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Mathematics Questions and Answers March 31, 2022

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SUGGESTIONS ON WHAT I CAN ADD TO THIS POST DISCUSSION? 7. Given eight students, three of which are females, if two students are selected at random, without replacement, what is the probability that both students are female? F F F M M M M M The probability of selecting a female student first is 3/8 After selecting the first female student, there

A production manager is interested in the difference int he proportion defective being produced on two machines that are making the same product. T assess this difference he takes a random sample of 1-00 items from machine one and has them inspected to determine the number of defects. 15 defects were found. 100 items in machine 2 revealed 25

This is the first part done need help with second part using this information instructions for second part Statistical Analyses- Due Week 7 Select two relevant variables from the GSS dataset based on the identified problem/issue as presented in the introduction portion of the assignment. See Abbott (2017) Chapter 9: Excel Procedures with One-way
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Compressive strength (in thousand psi) was measured on 60 specimens of a new aluminum alloy undergoing development as a material for the next generation of aircraft. 66.4 67.7 68.0 68.0 68.3 68.4 68.6 68.8 68.9 69.0 71.9 72.1 72.2 72.3 72.4 69.2 69.3 69.3 69.5 69.5 69.6 69.7 69.8 69.8 69.9 72.6 72.7 72.9 73.1 73.3 70.0 70.1 70.2 70.3 70.3 70.4

The National Retail Federation conducted a national randomly-selected survey of 8,526 consumers on September 1-9, 2009 asking households how much they plan to spend on Memorial Day. I would like to know if the average amount households planned to spend on Memorial Day is less than $57. The survey found that the average amount that the respondents

A 6000-seat theater has tickets for sale at $26 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $185,400? The number of tickets for sale at $26 should be? The number of tickets for sale at $40 should be?

Please see the below and advise the best answer possible. Solve the formula for the indicated variable. S= x-a/t for x The solution is x= (Simplify your answer)

1. [20 points] A certain species of blue butterflies has an average mass of 405 mg with a standard deviation of 38 mg. Assume the masses are normally distributed. (a) A blue butterfly from the species is found to have mass 355 mg. What is the Z-score for its mass? (b) What is the meaning of the Z-score from (a)? (c) Find and interpret the

A one-bedroom property in SW11 is advertised for rent for 515 for 9 (nine) days. Using solely data from rightmove.co.uk or zoopla.co.uk determine whether this is good deal or a bad deal.

Case Reading Case 4: Ethical Behavior of Business Students at Bayview University During the global recession of 2008 and 2009, there were many accusations of unethical behavior by Wall Street executives, financial managers, and other corporate officers. At that time, an article appeared that suggested that part of the reason for such unethical
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The percentage of people killed in car accidents who were not wearing seatbelts in a given year is shown for 50 states. Construct a frequency distribution using five classes. 33.1 49.3 37.9 70.5 57.5 73.3 72.3 51.2 36.5 63.9 45.5 38.2 71.0 46.6 42.4 39.3 46.0 60.4 35.2 45.3 45.9 55.7 57.4 47.6 33.9 72.7 66.6 52.5 69.2 56.8 60.5 47.5 43.3 62.3 67.1
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Use the information to solve the equation: Does the following rule define y as a function of x? y=x +3 Does the relation define a function? O Yes O No
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The slope of a straight line is always equal to either 1.0 or -1.0. Group of answer choices True False

Consider a population where the level of acetone is normally distributed with a mean of 870 ppb and a standard deviation of 211 ppb. If we choose 45 random people in this population, what is the probability that the mean level of acetone is greater than 870?

Use the Venn diagram to determine the set Upper A union left parenthesis Upper A union Upper B right parenthesis prime. U A B 2 6 7 12 13 16 21 23 26 31 38 46 Question content area bottom Part 1 Upper A union left parenthesis Upper A union Upper B right parenthesis primeequalsStartSet 23 comma 26 comma 31 comma 38 comma 46 EndSet (Use a comma to

What standard normal score is at each of the following percentile ranks? 90th 25th 1st \f
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A study was conducted to find if college students who like a particular color have more friends.20 students from Midland University volunteered to be a part of our study after fliers were sent across campus to participate.We asked students which of three colors (Red, Blue, Green, or Yellow), was their favorite, and how many different friends have
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Picture of the question is attached. Thank you Inverse Trigonometric Functions Find the values of x between 5 and 12 so (a) sin(x) = 0.3 , and (b) sin(x) = O_9 _
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The average annual miles driven per vehicle in the United States is 11.1 thousand miles, with 600 miles. Suppose that a random sample of 21 vehicles owned by residents of Chicago showed that the average mileage driven last year was 10.8 thousand miles. Does this indicate that the average miles driven per vehicle in Chicago is different from

Graph each function and determine whether it is continuous. If discontinuous, identify and describe and points of discontinuity. Then describe its end behavior and locate any zeros.

