Math - Others Questions

professionals refer to science technology engineering and mathematics as the STEM disciplines A research group reported that 26 of freshmen entering college in a recent year planned to major in a STEM discipline A random sample of 90 freshmen is selected Round the answer to at least four decimal places Part 1 of 6 Is it appropriate to use the normal approximation to find the probability that less than 29 of the freshmen in the sample are planning to major in a STEM discipline It is andn 1 p 66 6 Part 1 6 appropriate to use the normal curve since np 23 4 A Part 2 of 6 10 10 Find the probability that less than 29 of the freshmen in the sample are planning to major in a STEM discipline The probability that less than 29 of the freshmen in the sample are planning to major in a STEM discipline is

Find the absolute change and the relative change in the following case The estimated number of refugees in a part of the world increased from 7 4 million in 2005 to 11 5 million in 2020 The absolute change is million Simplify your answer Type an integer or a decimal The relative change is Type an integer or decimal rounded to the nearest tenth as needed

Using synthetic division determine whether the numbers are zeros of the polynomial function 2 x 7x 11x 20 5 2 f x 2x Select the correct choice below and if necessary fill in the answer boxes to complete your choice OA The number 5 is not a zero of the polynomial function because f 5 of the polynomial function because f 2 and the number 2 is a zero OB The number 5 is a zero of the polynomial function because f 5 and the number 2 is not a zero of the polynomial function because f 2

Required information The following information applies to the questions displayed below Martinez Company s relevant range of production is 7 500 units to 12 500 units When it produces and sells 10 000 units its average costs per unit are as follows Direct materials Direct labor Variable manufacturing overhead Fixed manufacturing overhead Fixed selling expense Fixed administrative expense Sales commissions Variable administrative expense Average Cost per Unit 5 90 3 40 1 60 4 00 2 90 2 20 1 20 0 45 Required 1 For financial accounting purposes what is the total amount of product costs incurred to make 10 000 units Do not round intermediate calculations

The campus bookstore has estimated that its profit in dollars from selling x hundred basketball conference championship t shirts is given by the equation shown below P 41x 579x 528 The demand is currently 700 t shirts but euphoria over the championship is subsiding so the demand is dropping by 100 t shirts per day How is the profit changing with respect to time per day

Below is the sample size P is the population proportion and P is the sample proportion First check if the assumptions are satisfied to use the norma distribution for probabilities If appropriate use the Central Limit Theorem to find the indicated probability n 101 P 0 29 Part 1 of 2 It Choose one Part 2 of 2 appropriate to use the normal distribution for probabilities X

Two friends take a 2000 mile cross country trip together but they drive their own cars Car A has a 14 gallon gas tank and averages 40 miles per gallon while car B has a 22 gallon gas tank averages 20 miles per gallon Assume both drivers pay an average of 2 35 per gallon of gas a What is the cost of one full tank of gas for car A For car B b How many tanks of gas do cars A and B each use for the trip c About how much do the drivers of cars A and B each pay for gas for the trip a The cost for car A is per tank and the cost for car B is Round to the nearest cent as needed b Car A uses tanks and car B uses Round to two decimal places as needed tanks for the trip per tank c The driver of car A pays for the trip and the driver of car B pays Round to SILE

Complete parts a through c below a A warehouse is 63 yards long 29 yards wide and 6 yards high What is the area of the warehouse floor If the warehouse is filled to half its height with tightly packed boxes what is the volum of the boxes b A room has a rectangular floor that measures 24 feet by 18 feet and a flat 6 foot ceiling What is the area of the floor and how much air does the room hold c A grain silo has a circular base with an area of 260 square feet and is 18 feet tall What is the total volume a The area of the warehouse floor is Type an integer or a decimal The volume of the boxes in the warehouse is Type an integer or a decimal b The area of the floor is Type an integer or a decimal The amount of air the room can hold is Type an integer or a decimal c The volume of the grain silo is Type an integer or a decimal GIE

Use the currency exchange rates in the table for the following question Your dinner in Tokyo cost 14 400 Japanese yen How much was it in U S dollars Your dinner cost in U S dollars Round to two decimal places as needed Currency British pound Canadian dollar European euro Japanese yen Mexican peso Dollars per Foreign 1 356 0 7828 1 225 0 009694 0 05035 Fore D 0 1 2 0 8 10 19

