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Mathematics Questions and Answers March 17, 2023

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Myson Ltd is a company that manufactures household appliances sold in department stores. The company has experienced a lot of variation in sales volumes and variable costs over the past few years with its 3 models of oven toaster: 31000, B2020 and C2000. The Financial Controller of Myson has hired you to help them better understand the
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A man can paint a room in his house, working alone, in 5 hours. His wife can do the job in 4 hours. How long will it take them to paint the room together

A boat on a river travels 24 km upstream in 4 hours. The return trip downstream takes only 3 hours. You may assume the speed of the current in the river is constant throughout the trip. (a) Write down the simultaneous equations that describe this situation mathematically, clearly defining any variables used. (b) Determine the speed of the boat in

The percent cf cencentraticn at a certain drug in the blcc-detream x heure after the dmg ie 5x sz-i' e. Find the time at which the ccncentraticn ie a maximum. h. Find the maximum concentration. administered is given by le] = e. The ccncentraticn will be maximized at x= |:| hcurle}. h. The maximum cencentraticn ie DEE

An ordinary (fair) die is a cube with the numbers1 through6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.Compute the probability of each of the following

1. Find the radius of convergence, R, of the series R= _________ Find the interval, I, of convergence of the series. (Enter answer in interval notation.) I = __________ ---------------------------------------------------------------------------------------------------------------------------------------------Problem 2. Find the radius of

Discover one aspect of the historical or cultural context around Benjamin Banneker Research the math, the history and the cultural influences of Benjamin Banneker You must use at least 5 high quality sources. Do some research on your topic and craft a Thesis Statement, in which you take a position on how and why your chosen mathematical topic and

1) solve 3y'(t)= -15y(t) with y'(0)=2 y(t)=___________ 2) solve y''(t)=0 with y'(0)=5 and y(1)=3 y(t)=___________ 3) solve y'(t)=ky[1- (y/12)] with y(0)=4 and y'(0)=7 y(t)=____________

Calculate the probability of the wine cooler being greater than 60 degrees
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The graph of g is given to the right. Which of the below graphs is a graph of its derivative g ' ? \f
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Maria spends $13 dollars on lottery tickets every week and spends $120 dollars per month on food. On an annual basis, the money spent on lotter tickets is what percentage of the money spent to buy food?

Provide the reasons for the proof. Given: m angle 1 = m angle 2 Prove: line AB is perpendicular to line BD

Suppose that is a set of (Boolean) formulas and A and B are two (Boolean) formulas. (a) Show that if |- A B, then |- A and |- B . (b) Is it true that that |- AB, then |- A or |- B? If yes, then give a (meta)proof. If no, then give a counterexample for appropriately chosen ,A,B . This is a Boolean logic question for mathematics and computer science

Issue 1]: Mary wants to help pay for her granddaughter Beth's education. She has decided to pay for half of the tuition costs at State University, which are now $11,0[i per year. Tuition is expected to increase at a rate of T-\"ii: per year into the foreseeable futnre. Beth just had her 12th birthday. Beth plans to start college on her 13th
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Find the first 5 terms of the sequence:a n = 2n + 7

A rubber ball is dropped from the top of a hole. Exactly 3.5 seconds later, the sound of the rubber ball hitting bottom is heard. How deep is the hole?

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3. What is meant by the "pure play" approach to estimating the required return an an inveatrnent
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left In a patient's body at the end of the nth dosage perled he glven tlv: (observe that each dose ls 5mg) 1- ee4 (6 le 41.4)\" 5 .4 If the drug daslng scheme could centlnue forever, then the llmltlng eventual maximum residual drug level and the limiting eventual maximum drug level are respectfully given tlv
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In 1990 the number of driver deaths per 100 000 for the different age groups was as follows ( Source : The National Highway Traffic Safety Administration's National Center for Statistics and Analysis ) Age Number of Driver Deaths per 100,090 15-24 25-39 40 - 69 70-79 80 + Table 12.2 a . For each age group , pick the midpoint of the interval for
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How are direct and inverse variations used in everyday life? Provide examples for each.