27. If the coefficient of determination is equal to 1, then the coefficient of correlation a. must also be equal to 1 b. can be either -1 or +1 c. can be any value between -1 to +1 (1. must be -1 ANS: B
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Suppose that the marginal revenue function for a product is given by MR(q) = 400 - 20q, 5
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The shape of the distribution of the time required to get an oil change at a 20-minute oil-change facility is unknown. However, records indicate that the mean time is 21.7 minutes, and the standard deviation is 4.6 minutes. Suppose the manager agrees to pay each employee a $50 bonus if they meet a certain goal. On a typical Saturday, the

Diastolic blood pressures are approximately normally distributed with a mean of 75 and a standard deviation of 10. If we consider samples of 20 patients, what is the 90th percentile of the mean diastolic blood pressure?

In statistics, if a p value is less than an alpha set at 0.05 is it considered significant or not?

Find the minimum sample size n needed to estimate mu for the given values of c, sigma, and E. cequals0.90, sigmaequals9.8, and Eequals1

Distribute x, left parenthesis, minus, 3, minus, x, right parenthesis, .x(3x)

The age of cars in the staff parking lot of a suburban college is uniformly distributed from six months (0.5 years) to 9.5 years. (iii) Height of the rectangle (v) Label for y -axis (words):

*Need help with B please* According to a recentreport, 30% of new businesses in 2013 were started by women and 70% of new businesses in 2013 were started by men. In2013, 30% of new businesses started by women had revenues of$50,000 andabove, whereas 35% of new businesses started by men had revenues of$50,000 and above. Complete parts(a) and(b)

According to a 2009 Reader's Digest article, people throw away approximately 12% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 65 grocery shoppers to investigate their behavior. What is the probability that the sample proportion is between 0.13 and 0.15? Use the sampling distibution

(2) The energy It (in joules) a hummingbrircl exerts is a function of its velocity 2v (in mfs). For 1: > 0, the rate of change of energy with respect to velocity is given by 201:9 2v'1 1'10 ln{v) ' {3.) Compute 11m Ms). Justify your answer using the leading behaviors at innity. 'IJ 00 (b) Compute lim ECU). Justify your answer using the leading
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True/False Indicate whether the statement is true or false. 9. A normal vector to a line is perpendicular to that line. 10. The direction vector of a line is an indicator of its slope. 11. There is no scalar equation of a line in three space. 12. A plane written in scalar form cannot be written in vector form. 13. Lines intersect in a point in
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Problem 3. Roll two fair dice, one red and one blue. Let X be the result of the red die, and let Y be the result of the blue die. Set Z =X - Y. (a) Find the pmf of Z. (b) Find the pmf of Z2. (c) Find the expected value and variance of Z
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Really need help with these 2 questions! A lot of explanation would be great, thank you so much! I'll be sure to give great review :) Consider the following problem regarding a random variable X in two possible cases: (a) Let X be a continuous, nonnegative random variable [i.e f (:17) = 0 for x
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i need help with this find lim x^3+3x^2+2x/x+2 x-- -2 I could not write the lim correctly i did not know how to put the arrow after the x so i wrote it this way

The production of a unit of output has four components the probability that all four components will function, i.e., the product will function with two having a reliability of 96% and the other we have 99% each. What is the overall probability that the output will function is expected to be: Question 5 Answer a. 95.33% b. 97% c. 90.33% d. 99.67%

A Haunted Halloween game consists of all TAs flipping 8 fair coin in succession. In the event that all 8 coins on a TA's turn land on heads, legend has it that that TA will turn into a ghost on October 31. Let us define the following events in the resulting probabilistic space: A: event that the first toss result in Tails. B: event that the fourth

The price of the different bread brand is as follows 87 54 23 12 54, what is the mode of the prices? Select one: a. 44 b. 34 c. 54 d. 24

What are the differences between the Chi-square test and McNemars test?

Find the equation of the line with slope -21 that contains the point (12, -102).

To this point in MTHZEDXSED, we have been learning the mechanics of differentiation and integration, along with some realworld applications. But by far the most important application of calculus is dl'erenai equations. Differential equations are simply equations involving derivatives; and they are solved using various integration techniques.
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The sweetness,y, of the fruit is supposed to be related to the average daily sunshine hours,x. The following data shows the sweetness of the same type of fruit at different locations (sunshine hours). Fit the data to a simple linear regression model. x: 5, 6, 7, 6, 6, 8, 7, 5. y: 9, 10, 10, 11, 12, 13, 12, 8. xi=50,yi=85,xiyi=541,xi2=320,yi2=923.