Using examples show how to convert among the Fahrenheit Celsius and Kelvin temperature scales Choose the correct answer below C O A Conversion between Celsius Fahrenheit and Kelvin can be done using conversion formulas So to convert 60 F to Celsius and Kelvin use the formulas C 1 8F 32 to convert to Celsiu and the then use K C 273 15 to convert to Kelvin to get 60 F 76 C 349 15K OB Conversion between Celsius Fahrenheit and Kelvin can be done using conversion formulas So to convert 60 F to Celsius and Kelvin use the formulas C 1 8F 32 to convert to Celsiu and then use K C 273 15 to convert to Kelvin to get 60 F 140 C 413 15K OC Conversion between Celsius Fahrenheit and Kelvin can be done using conversion formulas So to convert 60 F to Kelvin and Celsius use the formulas K F 273 15 to convert to Kelvi and then use C K 32 1 8 to convert to Celsius to get 60 F 333 15K 167 31 C O D Conversion between Celsius Fahrenheit and Kelvin can be done using conversion formulas So to convert 60 F to Celsius and Kelvin use the formulas C and then use K C 273 15 to convert to Kelvin to get 60 F 15 56 C 288 71K F 32 1 8 to convert to Celsius

If your car gets 29 miles per gallon how much does it cost to drive 370 miles when gasoline costs 3 00 per gallon The cost is Simplify your answer Round to the nearest cent as needed

A new sidewalk will be 6 feet wide 220 feet long and filled to a depth of 6 inches 0 5 foot with concrete How many cubic yards of concrete are nee The new sidewalk needs cubic yards of concrete Round to one decimal place as needed COD I

If you sleep an average of 7 4 hours each night how many hours do you sleep in a year Assume that this year is a non leap year You sleep hours in a year Type an integer or a decimal

Coffee The National Coffee Association reported that 64 of U S adults drink coffee daily A random sample of 225 U S adults is selected Round you answers to at least four decimal places as needed Part 1 of 6 a Find the mean H P The mean is 64 Alternate Answer The mean Part 1 6 Part 2 of 6 is 0 64 b Find the standard deviation d P The standard deviation an is

Elevator ride Engineers are designing a large elevator that will accommodate 56 people The maximum weight the elevator can hold safely is 11 144 pounds According to the National Health Statistics Reports the weights of adult U S men have mean 196 pounds and standard deviation 71 pounds and the weights of adult U S women have mean 169 pounds and standard deviation 80 pounds Use the TI 84 Plus calculator Part 1 of 3 a If 56 people are on the elevator and their total weight is 11 144 pounds what is their average weight The average weight is Part 2 of 3 pounds Part 3 of 3 X S b If a random sample of 56 adult men ride the elevator what is the probability that the maximum safe weight will be exceeded Round the answer to at least four decimal places The probability that the maximum safe weight will be exceeded is X c If a random sample of 56 adult women ride the elevator what is the probability that the maximum safe weight will be exceeded Round the answer to at least four decimal placer

HQ Four Quadrant Ordered Pairs B C 3 3 G E C Z 4 3 2 4 S Write the ordered pair for each given point 8 4 9 W 11 I 10 12 Z 2 2 2 1 1 2 4 4 5 8 Tell what point is located at each ordered pair 1 3 7 3 6 4 2 8 7 4 9 7 8 9 5 8 9 6 3 8 13 G 14 T Plot the following points on the coordinate grid 17 O 7 4 19 V 2 5 18 F 3 6 20 A 2 9 W X messa 21 Y 1 6 22 U 2 5 1 2 6 1 D 7 4 4 8 1 3 15 D 8 6 16 J 3 1 23 M 1 5 24 N 8 8

HQ Four Quadrant Ordered Pairs 10 B E S N Write the ordered pair for each given point 8 4 9 W 11 I C 3 3 12 Z 2 2 4649 8 Tell what point is located at each ordered pair 1 3 7 3 6 4 2 8 7 4 9 7 8 5 8 9 6 3 8 13 G 14 Plot the following points on the coordinate grid 17 O 7 4 19 V 2 5 181 F 3 6 201 8 29 931 DEZ 21 Y 1 6 W 1 2 T 6 1 X FA K 7 4 4 8 1 3 15 16 X D 8 6 J 3 1 23 M 1 5

Find the mean the median and the mode of the following salaries of employees of the Moe D Lawn Landscaping Company If an answer does not exist enter DNE mean 26700 median 23500 mode 21000 Salary 21 000 26 000 30 000 45 000 x Frequency 4 3 2 1

Find the slope of the line that passes through the pair of points 42 86 5 8 and 3 86 4 6 Select the correct choice below and if necessary fill in the answer box to compl O A The slope is Type an integer or a simplified fraction B The slope is undefined