How do I solve this problem? The height of a triangle is 2 more than twice the base.The area is 20 square feet.Find the quadratic equation that represents this situation if the formula for the area of a triangle is A= 1/2bh

1 ) Assume b = 0 05 is a constant for all i in the BDT model as we assumed in the video lectures . Calibrate the ai parameters so that the model term - structure matches the market term Structure , Be sure that the final error returned by Solver is at most 10 - 8 . ( This can be achieved by rerunning Solver multiple times if necessary , starting
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Consider the sensitivity report below for a cost minimization problem. a) What is the value of the objective function for the optimal solution? b) What will be the change in the objective value if the phosphate required in the fertilizer is increased by 18 units? Round your answer to 1 decimal place. c) What will be the change in the objective
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#B Carmin Kovach is single and has two children from her previous marriage. Anil-ca. 9. lives with Carminjulius. 11. lives with his father. Ray. Carmin pays alimony of $400 per month to Ray. The payments are to continue until julius reaches age 19. when they will be reduced to $100. Carrnin is 34 and employed as a nuclear engineer with Atom
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1. You have seen how nominal and numeric attnbutes are specified in an M le. Consider a feature called NUA-I_OF_DEPENDENT, which in the data le can take any value om the set {(11,131}. In the ARFF le, this feature could be specied as: @attribute DEPENDENT Numeric or as: @attribute DEPEN DENT {D,1,2,3} What is the difference between the 2
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The weights of a population of adult mice are approximately normally distributed with a mean of 19 grams and a standard deviation of 2.5 grams. A. Between what weights are the middle 68% of mice in this population located? Betweengrams andgrams B. What percentage of the mice weigh more than 14 grams? % C. What percentage of the mice weigh between

"Paul's Guitars always sells for Less" is a music store in Acoostic, Alberta. Their overhead expenses are 20% of cost. They recently sold a guitar for $349 and the mark-up on that guitar was equal to 30% of the selling price. How much net profit did they realize on that sale?

What are the step by step in factoring the polynomial x^2 - 9x

1.Jenny deposits $867 into an account earning 5.309%, compounded weekly. (a) What will be her account balance in 14 weeks? (b) How long will it take for the account balance to grow to $1,500? 2. Chell lends $500 to a friend for 8 months. What simple interest rate should she charge if she want to be paid back a total of $535?

Solve this problem in a system of equation by substitution or elimination: University theater sold 556 tickets for a play.Tickets cost $22 per adult and $12 per Senior citizen. If total receipts were $ 8492, how many senior citizen tickets were sold

malcolm's boss is mad at him because he puts 5 meat balls in every sandwich instead of 2 how many extra meatballs does malcolm put in each sandwich

Baskets, Inc., is planning to introduce a new woven basket.The company estimates that the cost (in dollars) to manufacture x baskets will be C(x) = 5x + 2340, x 0 and the price-demand function, in dollars per basket is p(x) = 40 - 0.1x dollars, 0 x Please answer the following: a)Find and interpret C(0). b)Find and interpret C(100). c)Find and

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Give the values off]. and B for The function fix} to be continuous at born 3:: = 1 and x = 4. x}: |' H | IAxBExBAmll{x{4x24 a)A=43ndB= b)A=3anoE=1 E)A=SandB=1 d)A=4andE=1 E)A=dandB=2
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In our modern era, digital television is a norm, and most homes have HDTVs. HDTVs are usually rectangular in shape and have a standard aspect ratio of 16:9. Please respond to the following questions. Illustrate with a graph the relationship between the diagonal and the area of the screen. Please make sure your graph is appropriately labeled.

Construct a 4 X 4 matrix, A, with the following property: The 16 entries ofA must include exactly: 6 zeroes, 5 ones, 4 twos 1 three. Your entries may be placed in any position within the matrix. (i) Construct the directed graph, G, whose adjacency matrix is the matrix A. Label your vertices a, b, c, d. (ii) Construct the matrix, A2. (iii) Explain
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Show x x ( k ) < = T k / ( 1 T ) x ( 1 ) x ( 0 ) if ||T|| <1 for any matrix norm, where the sequence {x^(k)}inf k=0 is defined by x^(k)=Tx^(k-1)+c and c is a given vector

4. Find the inverse of ???? = [ 1 2 0 3 4 2 5 0 2 ], if it exists. 5. Find the matrix ???? if [ 2 1 1 3 ] ???? = [ 3 2 1 4 ]

