Basic Math Questions and Answers

6 Select all shapes that have a volume of 36T Check all that apply Option 1 3 Option 3 Option 5 3T 12 FL 3 Option 2 3 Option 4 3T 4 4 3r 1 poin

23 7 33 AM 7 End of unit assessment solid geometry 2022 2023 period 3 What kind of shape is created from the cross section seen here on the square 1 point pyramid 9 Temada 8 1 point A cylindrical cup is 10 centimeters in height When filled to the very top it holds 490 cubic centimeters of water What is the radius of the cup rounded to the nearest tenth Which lunch box holds more 3 75 in 44 A 7 5 in 10 in 3 75 in B 8 in 1 point 9 5 in

37 AM 4 5 What 3 dimensional shape is created when this shape is rotated around the y 1 point axis 543 H 2 1 SWN HO 5 4 3 2 110 2 3 4 5 x 1 2 3 4 5 Juleve Olive oil is a cooking ingredient The density of olive oil is 0 90 grams per cubic 1 point centimeter An olive farmer wants to sell bottles that contain 522 grams of oil What is the volume of the smallest container that holds 522 grams of oil

Model It Complete the problems about distance from 0 1 A scientist standing on the deck of a boat uses a drone scuba diver uses a camera to explore a sea cave The tab shows the elevations of four objects relative to sea level Object Camera Elevation 20 ft Cave floor 30 ft Drone 20 ft Boat de 5 ft a Use the number line to show the elevations of the ob Label each object at its elevation b Are any of the objects the same distance from sea lev sea level are they

100 students were interviewed to determine how they had come to school that day The results are shown in the following table organized by gender Male Female Total By car 12 20 32 By bus 15 11 26 By bicycle 18 9 27 Walking 5 10 15 Calculate the chi squared test statistic giving your answer correct to three significant figures Total 50 50 100

X X Y Y 1 8 10 20 12 10 14 6 10 X Y X Y X Y X 2 2 12 2 V 14 12 20 12 x y X Y

Tara invests 555 into a savings account that has an interest rate of 12 6 and is compounded quarterly How many years will it take for the account to reach a balance of 5 600 O 17 3 years O 18 0 years O 10 7 years 18 6 years

Scenario Mr Chen applied 28 72 80 units of fertilizer per acre to 280 acres of soybeans He used 46 0 0 urea at 256 per ton 18 46 0 DAP at 265 per ton and 0 0 60 muriate of potash at 175 per ton Using the above scenario how many pounds per atre did he apply O 250 O 310 O 290 O 270

The population of Winnemucca Nevada can be modeled by p 6191 1 04 what is the growth rate r represented as a percentage O 106 4 1 04

1 Four buses carrying 100 students from the same school arrive at a football stadium The busse carry respectively 10 20 30 and 40 students One of the 100 students is randomly selected anc let X denote the number of students on the bus carrying the randomly selected student Let Y denote the number of students when one of the 4 buses is randomly selected a Explain without any computation which of E X or E Y you think is larger Why

Card Dealing Let two cards be dealt successively without replacement from a standard 52 card deck Find the prob ability of each event 47 spade dealt second given a spade dealt first 48 club dealt second given a diamond dealt first 49 two face cards 50 no face cards 51 The first card is a jack and the second is a face card 52 The first card is the ace of hearts and the second is black 53 The first card is black and the second is red 54 Proof of Formulas Given events A and within the sam ple space S the following sequence of steps establishes formulas that can be used to compute conditional prob abilities Justify each statement a P A and B P A P BA D PA and 8 b Therefore P BA e Therefore J BA 1 1 and 2 ST

Pollution from the Space Shuttle Launch Site One problem encountered by developers of the space shuttle program was air pollution in the area surrounding the launch site A certain direction from the launch site was considered critical in terms of hydrogen chloride pollution from the exhaust cloud It has been determined that weather con ditions would cause emission cloud movement in the critical direction only 5 of the tim Find each probability Assume that probabilities fo particular launch in no way depend on the probabilities other launches Give answers to two decimal places 14 D 40 67 A given launch will not result in cloud movement in t critical direction 195 68 No cloud movement in the critical direction will occ during any of 5 launches 17