Find the mean the median and the mode of the following salaries of employees of the Moe D Lawn Landscaping Company If an answer does not exist enter DNE mean 26700 median 28000 mode 21000 Salary 21 000 26 000 30 000 45 000 Frequency 4 321

Question 3 of 13 3 7 Express numbers in exact form Use symbolic notation and fractions where needed cos x 2 Use a trigonometric identity to find cos s x 7 7 7 if sin x 2

The sale prices for homes in a certain city are as follows Location 415 First Street 957 Locust Street 114B First Street Cytrus Heights 814 Duncannon 482 Circle Court 1580 De Soto Dr 118 Moss Road Find the mean the median and the mode If an answer does not exist enter DNE median mode mean mean Which measure seems to best describe the home price median mode Need Help Price 285 000 460 000 130 000 2 590 000 Read It 240 000 315 000 130 000 230 000

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 val Data set A The annual wages of employees at a small accounting firm are given in thousands of dollars 17 25 19 25 60 33 50 34 15 31 24 35 36 1 23 6 4 5 579 4555 13456 0 0

Find the range and the standard deviation correct to two decimal places 6 7 8 9 10 range standard deviation Need Help Read It

A class obtained the following scores on a test Test Score Frequency 90 1 80 6 70 9 60 4 50 3 40 2 Find the mean the median the mode and the range for the class If an answer does not exist enter DN mean median mode range

Find the mean the median and the mode of the following salaries of employees of the Moe D Lawn Landscaping Company If an answer does not exist enter DNE mean median mode Salary 21 000 26 000 30 000 45 000 bis Frequency 4 3 2 1

Find the three measures of central tendency the mean median and mode If an answer does not exist enter DNE 5 6 7 8 9 mean median mode

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 17 25 19 25 60 33 50 34 15 31 24 35 36 1 2 3 4 56

the following data set The annual wages of employees at a small accounting firm are given in thousands of dollars 25 25 25 30 30 35 50 60 16 14 18 18 20 Prepare a frequency distribution for the data set Wages Frequency 14 16 18 20 25 30 35 50 60 Need Help Read It

4 Give the answer in the correct number of significant figures show your work 7 3 2522 33 5 0006 is the significant figure rule when adding or subtracting 6 2 What is the significant figure rule when multiplying or dividing 7 5 Find the volume of the cube 5 200 x 00235 Find the area of the rectangle A 12 0 cm 14 18cm 6362600 Find the perimeter of the shape add all the sides 10 9cm 444cm 12 0lem 5 02cm 22 322 cm 11 76 m 54 mm 2 16 cm

In this problem we prove the following statement Let A B be sets in a universe U Then A n BC AUB Your task is to provide justification for some of the steps Possible answers are given below Put a number into each blank with no parentheses 1 definition of union 2 definition of intersection 3 definition of subset 4 definition of set subtraction i e S T 5 definition of complement 6 DeMorgan s law of logic Proof Let a An B Then x EA and a E B by justification 2 Since a A this means that a A by justification 5 Using the same reasoning a E B means that a B so x B is true Combining these facts x E A A B is true Therefore EA V E B is true using justification 6 In other words E AUB is true using justification 4 Since AUB this means that a AUB using justification 3 This concludes the proof that ABC AUB D So EA is true which is equivalent to a AUB

or more diagnoses occurring in a single patient O F05 293 0 Delirium Due to Another Medical Condition F05 293 0 Delirium Due to Multiple Etiologies

Let P n be the following proposition over P the set of positive integers a Which of the following is P 5 O A 1 2 5 5 5 1 2 OB 1 2 5 15 OC 5 5 1 OD 1 2 5 OE None of the above b Is P 5 true or false and why 1 2 n A P 5 is true because both sides of the equation equal 15 OB P 5 is false because one side equals 8 and the other side equals 15 OC Neither 1 2 5 is an expression and cannot be judged to be true or false OD P 5 is true because P 5 equals 5 5 1 OE None of the above n n 1 2 R W to go to deid FR h 1 2 Enter

1 point Given L 200 ft equal tangent parabolic curve with g1 1 25 g2 1 25 VPI station 146 00 and VPI elevation 1 895 00 ft Compute elevation at the EVC 1896 25 1895 78 1895 73 1864 04

1 point Given L 200 ft equal tangent parabolic curve with g1 1 25 g2 1 25 VPI station 146 00 and VPI elevation 1 895 00 ft Compute elevation of BVC 1896 25 1895 54 1895 00 2096 25 000