Reduce the given matrix. left bracket Start 3 By 3 Matrix 1st Row 1st Column 1 2nd Column 3 3rd Column 4 2nd Row 1st Column 4 2nd Column 12 3rd Column 16 3rd Row 1st Column 5 2nd Column 15 3rd Column 20 EndMatrix right bracket 1344121651520 What is the reduced form of the given?matrix? Reduce the given matrix 1 3 4 4 12 16 5 15 20 What is the
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Unit 5 Problems Application problems including rational equations. Set up a rational equation and then solve the following problems. 1. A positive integer is twice another. The sum of the reciprocals of the two positive integers is 3 E . Find the two integers. 2. A positive integer is twice another. The difference ofthe reciprocals of the tvvo
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1 1. (Ch 9.1} True or False? A test with a high probability of making a Type II error must have a low power
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cos(x) + y sin(x) 11103) , a: > 0. 4.(5pts) Classify the differential equation 3/ = (a) linear (b) separable (c) exact (d) autonomous (e) none of the above
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Which of the following statements is FALSE ? The t - test to test a hypothesis regarding the equity of two population means it assumes the variable is normally distributed b sreferred to a t - distribution which is completely determined by its degrees of freedom and which depends upon the number of observations in each sample In1 assumes the two
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The dollar value v (t) of a certain car model that is t years old is given by the following exponential function. v (t)=27,500(0.84) t Find the initial value of the car and the value after 10 years. Round your answers to the nearest dollar as necessary.

The graph of f is given to the right. Which of the below graphs is a graph of its derivative f ? ' ? \f
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Find the area between two curves for the equations below and round your answer to once decimal place. y=x^2+9x-4, y=x+3

I would like to get the answer to this question but in step by step ? \f
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Systems of equations solove for x and y 2x-5y=-3 -x+2y=3 \f
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31. If the Table 6 Seasonality Index and Scheduling May June July Aug Sept Oct Nov. Dec. Jan Feb March April 8.3% 8.3% 8.3% 8.3% 8.3% 8.3% 8.3% 8.3% 8.3% 8.3% 8.3% 8.3% 11.6% 10.4% 9.2% 8.3% 7% 6.6% 6.4% 5% 7% 8.5% 9.5% 10.5% 1392 124.8 110.4 99.6 84 79.2 76.8 60 84 162 114 126 28. Please calculate the seasonality indexes and fill out the table
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You have a choice of four (4) cable diameters: 0.05 in, 0.125 in, 0.250 in, and 0.375 in, and each cable can support a maximum tension of 600 N, 900 N, 1100 N, and 1400 N, respectively. You also have a choice of three (3) designs for the traffic lights. The first design has a mass of 8.0 kg, the second design has a mass of 10.0 kg, and the third
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Built in 1599, the Globe Theatre was home to William Shakespeare and his performing company, The Lord Chamberlain's Men. It was a circular amphitheater that stood 3-stories tall and had a diameter of 100 feet. What formula can you use to calculate the area of the theatre?

Carrie and Brent leave home at the same time. Carrie drives due east at a rate of 40 mph, while Brent drives due south at a rate of 50 mph. How far apart are they (to the nearest mile) after 5 hours. They are miles apart.

Hello I need help with this please Realiza la siguiente operacin: (2x3+5x212x+6)(4x3+4x2x+3) Marcar esta pregunta Pregunta 2 2ptos. Realiza la siguiente operacin: (7x3+8x217x+9)(4x3+5x24x+2) Marcar esta pregunta Pregunta 3 2ptos. Realiza la siguiente operacin: (x+3)(x+5) Marcar esta pregunta Pregunta 4 2ptos. Realiza la siguiente operacin:

State the domain and range of f(x) if h(x) = f(x) + g(x) and h(x) = 4x 2 + x + 1 when g(x) = -x + 2 A. x -1/4, y -5/4 B. XER, y -5/4 C. X -1/4, yER D. xER , yER

Watch the film PI The director used the " hip hop pill montage' to signify the start of each of Max's migraine headaches. In the montage, extreme camera angels, drastic contrasts in lighting and strange music to makea manic atmosphere until the migraine headache attack is over. The director repeats the same sequence even though the hallucinations

Please help with the following problem: Write an equation of the line through (4,6) and perpendicular to 3y=x6. Write the equation in the form x=a,y=b, ory=mx+b.

Mortgages: 48A $180,000 mortgage at 3.25% compounded semi-annually is amortized over 25 years. Calculate the monthly payments. 49.How long will it take to pay off a $60,000 second mortgage at 9% compounded semi-annually with monthly payments of $1,000? 50.Your car loan payments are $650 per month for 6 years and the interest rate is 3.9%

Write the equation of the line in slope-intercept form, if possible, given the slope and a point that lies on the line. If the slope-intercept form does not exist, enter NA. Enter the exact answer. Slope: m =8 Point: (3,3)

During a sale, a dress decreased in price from $ 400.76 to $ 328.62 Find the percent decrease in the price of the dress.

