Math - Others Questions

Due Date 10 16 2023 1 Determine the dry unit weight of compaction in the field given the following results of a field unit weight determination test on a soil using the sand cone method Calibrated dry density of Ottawa sand 1667 kg m3 Calibrated mass of Ottawa sand to fill the cone 0 117 kg Mass of jar cone sand before use 5 99 kg Mass of jar cone sand after use 2 81 kg Mass of moist soil from hole 3 331 kg Moisture content of moist soil 11 6 NOTE Show all the calculation steps

A total of eight shows when we roll two fair dice a Find the probability of the given event b Find the odds against the given event 5 36 Simplify your answer Type an integer or a simplified fraction a The probability of the given event is b The reduced odds against the given event are to Simplify your answers

22 m 14 m

4 ft 6 ft

Part III Order of Operations 1 24 9 2 6 3 2 35 17 2 5 3 4 9 3 8 2 Algebra 1 Review Sheet for Test 1 4 26 25 11 2 Part IV Evaluating Expressions 1 n 13 n 5 for n 8 2 8y 3x 2n when x 5 y 2 and n 3 3 2x y z when x 10 y 4 and z 8 2 17 9 0 4 8 6 8 4 8 41 4 5k mn when k 4 m 3 and n 5 100 substitate jos Pempas 9121

1 24 9 2 6 3 2 35 17 2 5 3 4 9 3 8 2 4 26 25 11 2 Part IV Evaluating Expressions 1 n 13 n 5 for n 8

List category and average price of all tasks in each category for those categories ending with a letter M or N

asic asic 5 16 A study is designed to test the hypotheses Ho 26 versus Ha 26 A random sample of 50 units was selected from a specified population and the measurements were summarized to y 25 9 and s 7 6 a With a 05 is there substantial evidence that the population mean is less than 26 b Calculate the probability of making a Type II error if the actual value of the population mean is at most 24 c If the sample size is doubled to 100 what is the probability of making a Type II error if the actual value of the population mean is at most 24 5 17 Refer to Exercise 5 16 Graph the power curve for rejecting Ho 26 for the following values of 20 21 22 23 24 25 and 26 a Describe the change in the power as the value of decreases from 40 26 b Suppose the value of n remains at 50 but a is decreased to a 01 Without recalculating the values of the power superimpose on the graph for a 05 and n 50 the power curve for a 01 and n 50 c Suppose the value of n is decreased to 35 but a is kept at a 05 Without recal culating the values of the power superimpose on the graph for a 05 and n 50 the power curve for a 05 and n 35

1 List name balance and city of all clients in city Sunland

Use the simplex method and the Duality Principle to solve the following minimum problem Minimize Subject to the constraints 1 3x2 10 2x1 2x2 28 x1 0 x 0 and using your final tableau answer the questions below by entering the correct answer in each blank box Please enter fractions as 3 5 4 7 and so on x1 x2 C 3x1 4x2 II

Consider the price demand equation given by 8 1 p 5 2 500 Calculate E 0 25 where E is the elasticity of demand and select the correct interpretations of the result Select all that apply U 1 X When p 0 25 an increase in price will result in increased revenue When p 0 25 the elasticity of demand satisfies E 0 25 1 which is inelastic When p 0 25 the elasticity of demand satisfies E 0 25 1 which is elastic When p 0 25 an increase in price will result in decreased revenue

5 4 3 2 42 33296 30291 7 9 19 1 9 meters Saplings are considered tall if they are over 4 5 meters tall medium if they are from 3 0 to 4 4 meters tall and short if they are under 3 0 meters tall Draw and appropriately label a bar graph for this categorical data Hint That phrase is defined in the reading Also remember that bar graphs are a type of frequency graph

A college administration has conducted a study of 171 randomly selected students to determine the relationship between satisfaction with academic advisement and academic success They obtained the following information Of the 73 students on academic probation 40 are not satisfied with advisement however only 20 of the students not on academic probation are dissatisfied with advisement What is the probability that a student selected at random is not on academic probation and is satisfied with advisement The probability is Round to two decimal places as needed

