Basic Math Questions and Answers

Which statement is true OB OA A sample statistic can never be equal to the population parameter Point estimates are defined for both samples and populations OC To calculate a sample proportion we need to know the population size OD To calculate a point estimate we need to know the sample size

2 Chang a store employee asked each of 50 customers which 1 of 4 shirt colors the customer perferred The number of customers who preferred each color is given in the table below Color Number of customers Red White Blue Gray Total 525896 15 22 50 Chang will order 500 shirts in their proportions by color in the table How many graw shirts will he order Show Your Work A 8 B 16

Which statement about weight loss is NOT true A Fad diets are not a healthy way to lose weight B Losing weight too fast is not healthy C Losing weight will not decrease your health risks D You don t have to exercise strenuously to lose weight

Yolanda has a job transporting soft drinks by truck Her truck is filled with cans that weigh 14 ounces each and bottles that weigh U ounces each There is combined total of 800 cans and bottles in her truck Let x be the number of 14 ounce cans in her truck Write an expression for the combined total weight in ounces of the cans and bottles in her truck total weight in ounces 0 DO

A company that m jeans estimates that the profit for selling a particular style is given by the equation P 250x 1 505x 300 for 0 x 6 where P is profit in tens of thousands of dollars and x is the advertising expense in tens of thousands of dollars What does an x intercept mean in the context of the problem B C D the number of times the company spent zero dollars on advertising the profit when the company spent zero dollars on advertising the advertising expense when the company had the most profit the advertising expense when the company s profit was zero dollars

3 Identify the statement as true or false and justify your answer Plane M is perpendicular to line s through point Q Therefore it is the only plane perpendicular to s through point Q M 2 a False If a line is perpendicular to a plane any line perpendicular to that line at the point of intersection of the line and the plane is contained by the plane b True If a line is perpendicular to a plane any line perpendicular to that line at the point of intersection of the line and the plane is contained by the plane c True Given a point on a line there is one and only one plane perpendicular to the line through that point d False Given a point on a line there is one and only one plane pondia

30 Two transformations of quadrilateral PQRS are described below First transformation x y x 1 y 2 Second transformation x 1 y 2 x 1 2 y Which transformations were used on quadrilateral PQRS O a reflection over y axis then a translation O a translation then a reflection over x axis a translation then a reflection over y axis O a reflection over x axis then a translation

Find the minimum y value on the graph of y f x 2 f x x 10x 4 The minimum y value is y

Given AD CB Prove AADB ACBD Look at the proof Name the postulate you would use to prove the two triangles are congruent Given AD CB ZADB ZCBD Prove AADB ACBD AD CB Given ZADB ZCBD Given DB BD Reflexive Property of Congruence AAA Postulate SAS Postulate SSS Postulate AADB ACBD D A B

only the values of for which the is defined which of the following is equivalent to the expression below Considering expression cos tan csc sec B Select the correct answer below O tan pcos p O sec p

Astrid is in charge of building a new fleet of ships Each ship requires 40 tons of wood and accommodates 300 sailors She receives a delivery of 4 tons of wood each day The deliveries can continue for 100 days at most afterwards the weather is too bad to allow them Overall she wants to build enough ships to accommodate at least 2100 sailors What is the number of ships Astrid can build assuming she receives the maximum possible amount of wood

Yesterday Ivan went on a bike ride His average speed was 9 miles per hour Today he went on another ride this time averaging 12 miles per days he biked for a combined total time of 11 hours Let x be the number of hours he biked yesterday Write an expression for the combined total number of miles he biked in the two days

A researcher for the EPA measured the amount of arsenic in the water near a sewage treatment plant Over 12 days he took n 40 measurements in ppb His sample data is summarized in the frequency distribution polygon shown below 12 10 oog D to 19 30 35 40 45 50 55 60 65 70 75 80 ans Arsenic innh How many measurements taken in this time frame were within 45 50 ppb

2 Slope Intercept Form 3 Standard Form Find the slope of the line shown on each graph below 4 6 5 9 3 4 and 3 8 10 5 7 and 3 1 1 Find the slope of the line that passes through the two given points 7 2 1 and 4 7 8 2 3 and 6 13 Graph the equations below using slope intercept form 11 y 3x 8 2 3 4 12 y x 1 5 4 5 6 7 8 9 10

The sum of three numbers is 144 The third number is 6 less than the first The second number is 4 times the third What are the numbers First number Second number Third number 0 X S

1 Determine the amplitude A period P and phase shift PS of the function f x 7cos 9x O O A 9 P A 7 P A 7 P A 9 P 2f 27 P 9 2T 2T 2T PS 7 9 PS 0 0 PS 7 9 PS 0 0

O 4 3 The graph shows the line segment AB If Jadine draws the reflection of this line segment following the algebraic representation x y what are the new coordinates of point B O 3 4 O 4 3 A O 3 4 B