1 point Given L 200 ft equal tangent parabolic curve with 81 1 25 82 1 25 VPI station 146 00 and VPI elevation 1 895 00 ft Compute rate of change r 1 25 2 5 1 25 10 2 5

point Compute the station elevation of the BVC of an 800 ft equal tangent parabolic curve where a 2 50 grade meets a 1 75 grade at a station of 44 25 and elevation 368 96 ft 358 96 362 96 362 00 368 96

1 point J a Compute the station elevation of the EVC of an 800 ft equal tangent parabolic curve where a 2 50 grade meets a 1 75 grade at a station of 44 25 and elevation 368 96 ft 358 96 368 96 362 96 362 00

1 point a Compute the rate of change of an 800 ft equal tangent parabolic curve where a 2 50 grade meets a 1 75 grade at a station of 44 25 and elevation 368 96 ft 0 53 1 45 1 45 0 53

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

20 of all college students volunteer their time Is the percentage of college students who are volunteers different for students receiving financial aid Of the 318 randomly selected students who receive financial aid 76 of them volunteered their time What can be concluded at the a 0 05 level of significance Use che p value approach a For this study we should use Select an answer b The null and alternative hypotheses would be Ho Select an answer H Select an answer c The test statistic please enter a decimal Please enter a decimal Please round your answer to 2 decimal places Please round your answer to 2 decimal places d The p value e The p value is a f Based on this we should Select an answer the null hypothesis

Given a railroad curve with the following parameters Do 18 00 00 2 00 00 PI Station 25 50 00 ft Compute the curve parameters Long Chord LC O 900 04

The following table lists the number of years of education past high school and the annual income of six people Determine the linear correlation coefficient for the data and also determine whether we can be 95 or 99 confident that there is significant linear correlation between the two variables Years of Education Past High School Annual Income in thousands of iClick the icon to view the table of critical values for the linear correlation coefficient n 4 5 6 7 8 9 10 11 Table of critical values 12 13 14 15 16 17 18 19 20 05 950 878 811 1 25 754 707 666 632 602 576 553 532 514 497 482 468 456 444 3 34 01 999 959 917 875 834 798 765 735 708 684 661 641 623 606 590 575 561 2 36 4 35 X 5 43 6 54 D The correlation coefficient between the two variables is r Round to four decimal places as needed

Given a railroad curve with the following parameters D 2 00 00 1 18 00 00 PI Station 25 50 00 ft Compute the curve parameters the station PT 34 78 12 O 47 69 42 O 65 43 21

Given a railroad curve with the following parameters Dc 2 00 00 1 18 00 00 PI Station 25 50 00 ft Compute the curve parameters Middle Ordinate M

K Use the given xy pairs to complete parts a through d a Identify the problem solving method to be used b Plot the xy pairs in a scatterplot c Estimate the linear correlation coefficient between the two data sets d Calculate the linear correlation coefficient 11 6 17 13 14 5 14 9 O a Choose the correct answer below A Choose Good Names for Unknowns OB The Three Way Principle C The Order Principle D Draw Pictures b Choose the correct graph below OA Ay 15 0 20 Q G B Ay 15 20 G c The value 0 75 is a reasonable estimate of the linear correlation coefficient GEXER O C Ay 15 0 20 Q O D Ay 15 0 0 20

Given a railroad curve with the following parameters D 2 00 00 18 00 00 PI Station 25 50 00 ft Compute the curve parameters Middle Ordinate M O42 15 O 35 27 O 900 04

K a Plot the xy pairs in a scatterplot b Estimate the linear correlation coefficient between the two data sets c Calculate r the linear correlation coefficient 6 13 8 14 10 7 12 8 a Choose the correct graph below O A 30 53 24 18 12 6 0 0 e 4 8 12 16 1 0 25 Q Q 0 5 0 75 B 16 12 8 4 0 0 6 12 18 24 30 b Which of the following is the best estimate for the linear correlation coefficient T Q C 30 24 A 18 12 6 0 0 I D 4 8 12 16 Q OD 16 124 8 4 8 12 16 PANO of I 0 0 19

K Use a standard normal distribution table to find the percentage of area above the standard normal curve that is specified Above z 1 47 Click the icon to view the standard normal distribution table What is the percentage of the area above z 1 47 Round to the nearest tenth as needed

Given a railroad curve with the following parameters Dc 2 00 00 C 1 18 00 00 PI Station 25 50 00 ft Compute the curve parameters External Distance E O 35 71 O 453 76 107 58