The hypothetical table below shows the relationship between the number of hours students work at part time jobs each week and the number of years it takes then to graduate with an undergraduate degree If a student works more than 5 hours per week what is the probability that the student graduates in over 6 years 5 6 Years Amount of Hours Worked per Week 0 5 6 20 Over 20 Totals 4 Years 199 148 69 416 58 84 110 252 Over 6 Years 23 39 41 103 The probability is Type an integer or decimal rounded to three decimal places as needed Totals 280 271 220 771

What is the probability of getting either a club or a jack when drawing a single card from a deck of 52 cards The probability that the card is either a club or a jack is Simplify your answer Type a fraction www

A sushi restaurant has prepared 32 portions of seafood two of which had been left out too long and spoiled If 14 of the 32 portions are served randomly to customers what is the probability that a least one customer will receive spoiled food Hint Consider the complement of this event The probability that at least one customer will receive spoiled food is Type a decimal rounded to three decimal places as needed

The windshield wipers on a car have not been working properly The probability that the car needs a new motor is 0 6 the probability that the car needs a new switch is 0 45 and the probability that the car needs both is 0 2 What is the probability that the car needs neither a new motor nor a new switch The probability that the car requires needs neither a new motor nor a new switch is Type an integer or a decimal

In cross breeding certain plants a scientist found that flower color does not dominate as happens with peas For example a plant with one red gene r and one white gene w will have pink flowers rw a Construct a Punnett square showing the results of crossing a purebred red plant with a purebred white plant of the same species b What is the probability of getting red flowers in the first generation plants What is the probability of getting white Of getting pink a Choose the correct answer below A Parent 1 B Parent 1 O C Parent 1 r W r r r r Parent 2 W rw WW Parent 2 W rw rw W rW WW W TW rw W rW rw Parent 2 r rr rr b In the first generation plants the probability of getting red flowers is the p of getting white flowers is and the probability of getting pink flowers is

Out each to of 1000 families 3 childern you expect would how Many have 1 2 boys 1 girl 11 2 girls I boy

The displayed table relates the amount of time consumers spend shopping on the Internet per month with their annual income What is the probability that a randomly selected consumer neither spends more than 2 hours per month shopping on the Internet nor has an annual income of 60 000 or less The probability that a consumer neither spends more than 2 hours per month shopping on the Internet nor has an annual income of 60 000 or less is Round to two decimal places as needed Annual Income Above 60 000 10 3 9 0 2 Hours Hours Hours 182 166 117 204 150 182 279 552 546 40 000 60 000 171 Below 40 000 117 Totals 470 E Totals 465 525 578 1 568

Use the table to the right which shows the age distribution of those who earned less than minimum wage in a recent year If a worker is randomly selected from those surveyed what is the probability that the person is older than 19 The probability that the person is older than 19 is Round to three decimal places as needed Age 16 19 20 24 25 34 35 44 45 54 55 64 65 and older Working Below Minimum Wage thousands 342 430 317 177 109 70 45

Consider the complement of the event before computing its probability If two 20 sided dice are rolled find the probability that neither die shows a seven Hint There are 400 possible results from rolling two 20 sided dice The probability is Simplify your answer

If P E 0 33 then what are the odds against E The odds against E are Simplify your answers to

Use the given spinner to answer the question Each green sector occupies 6 of the circle each blue sector occupies 9 each red sector occupies 19 and the yellow sector occupies 8 Assume that the spinner is spun once What is the probability that the spinner does not stop on yellow The probability is Type an integer or a decimal R Red G Green B Blue Y Yellow B G R B G R

Consider the price demand equation given by 6 000 x 1 200 Which of the following give values of p for which the elasticity of demand is inelastic p Select the correct answer below 0 0 p 2 5 Op 2 5 Op 5 Op 5 SH

Assume that A and B are events If P AUB 0 6 P A 0 3 and P B 0 45 find P ANB P ANB Simplify your answer Type an integer or a decimal