Tom is deciding whether or not he should become a member gym to use their basketball courts The membership cost is 135 Members pay 2 to rent out the basketball courts Non members can rent the court also but they have to pay 11 each time how many times would Tom need to rent the court in order for it be cheaper to be a member than a non member Enter a number only for your answer

Simplify and state the restrictions on the domain x 3 x 1 4 2 O x 1 2 x 3 x 3 x 1 2 3 Z 2 3 z 1 x 3 1 2 2 2 3 1 2 2 1 2 21 22 21 2 2 2 3 1 2 z2 3 1 2 z Question 4 x 3 2 2 x 1 272 21 2

Supervisor You are collecting email addresses from 74 customers per day which is emails per day about 90 of the daily goal of 67 80 81 82 83

01 34 49 Which statement best describes the difference between modality and format O The format used depends on the type of presentation whereas the modality gives the purpose O The format is the way information should be processed by the five senses whereas the modality is the way the information is organized O The modality used depends on the type of presentation whereas the format gives the purpose O The modality is the way information is designed to be processed by the five senses whereas the format is the way information is organized

Sketch an angle 80 in standard position such that 0 has the least possible positive measure and the point 0 3 is on the terminal side of 8 Then find the values of the six trigonometric functions for the angle Rationalize denominators if applicable Do not use a calculator Choose the correct graph below SOA Ay Q Q OB A Q 2 OC Ay Q Q 5

One method that can be used to prove that both pairs of opposite sides in a parallelogram are congruent is shown in the given partial proof Complete the proof Given Quadrilateral MNOP is a parallelogram Prove OP MN ON MP 3 21 5 9 Statements Quadrilateral MNOP is a parallelogram OP NM ON PM LONP LMPN LOPNLMNP NP NP AONP AMPN OP MN ON MP OP MN ON MP 1 2 3 4 5 6 7 Reasons P

All changes s 3 Appliance World places a markup on a washer dryer combination of 295 00 which is 35 based on cost Find the cost then the selling price What is the selling price of the washer dryer O 1 098 74 O 1 137 86 1 032 19

While warming up for a game two basketball players shoot balls in parabolic paths The path of the first player s ball can be represented by the function g x 2x 13x 7 where x represents the distance from the coach The path of the second player s ball can be represented by the function h x x 4x 21 Part A Find the distances in which the two basketball paths will cross Show all necessary calculations 4 points g x h x Part B Let f x Solve for f x in simplest form and determine all discontinuities 6 points

Aubrey recorded the low temperature in her home town each day for two weeks Her results in degree are 41 46 43 53 55 44 51 39 42 38 50 52 47 45 Which type of graph would best display whether there were more low temperatures in the 30 s 40 s O bar graph Oline plot Oline graph Ostem and leaf plot

At an amusement park the pendulum ride s movement from its starting position in meters can be represented by the equation f x 5cos 5 If x represents time measured in seconds since the ride first began at what times will the pendulum s movement be 10 meters from its starting position 5cos 2rn seconds 4rn seconds 2 2 n seconds 2r 4rn seconds

Greg and Josh want to go whitewater rafting in 3 weeks Josh is able to save the 480 he needs to go on the trip by saving the pay he received for 5 hours of work each week Greg must save 8 hours worth of pay each week in order to have enough money How much more money does Josh make than Greg a 10 b 12 C 14 d 20 Please select the best answer from the choices provided

The scatter plot shows the number of years of experience x and the amount charged per hour y for each of 23 dog sitters in Ohio a Write an approximate equation of the line of best fit for the data It doesn t have to be the exact line of best fit b Using your equation from part a predict the amount charged per hour by a dog sitter with 14 years of experience Note that you can use the graphing tools to help you approximate the line Amount charged in dollars per hour 22 20 18 16 14 12 10 8 6 2 0 y xx x 2 x X 4 6 X xx X x 8 10 12 14 x Years of experience x 16 18 20 22 A X 2 a Write an approximate equation of the line of best fit 0 b Using your equation from part a predict the amount charged per hour by a dog sitter with 14 years of experience 0 X

10 Pistons in car A are extending twice as long as pistons in car B Compare the graphs of the piston extension of car A to the graph of the piston extension of car E over time O The amplitude of the graph for the pistons in car A is half the amplitude of the graph for the pistons in car B O The amplitude of the graph for the pistons in car A is twice the amplitude of the graph for the pistons in car B O The period of the graph for the pistons in car A is half the period of the graph for the pistons in car B O The period of the graph for the pistons in car A is twice the period of the graph for the pistons in car B

What are the midline amplitude period and graph of the function f x cos 2 2 k 3r TE 2 f x Ame 0 2 TO 3m will be used f x m It 11 3r 4 2 4 3n 11 X 2 0 1

16 Pete Ross read in a Wall Street Journal article that the cost of parts and labor to make an Apple iPhone 4S were as follows Wireless Camera Additional items Display 43 00 Memory Labor 26 90 5 00 24 99 17 56 81 55 Assuming Pete pays 661 for an iPhone 4S how much profit does the iPhone generate Inva