One disadvantage of this approach is that when a firm decision is not being made to retain or reject the null hypothesis, it is difficult to deal with the concept of type I and (6) _____________ ___ errors. Results of hypotheses are often described as having statistical significance if the (7)____________ hypothesis has been rejected. Statistical

Calculate the monthly repayment on the following housing loan 3 Loan $ 600000 Years 18 Rate 6 % or OG pa compounded monthly Answer to the nearest dolla Selected 8 4 496 Answer Correct 4 549 Answer + 5 Response R Feedback Loan / PVIFAny 12 095
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f. Comment on precision of the confidence intervals computed in part b, c, and d. Answer this question with respect to which of the three confidence intervals computed in part b, c, and d has a higher precision and why
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51 Indicate the different ways an individual could forecast his or her weight 10 years from now. Do these methods Change based upon whether the individual is 5, 14, 24, or 45 years old? If so, why
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Let f(x) = |3x| - 2 Determine the zero(s) of the function. Is f and even or odd function or both?

3. The property tax on a $180,000 house is $1,296. At this rate, what is the property tax on a house that is $240,000? 180, 000/1296 = 240,000/x I80,000x = (I296)(240,000) X = 1728
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Consider the objective function z = 4x + 3y subject to the following constraints: x + y 1 x + 2y 4 2x + y 4 x 0 y 0 Find the feasible region and list the corner points. Corner Points: If there is more than one corner point, type the points separated by a comma. Find the maximum and minimum values of z. Maximum value of z is:___ When x = ___ and y

A bank loaned out 10,000 part of it at the rate of 6% per y ear and the rest at 16,000 per year. If the interest received in 1 year totaled 1,000 how much at 6%

Suppose you are given 30 degree - 60 degree - 90 degree triangle with a hypotenuse of length 2.5 Determine the length of both sides I'm trying to find the length of the first and second leg of the triangle

A company that produces widgets has a fixed cost of $ 400 400 and a unit cost of $ 80 80 per widget. Each widget sells for $ 96 96 . (Use the interactive figure to find youranswer.) Click here to launch the interactive figure. (a) How many widgets must the company produce and sell in order to breakeven? What is the cost and revenue at

you want to buy tile and carpet for the office. you are given the dimensions of the office floor plan as shown. knowing that with installation included tile runs $1 per square foot and office $5 per square foot what is the estimated total cost for the floor coverings installed

For a new study conducted by a fitness magazine, 270 females were randomly selected. For each, the mean daily calorie consumption was calculated for a September-February period. A second sample of 210 females was chosen independently of the first. For each of them, the mean daily calorie consumption was calculated for a March-August period. During

3. Set up a contingency.r table for the appropriate variables given, and then determine the following probabilities: A. SPRSPEND and RESPGEND [variables 4 and 26]: Given that the random respondent is a female, what is the probability that she spends at least 515 during a trip to Springdale Mall? Is a male more likelv or less likelyr than a female
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How do I simplify 8xy^3/12x^2y^2. I just need to know the step by step solving so I can do it by hand

where can i get the best study material to study for the teas 6 entrance exam

{c} What assumptions have to hold for this CVP analysis to be meaningful? How does Activity-Based CVP analysis help to address any of these assumptions? (5 marks]
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The regular price of a pair of jeans is x dollars. Let f(x)=x-5 and g(x)=0.6x. A. Describe what functions f and g model in terms of the price of jeans. B. Find (fg)(x) and describe what this models in terms of price of the jeans. C. Repeat part (b) for (gf)(x). D. Which composite function models the greater discount on the jeans. E. Find f1 and

E. Aasume that the population proportion is {1.45, and nd the sample size that would he required to determine a 95% condence interval if we want to be within [Ll of the true population to ortion. That is, we want the margin of error, e, to not exceed [1.10. i PASTE PHSTAT OUTPUT BELOW
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After paying income taxes of 41%, Brett's annual take-home income was $24,780. Calculate his income before taxes (gross income).

Question 5 (1 point) A widgit factory produced 125 widgits of which 15 were defective.If the widgits are random packaged into boxes of 25, how many ways are there to get a box containing 8 defective widgits? a. 2.57x10 24 b. 8.37x10 29 c. 9.80x10 24 d. 2.48x10 23 Question 6 (1 point) There are 12 boys and 14 girls in a 1st grade class.If the

1. In this exercise, we work through the RSA encryption algorithm as done in lectures, using the same notation. The numbers we use are too small to be used in a real-life application, but we are attempting only to see how the method works. We choose prime numbers p = 23 and q = 47. (a) Find n = pq. (b) The encryption exponent e must be coprime to

How does the life cvcle of an animal differ from that of a nlant
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A ball is thrown vertically upward with an initial velocity of 32 feet per second.If the ball started from a height of 240 feet off the ground, use the following formula to represent the projection of the ball H=-16t 2+32t+240 Where is the height of the ball after seconds have passed. Based on this information, answer the following questions. 1)

Textbooks are exempted from PST in Ontario. If the total cost of a book including 5% GST is $97, how much GST is paid for the textbook?