If nine coins are flipped what is the probability of obtaining at least one head P obtaining at least one head Type an integer or a simplified fraction

Assume that P A 0 2 P ANB 0 15 and the probability that neither A nor B occurs is 0 4 What is the probability of E P B Simplify your answer Type an integer or a decimal

6 In Seattle they get on ourage of 1 inche d OF rain for day flow many feet of rain would they get in a year s Crounded to nearest whole number if needed H

Suppose that player 1 and player 2 are playing a game using spinner A and spinner B as shown to the right Player 1 can pick either spinner A or B and player 2 uses the other spinner Both players spin their spinner and whoever spins the higher number wins the game If a spinner lands on a boundary that spinner is spun again Which spinner should player 1 choose and what is the probability that player 1 will win OA OB Spinner A should be chosen with a probability of Type an integer or a simplified fraction 2 Select the correct choice below and fill in the answer box to complete your choice Spinner B should be chosen with a probability of Type an integer or a simplified fraction 9 Spinner A 6 8 Spinner B

In a certain game you roll two 4 sided dice to determine the number of spaces to move a game piece clockwise around the board Assume your game piece is on the square marked X What is the probability that you will land on a shaded square on the next move The probability is Simplify your answer X

The following table lists some of the empirical results that were obtained in experiments in cross breeding plants Assume that genetically pure tall plants were cross bred with genetically pure shor plants Use this information to assign the probability that a second generation plant will be short How consistent is this with the theoretical results expected from cross breeding Characteristics That Were Crossbred Tall vs short Smooth seeds vs wrinkled seeds First Generation Plants All Tall All smooth seeds Second Generation Plants 753 tall 221 short 5 407 smooth 1 556 wrinkled The probability that a second generation plant will be short is Round to the nearest hundredth as needed

5 Let 0 and t 0 and let ao 1 a2 n be sequence that satisfies and a S 1 8 a t for each i20 We will prove an inequality that is important for deriving the global error in Euler s method a Show that implies 1 1 8 a 1 t 1 1 8 b Show that and part a imply 0 1 1 s a 2 t 1 1 s 1 s c Use an inductive argument to show that a 1 1 s t 1 1 s 1 s 1 s d The term in brackets 1 1 s 1 s is a geometric series Use this fact to rewrite the inequality from c as t 9 1 1 8 00 e Finally use your answer from 04 to conclude

Carbon dioxide CO is sealed inside a piston cylinder assembly initially at 100 kPa and 27 C wit volume equal to 0 6 m An electrical resistor inside the cylinder heats up the gas until it temperature reaches 627 C with a final volume of 0 2 m During this process pressure and volume maintain a relation as PV2 constant while the gas loses 100 kJ heat to the surroundings Please answer the following questions Note In order to earn the full credit please start with the general governing equations followed by simplifications based on assumptions a 10 points Draw a schematic of the system including the boundary and label all the heat and work interactions between the system and the surroundings List at least three assumptions and approximations that you will use to generate and simplify the governing equations to be used for solving the following parts

The table below summarizes a survey involving the relationship between living arrangements and grade point average for a group of students If a student is selected randomly from this group what is the probability that the student lives off campus Below 2 5 2 5 to 3 5 Over 3 5 Totals The probability is On Campus At home 98 37 62 28 18 3 178 68 Apartment 46 22 6 74 Totals 181 112 27 320 KIIR

The residents of a small town and the surrounding area are divided over the proposed construction of a sprint car racetrack in the town as shown in the table on the right If a newspaper reporter randomly selects a person to interview from these people a what is the probability that the person supports the racetrack b what are the odds in favor of the person supporting the racetrack a The probability is Type an integer or a simplified fraction Live in Town Live in Surrounding Area Support Oppo Racetrack Racet 1 235 1 771 426 576

Assume a dart is thrown and hits somewhere in the diagram shown Find the probability that the dart hits the shaded region 5 in 3 in 10 in 7 in 1 in 3 in 4 in 5 in G