The vertices of a figure and the scale factor n are given below Find the vertices of the figure after the transformation 1 2 4 7 2 5 with n 4 O 5 6 8 11 6 1 1 3 O 4 8 16 28 8 20 2 4 4 7 4 5

20 A Formula 1 race car is re created as a toy car reduced by a scale of 12 how tall is the race car Hint take note of the units a 0 75 m b 1 13 m c d 0 94 m 0 56 m If the model version is 7 8 cm tall

Find the area of each composite figure All curves are circular arcs with centers shown Round your answers to two decimal places a 4 cm 2 cm 7 cm

3 A cone shaped paper cup has the dimensions shown in the diagram B 84 82 cm J D 6 cm Which measurement is closest to the lateral surface area of the paper cup in square centimeters A 106 03 cm C212 06 cm 4 5 cm 169 65 cm 7 5 cm

13 The dimensions of a cube and a rectangular prism are shown in the diagram X X 12 mm3 Cube X 2x 3x 4x Rectangular Prism If the volume of the cube is 125 mm what is the volume of the rectangular prism A 1 125 mm C 1 500 mm B D 3 000 mm

14 Snacks at the spring carnival are sold in containers shaped like a cone or a cylinder The dimensions of each container are shown in the drawing 4 in G 80 in 3 12 in 3 in What is the combined volume of the cone and the cylinder in cubic inches F 72 in H 136 in 3 264T in 3 J 8 in

Triangle RST has vertices at R 4 7 S 6 3 and T 2 3 Jennifer believes that the perimeter of ARST is 26 square units Why is Jennifer incorrect O A Because RS 6 units RT 6 units and ST 4 units B Because RS 20 units RT 20 units and ST 4 units C Because RS 10 units RT 10 units and ST 8 units D Because RS 20 units RT 20 units and ST I 16 units

De Select one Dg One variable Statistics Question 4 Jamal calculates the mean and standard deviation of a data set of the salaries of 10 employees He then calculates the mean of the salaries after each employee receives a pay increase of 2 000 Which statement is true a O O The mean of the new data set decreases The mean of the new data set increases The mean of both data sets stays the same There is not enough information to know how the mean will change

Fred did a survey of the homes in his neighborhood He recorded the type of fuel used to heat each home He wants to make a circle graph of the data Type of Fuel Gas Electric Wood Oil Number of Homes 20 S 10 S What is the angle measure of the section in the circle graph that represents wood fueled homes A 10 B 25 O C 45 909

20 Aaron has a dozen eggs in a carton Three of the eggs are raw and the rest are hardboiled Aarc takes out one egg at random and cracks it He then takes out another egg and cracks it What is the probability that the first egg cracked was hardboiled and the second was raw F G 25 9 16 H J 6 9 44

Enter the correct answer in the box Write an expression to represent the given statement Use n for the variable three times the absolute value of the sum of a number and 6 0 m Inl H

Samantha Nyla and Jerry own shares of stock in the Triumph Hotels company The shares of stock that they own have a combined value of 6 880 Samantha owns 70 shares Nyla owns 50 shares and Jerry owns 40 shares What is the value of the shares Samantha owns A 98 B 301 C 3 010 D 4 816

You are in the market for a new car and will need to finance 20 000 You have a good job with a monthly net pay of 3 000 and want to make an informed decision Directions Use the popup calculator and the loan calculator to complete the chart What is the interest paid for the car Amount of Loan APR Length of Loan Est Monthly Payment Total Price for Car Total Paid in Interest 22 108 09 O 25 000 21 O None of these Deal 1 20 000 5 48 months

7 Mr Steiner purchased a car for about 14 000 Assuming his loan was compounded monthly a interest rate of 4 9 for 72 months a How much will he have paid total b How much more did he pay than the price of the car

2 In a fruit fly choice chamber bottle 23 flies end up on the end of the choice chamber with sugar water and 9 flies end up on the side with distilled water Could the distribution difference be due to random chance Make a null hypothesis and then use the Chi Square test to help you draw a conclusion

Wayne is hanging a string of lights 55 feet long around the three sides of his rectangular patio which is adjacent to his house The length of his patio the side along the house is 7 feet longer than twice its width Find the length and width of the patio

Use the graph to determine which statement describes f x 5 Ay 5 5 y f x 5 OA f x does not have an inverse function because its graph fails the horizontal line test B f x does not have an inverse function because its graph fails the vertical line test C f x has an inverse function because its graph passes the vertical line test OD f x has an inverse function because its graph passes the horizontal line test

Jackson is conducting an experiment for his Physics class He attaches a weight to the bottom of a metal spring He then pulls the weight down so that it is a distance of 6 Inches from its equilibrium position Jackson then releases the weight and finds that it takes 4 seconds for the spring to complete one oscillation Which function best models the position of the weight 6sin 2 t OA s t OB s t 6cost OC s t 6sin t d f foodlant