11 Person 12 Person 13 Person 14 Person 15 Print Earnings millions of dollars 560 170 106 104 102 98 97 94 89 87 86 85 82 81 80 Done

Find three cubed roots for the complex number 8 cos 15 isin 15 Answer in trigonometric form r cos 0 i sin 0 Where T 0 Note Enter A from last Preview and

Given the vector u angle in which the vector points measured counterclockwise 0 3 1 find the magnitude and from the positive x axis 0 0 2

What is a frequency distribution Choose the correct answer below www OA A frequency distribution is a type of data presentation The data values are listed in one column The adjacent column indicates the number of times each value occurs B A frequency distribution is a type of data presentation The first column contains the first part of each data item The second column contains the second part of each data OC A frequency distribution is a method in which each data item is assigned to a class The data are then counted according to which class they appear in OD A frequency distribution is a graph in which a circle is divided into parts whose sizes express the percentages of a sample that fall into particular classes

Suppose you are interested in whether or not the students at your high school would favor a grading system in which students may receive final grades of A A A B B B C C C and so on Describe how you might obtain a random sample of 100 students from the entire student population Choose the correct answer below OA Assign each student at the school a number write each number on a card and place all of the cards in a box Then randomly select 100 cards OB Determine the ten streets on which the most students at the school live Then select ten students from each street If fewer than ten students live on a street fill in the spot with a randomly selected student OC Post an advertisement requesting the assistance of 100 students Among the first 100 students to arrive select them in a random order OD Sort the students by their overall average grades Then select the 50 students with the best grades and the 50 students with the worst grades

The Richter magnitude of an earthquake M is related to the energy released in Ergs E E M 6log 1012 9 Find the magnitude of an earthquake which released 4x10 ergs 10 if an earthquake had magnitude 9 2 on the Richter scale how much energy in ergs was released Leave your answe in scientific notation

How many solutions does the equation 5 x 1 5x 5 have

That is a population What is a sample What is a population Choose the correct answer below A A population is the set containing all the people or objects whose properties are to be described and analyzed by the data collector B A population is a set of data OC A population is a group that exhibits characteristics typical of those possessed by the target sample D A population is the set of all the properties that can be assigned to any people or objects in a given sample What is a sample Choose the correct answer below A A sample contains one or many populations OB A sample is the set of all the properties that can be assigned to any people or objects in a given population OC A sample is obtained in such a way that every element in the population has an equal chance of being selected D A sample is a subset or subgroup of the population

Describe what is misleading in the visual display of data below Marijuana Use Among College Students in the Last 30 Days Never Used 29 3 Not in Last 30 Days 10 Used 1 9 Days 5 5 Used 10 29 Days 3 5 Used All 30 Days 1 7 Choose the correct answer below possible OA The chart is too small OB The title does not explain what is being displaye OC Colors on the chart are too light and distort the d OD The percentages do not add up to 100

Sunday by 11 59pm Points 15 Submitting an external tool Available Factor the greatest common factor of pol Question Find the GCF of the following three monomials 45x 6 y 5 99x 5 y 3 63x 4 y 4

Circles A and B are externally tangent PQ is a common external tangent If the radii of circles B and A are 8 and 12 cm respectively find the length of the tangent segment PQ Correct your answer to 2 decimal places

The level of significance can be any positive value can be any value is 1 confidence level can be any value between 1 96 to 1 96

Consider the following function def Mathfunction n a d if n 1 else return d Mathfunction n 1 a d Determine the output when the function is called with n 4 a 3 and d 2 9 7 return a 11 8

Suppose you are testing the null hypothesis 10 against the alternative u 10 The calculated test statistic value Zcalcupted is 0 89 What is the p value 0 3734 0 0934 1 225 0 8133 0 1867

farmer wants 150 pounds of fertilizer that is 12 nitrogen He has alread urchased fertilizer that is 50 nitrogen and some that is 5 nitrogen Ho uch of the 5 mixture should he use elect one O a 55 lb O b 360 lb O c 23 3 lb O d 126 7 lb

When the p value is used for hypothesis testing the null hypothesis is rejected if p value z Op value z p value a p value a

A test statistic of Z calculated 1 13 is computed for testing the hypothesis 10 against H u 10 From this we can conclude Reject the null hypothesis at 5 level of significance Reject the null hypothesis at 10 level of significance O Cannot reject the null hypothesis at 10 level of significance None of the above

3 A boat is broken down and needs to be towed into shore Two tugboats attached to the ship at the same point Assume that this point is at the origin of the Cartesian plane Tugboat A pulls with a force of 300 pounds at a 30 angle measured from the positive x axis Tugboat B pulls with a force of 400 pounds at a 60 angle measured from the positive x axis Find the magnitude and direction of the resultant vector Measure the angle from the positive x axis Round your answers to one decimal place

Given the sequence defined recursively by a Find a 3 3 and for any integer n 1 an 2an 1 4

eaving the Forum at 12 00 noon Caesar traveled west at 4 mph and Brut aveled east at 6 mph At what time were they 20 miles apart elect one a 3 20 p m b 4 00 p m c 2 00 p m d 5 00 p m

2 A plane flies at an airspeed of 550 miles per hour on a bearing of N 35 E An east wind wind from east to west is blowing at 30 miles per hour Find the plane s ground speed and direction Round your answers to one decimal place

During the summer Tamir likes to swim at his local pool a few times a week He is debating if he should buy a season pass that allows him to swim as many times as he wants or just pay each time he goes swimming The pool charges 4 50 each day if he pays each time The season pass is 207 which is good for the entire summer 91 days a Create a table to compare the two options by picking a set of inputs Number of Swim Days and calculating the corresponding cost of a season pass and cost of paying per day No Swim Days Cost of Season Pass Cost of Paying Per Day b How many times would Tamir have to swim to make the season pass less expensive than paying for each visit individually He would have to swim more than times

Read and try to solve the problem below There are 32 people on a field trip to the aquarium This includes 8 adults The expression 6 x 32 8 represents the cost in dollars to buy the students but not the 8 adults a 6 souvenir poster What is the total cost of the posters TRY IT 632 8

Draw a structured flowchart or write pseudocode that describes the process of guessing a number between 1 and 100 After each guess the player is told that the guess is too high or too low The process continues until the player guesses the correct number Pick a number and have a fellow student try to guess it by following your instructions