Assuming that we are drawing five cards from a standard 52 card deck how many ways can we obtain a straight flush starting with a two 2 3 4 5 and 6 all of the same suit There are ways to obtain a straight flush starting with a two

Based on the slot machine shown to the right in how many ways can we obtain oranges on all three wheels There are ways to obtain oranges on all three wheels Wheel 1 Wheel 2 Wheel 3 HAR BAR BAR

Find the number of ways six cards of the same suit can be drawn from a standard 52 card deck of cards a How many ways can the suit be chosen b How many ways can the six cards from the suit be chosen c How many ways can the hand be chosen Which problem solving strategy would best suit this problem Choose the correct answer below A Guessing is OK OB The Always Principle CC Be Systematic D Look for Patterns CO a How many ways can the suit be chosen It can be chosen in ways

A total of four shows when we roll two fair dice a Find the probability of the given event b Find the odds against the given event a The probability of the given event is Simplify your answer Type an integer or a simplified fraction

A dart is thrown and hits somewhere on the diagram shown to the right Find the probability that the dart hits a yellow or red area The probability is Type an integer or decimal rounded to three decimal places as needed 8 inches 34 inches 24 inches 14 inches Red Yellow 4 inches Green 7 inches Blue 12 inches 17 inches

A game has two four sided dice having the numbers 7 8 1 and 2 on their faces Outcomes in the sample space are pairs such as 7 8 and 2 2 a How many elements are in the sample space b Express the event the total showing is even as a set c What is the probability that the total showing is even d What is the probability that the total showing is greater than 3 Identify the problem solving method that should be used Choose the correct answer below A The Draw Pictures Principle B The Be Systematic Principle C The Analogies Principle OD The Choose Good Names for Unknown Strategies Principle a How many elements are in the sample space

A cookie is selected at random from a basket containing 24 sugar cookies 21 caramel cookies 3 peanut butter cookies and 32 mint cookies Find the probability that a sugar or a mint cooki selected The probability of selecting a sugar or a mint cookie is Simplify your answer

A t shirt seller currently sells one type for 20 per shirt The price p and the demand for shirts are related by D p 1000 24p If the current price is increased will revenue increase or decrease Select the correct answer below O Revenue will increase because demand is inelastic O Revenue will decrease because demand is inelastic O Revenue will increase because demand is elastic O Revenue will decrease because demand is elastic

A fish pond at a carnival contains 68 angelfish 132 cory cats 38 goldfish and 102 tetras If Marcelo picks a fish at random from the pond what is the probability that it is a tetras The probability is Simplify your answer

We are flipping three coins Outcomes in the sample space are represented by strings of Hs and Ts such as TTH and HHT a How many elements are in this sample space b Express the event there are more heads than tails as a set c What is the probability that there are more heads than tails d What is the probability that there are an equal number of heads and tails a There are elements in this sample space

Find the number of ways a run of three cards in order of the same suit can be drawn from a standard 52 card deck of carc a How many ways can the suit be chosen b How many ways can the three cards from the suit be chosen c How many ways can the hand be chosen a How many ways can the suit be chosen It can be chosen in ways CLE

3 Air is compressed steadily by an adiabatic compressor operating at constant speed The energy balance per unit mass when changes in kinetic and potential energy are negligible is best expressed as a U U Wout b U Win U gout c h Winout h d h Win h e Win h h

Use PMT U 16 nt to determine the regular payment amount rounded to the nearest dollar The price of a home is 177 000 The bank requires a 20 down payment and three points at the ti 1 1 of closing The cost of the home is financed with a 30 year fixed rate mortgage at 7 5 Complete parts a through e below a Find the required down payment b Find the amount of the mortgage c How much must be paid for the three points Round to the nearest dollar as needed closing d Find the monthly payment excluding escrowed taxes and insurance Round to the nearest dollar as needed e Find the total cost of interest over 30 years S Round to the nearest dollar as needed