3 Points Find sin 2x cos 2x and tan 2x from th tan x 12 xin x in Quadrant sin 2x DETAILS Cos 2x

Puzzle 1 1 Find the slope 3 Find the stope 2 18 4 28 2 Find the slope x Y 0 7 1 4 2 1 3 2 4 find the slope answer choices IC A B m 3 m 2 D Es m 3m 0 H G m 2 m 5 m 2 F m 1 I m undefined Type the 4 letter code into the answer box All CAPS no spaces 0000A

Job Interviews Three men and three women are waiting to be interviewed for jobs If they are all selected in random order find the probability of each event 71 All the women will be interviewed first 72 The first interviewee will be a man and the remaining ones will alternate gender

4 8 pts Below are two pictures of pressure measurement devices One is an analog device and one is a digital device Which one is which 3 points How can you tell 3 points For each device give an example where one may be better easier to use than the other 2 points Please clearly explain your reasoning in a few sentences

f x x 4 x a critical numbers are b make the table for f c local max local min

Mechanical Engineering and upon graduation you happily accepted a job in the R D department with Spectre Inc The place has a weird vibe that you can t quite place but the insurance and benefits were too good to pass up Watch your back For your first assignment your supervisor has asked you to design a device that will rapidly scan IR temperature data at the entryway to the Spectre Headquarters during the evening hours to alert security to the presence of troublesome secret agents The required measureme resolution of the IR device Hz is equal to the 123 digits of your abc123 multiplied by 25 You need to explain to your supervisor that to properly measure this frequency you actually nee to acquire at the Nyquist frequency Describe this concept in your own words 4 points ar draw a sketch illustrating the concept 4 points should be hand drawn not an image from a online source What is the corresponding Nyquist frequency for this measurement 2 points

Assessment Item Analysis II F IF A Which statement is no U

Dr Jones is a veterinarian who sees only dogs and cats In each appointment he may or may not give the animal a vaccine The two way frequency table summarizes Dr Jones s 50 appointments last week Dog Cat Let dog be the event that a randomly chosen appointment from the table involved a dog a P dog 0 Vaccine 14 11 Let vaccine be the event that a randomly chosen appointment from the table included a vaccine Find the following probabilities Write your answers as decimals X b P vaccine and dog c P vaccine dog 0 No vaccine 6 19 G 1

Let A and B be two events Suppose that P A 0 38 and P B 0 44 a Find P AorB given that A and B are independent b Find P AorB given that A and are mutually exclusive a X Espa ol 5

Determine the capacity in veh h of a lane group comprised of one lane for the through movement if the effective green time for this movement is 45 sec and the total cycle length is 65 sec The conditions of the lane group are listed below Base rate 1 900 pc h in Lane width 10 5 ft Heavy vehicles 1 of the traffic stream Approach grade 2 No on street parking No bus stops Bicycle and pedestrian traffic conflicting with this lane group is negligible Intersection is in a central business district Your response differs from the c by more than 10 Double check your calculations veh h

Determine the adjusted saturation flow rate in veh h In for a lane group comprised of one lane for the through movement under the ollowing conditions Base rate 1 900 pc h In Lane width 12 5 ft Heavy vehicles 8 of the traffic stream Approach grade 9 No on street parking No bus stops Bicycle and pedestrian traffic conflicting with this lane group is negligible Intersection is in a central business district

cater than 4 Probability and Odds for Drawing a Ca of drawing a single card from a star a the probability of each event a of each event

J133 Number Sums for Rolling a Pair of D of rolling an ordinary pair of dice the sum will be each of the followi a table showing the sum for each outcomes 17 even or a multiple of 3 18 11 or 12

Given a family with three children find the probability of each event in exercises 15 24 Assume that the probabilities of boy birth and girl birth are both 2

Probabilities in Golf Scoring The table gives Josh s probabilities of scoring in various ranges on a par 70 course In a given round find the probability of each event T Below 60 60 64 65 69 70 74 79 80 84 85 89 90 94 95 99 100 or above P x 0 04 0 06 0 30 0 23 0 06 0 04 0 03 0 01 27 par or above 0 76 28 in the 80s 15 29 less than 90 052 30 not in the 70s 80s or 90s 31 95 or higher t