Bill took out a 8 year loan to buy a car. If the loan carried an annual interest rate of 6.1% and he made monthly payments of $359, how much interest did he pay?

Solve the system of linear equations using the substitution method. Answer as an ordered pair y = 5x y - 2x = 9 y = - x - 8 y = 2x + 4 2x + y = 6 4x - 3y = 12

The Median Income in Gibson County was $46,570 in 2011 and was $63,717 in Boone County. Calculate the relative change from Boone County to Gibson County's Median Income. Write a sentence that interprets the meaning of the relative change value in this context.

3-1? Fixed rnanufactuiing r:Ii..I'erheadI variance analysis [centinualidn ef sis}. Esquire Cicthing ailccates xed manufacturing everhead ta each suit using budgeted direct manufacturing iaiicr-ficurs per suit. Data pertaining tc fated manufacturing euerhead casts for June 2312 are budgeted, lm, and actual. $131915, 1} Ccmpute the spending variance
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3 . A market research manager wishes to verify that a set of nominal data follows an expected pattern . I Which test is appropriate in this situation a . attest if there are less than 3 30 observations and a z - test if there are more than 30 observations b . Kolmogorov - Smirnov test C . Chi -square goodness - of -fit test d . F -test e . None of
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Problem 18 If a corner solution exists: A. Marginal rate of substitution will always be equal to the slope of the budget constraint. B. Marginal rate of substitution will always be less than the slope of the budget constraint. C. Marginal rate of substitution will always be greater than the slope of the budget constraint. D. None of the answer
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Given the function f(x)= 5/8 - 1/8x , find a formula for the inverse function.

The physician has orderedondansetron(Zofran) 0.15mg/kg (max 16mg/dose) IV beginning 30minsbefore chemotherapy. The patient weighs 150 pounds. The pharmacy providesondansetronin 8 mg/2mLvials. How much medication will the nurse draw up?______mL. (round you answer to the nearest 10th.)

1.A Suppose $12,500 is invested in an account which offers 3.25% interest compounded quarterly (4 times a year). (a) Express the amount A in the account as a function of the term of the investment t in years. (b) How much would be in the account in 7 years (assuming non deposits or withdrawals are made)? (c) How long will it take for the initial

. What is the output of the following function def mt1(): n1 = [1] n2 = '1' for i in range(3): n1 = n1 + i*n1 n2 = n2 + i*n2 print('n1=',n1,'n2=',n2) n1=[6] n2= 6 n1= [1, 1, 1, 1, 1, 1] n2= 6 n1= [6] n2= 111111 n1= [1, 1, 1, 1, 1, 1] n2= 111111 n1= 6n2=111111
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Let x and y be two quantities. 1. What does "y is directly proportional to x" mean? 2. What does "y is inversely proportional to x" mean?

(a) Suppose that the tangent line to the curve y = f ( x )at the point (3,11) has equation y = 5 2 x .If Newton's method is used to locate a root of the equation f ( x ) = 0 and the initial approximation is x 1 = 3,find the second approximation x 2 . (b) Suppose that Newton's method is used to locate a root of the equation f ( x ) = 0 with initial

Describe how you could use hypothesis testing to help make a decision in your current job, a past job, or a life situation.Include a description of the decision, what would be the null and alternative hypotheses, and how data could ideally be collected to test the hypotheses.

Can you please assist me in verifying with work if my daughter is doing her geometry correctly Question 1 (1 point) Find: Ila-i 144ng ml is]. glam\": tuglllltl. In vim l: '. 7.1:\" 6m The height :5 m Blank 1: Question 2 {1 point] Find: Iii: gin-nmvu-I ul m;r.1.mgu ' a 2x+i t: 4x+2 C x3+x-2 Question 3 (2 points) liara arm n! :1
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Many homeowners. buy detectors to check tor the inmsrble gas radon :11 their homes. How accurate are these detectors? To answer this question= unit-'ersitj,r researchers placed 12 radon detectors in a chamber that exposed them to 195 picocuries per liter of radon. The detector readings Twere as fol lows : 91.9 9?.3 111.4 122.3 165.4 95.9 193.3
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