CONCEPT CHECK The chips shown are placed in a bag and drawn at random one by one without replacement Answer each question 1 What is the probability that the first chip drawn is red 2 What is the probability that the first chip drawn is blue and the second chip drawn is yellow 3 What is the probability that the first two chips drawn are both yellow 4 What is the probability that the first four chips drawn are all blue

Selecting Class Reports Ass are three of the 26 membe the class members will be d reports during the next cla

Tap joint sh ure is by maximum safe load P that can be applied if the shearing stress in the rivets is limited to 15 ksi and the bearing stress in the plates is limited to 20 ksi Assume the applied load is uniformly distributed among the four rivets P P A 54 kips B 24 74 kips C 26 51 kips D 47 25 kips 5 in 9 10 in P 9 10 in D

A hollow steel tube with an outside diameter of 200 mm must carry a tensile load of 350 kN Determine the inside diameter of the tube if the stress is limited to 150 MPa A B 189 65 mm 119 35 mm 192 43 mm C D 196 57 mm

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1 Points DETAILS For any x it is true that sin x has the same value as sin x We express this fact as the identity sin x Need Help Read It 3 1 Points DETAILS Write the trigonometric expression in Lerms of sine and cosine and then simplify 7 cost tan t Need Help Read It Submit Answer 4 1 Points DET Watch it

Each type of penny contributes a different amount to the overall mass We can calculate the amount each type contributes by using the abundance in decimal form and the average mass of the penny type Post 1982 mass decimal abundance average mass Sample Pre 1982 Post 1982 Number of Pennies 8 12 Abundance 9 40 60 Average Mass g 3 1 2 5 What mass do the post 1982 pennies contribute

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What factors influence the volume of vehicles turning right on a red indication and why is this important What does the Highway Capacity Manual recommend if field data on right turn on reds canno be collected

Click Here to Acess ALEKS X A ALEKS Austin Adderley Lea X www awu aleks com alekscgi x Isl exe 1o u IgNslkr7j O COUNTING AND PROBABILITY Computing conditional probability to make The sales for each of 200 salespeople were record Then some of the salespeople took a sales training The next month s results are reported in the follow Increased sales No Seminar No Seminar 77 61 A salesperson is chosen at random from this grou Complete the following Write your answers as de a Find the probability that the salesperson P increased sales

1 Solve the following inequalities by graphing and using algebra 2x3 6x2 11x 12 12x2 x 4 a Graphically C4 marks b Algebraically K4 marks

A population doubles in size every 33 years Assuming exponential growth a Annual growth rate b Continuous growth rate Give your answers as a percentage rounded to three decimal places The annual growth rate is The continuous growth rate is

3 Use the ple chart to help complete the sentences below Choose an answer from the appropriate table to fill each blank As a child Parker saw how coal burning iron factories were polluting the air In the ple chart the section labeled that sources like factories cause a shows b of the air pollution As an adult Parker designed an electric car and helped convert London s subway system from steam to electric power In the ple chart the section labeled a shows that vehicles such as cars and of air pollution subways cause b Table A Agriculture Buildings Electricity and Heat Production Industry Other Energy Transportation 25 24 21 14 10 6 Read this sentence from paragraph 4 C give off D save Table B The cars were quiet and did not emit fumes or pollutants What does emit mean as it is used in this sentence A use up B need Which word has the same ending vowel sound as practical in

The graph of a function is shown together with the tangent 10 9 CON 8 7 6 5 4 3 2 1 P

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1 Pam comes to work late every day and makes the team lose out on bonuses because their work is not complete The boss never says anything to Pam What should you do 2 Tyrone comes to work and his cologne is too strong how do you approach him 3 Sarah s cash drawer always comes up short at night and you saw her take a dime to use at the vending machine How would you handle that 4 You put in for a vacation two weeks before DJ put his in but the boss favors him more and allowed him to take the days you requested first How would you handle that

1 K Assume you are ro the second is gree the number of way the two dice