Show Me The Work Please Math 111 Elementary Statistics Walner Kervens Joseph & | 10/28/20 11:42 AM Homework: Sec 4.2 Save Score: 0 of 3 pts 5 of 6 (2 complete) HW Score: 13.33%, 1.33 of 10 pts 4.2.29-T Question Help Seventy-nine percent of adults want to live to age 100. You randomly select five adults and ask them whether they want to live to age
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You calculate a 90% confidence interval of the difference between the mean GPA of males at BYU-Idaho and the mean GPA of females at BYU-Idaho, Mmale - M female, and get (-0.21, 0.23). What possible conclusion can you make based on this confidence interval? There is something wrong with our computations because the GPA cannot be negative. The mean

A student who is at least seventeen years of age and has a high school equivalency certificate or high school diploma is exempted from the compulsory school law

Suppose that the preference schedule was as shown below, 3 votes 1 vote 2 votes 1st Choice A B B 2nd Choice B A C 3rd Choice C C A Part A: Was there a majority winner? Yes, Plan A Yes, Plan B Yes, Plan C No, there was no majority winner X * Remember that a majority requires more than half of the votes. Part B: Using the Borda Count method, was
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A study was conducted to find if college students who like a particular color have more friends.20 students from Midland University volunteered to be a part of our study after fliers were sent across campus to participate.We asked students which of three colors (Red, Blue, Green, or Yellow), was their favorite, and how many different friends have
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Questions 7 to 9 ge 1: Question / (1 point) N W The number of nails in a box is a continuous random variable? O True O False 8 9 Question 8 (1 point) Saved The binomial distribution can be used to calculate the predication of whether a baseball player will hit a home run during a five- game series 11 12 True False Question 9 (1 point) The volume
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Which type of sampling method is best for a researcher to use when planning to make structured observations about the unit staff response to a patient death? Which type of sampling method is best for a researcher to use when planning to make structured observations about the unit staff response to a patient death? a)Event sampling b)Time sampling

H0 : mu1 - 2 = 0 Ha : mu1 - 2=(not equal) to 0 The following results are from independent samples taken from two populations. Sample 1 Sample 2 n1 = 35 n2 = 40 x1 = 13:6 x2 = 10:1 s1 = 5:2 s2 = 8:5 1)Find t statistic 2) degrees of freedom for t distribution 3) p-value 4) alpha=0.05 what is your conlcusion

En este mundo de operaciones esbeltas, en un esfuerzo por reducir los costos de manejo, acelerar la entrega y reducir el inventario, los minoristas estn forzando a sus proveedores a hacer ms y ms en la forma de preparar su mercanca para los almacenes de distribucin, embarque para tiendas especficas, y presentacin en anaquel. La compaa de usted,

please help Use the function f (a) = 2ac3 - 6ac2 - 18x + 2 to complete all parts of this question. Round your answers to two decimal places. (a) This function has two critical points which occur at OC and c = (Please enter your answers as the lowest number in the first box, the highest number in the second box.) (b) Find the absolute maximum and
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Question 2 (b) Using first principles ( and a change of variables), show that the derivative of an even function is an odd function. Question 2: A spotlight on the ground shines on the wall 12m away. If a man 2m tall walks from the spotlight toward the building at a speed of 1.6m/s, how fast is the length of his shadow on the building decreasing
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Help Please: Designing Motorcycle Helmets . Engineers must consider the breadths of male heads when designing motorcycle helmets. Men have head breadths that are normally distributed with a mean of 6.0 inches and a standard deviation of 1.0 inches (based on anthropometric survey data from Gordon, Churchill, et al.) (5pts) a) If one male is

Please help A company manufactures notebook computers. Its marketing research department, using statistical techniques, collected the data shown in the table, where p is x(thousands) p($) the wholesale price per computer at which x thousand computers can be sold. Using special analytical techniques (regression analysis), an analyst produced the
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sir i am stuck for this question 1. Let X = {1, 3, 5 } and Y = {a, b, c, d). Define g : X - Y by the following arrow diagram. X Y b a. Write the domain of g and the co-domain of g. b. Find g (1), g(3), and g(5). c. What is the range of g? d. Is 3 an inverse image of a? Is 1 an inverse im- age of b? e. What is the inverse image of b? of c? f.
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A friend of yours is considering getting a divorce, but is concerned about how this might affect her 10-year-old daughter. What advice would you give to your friend based on the research from local divorce statistics?

POE Question 6 0/10 pts D 4 $ 99 0 Details An economy has three industries, farming, building, and clothing. For every dollar of food produced, the farmers use $0.16, the builders use $0.1, and the tailors use $0.12. For every dollar of building, the builders use 50.03, the farmers use 50.03, and the tailors use $0.03. For every dollar of clothing
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Calcule el nmero de unidades de existencias iniciales, si se han adquirido 8.000 unidades, se han vendido 17.200 y quedan 9.100 en almacn: Pregunta 7Seleccione una: A. 18.100 unidades. B. No haba existencias iniciales. C. 18.300 unidades. D. 16.100 unidades

Can you please solve this question please thank you very much 12 Use the table shown below to estimate f (x) dx using a Right Riemann Sum o with n = 4 subintervals. 0 1 2 3 4 5 6 7 8 9 10 11 12 f(x) 4 8 -2 1 9 8 -3 6 0 17 3 6 R 4=
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Using traditional methods, it takes 8.3 hours to receive a basic driving license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 12 students and observed that they had a mean of 7.9 hours with a variance of 3.24. A level of significance of 0.1 will be used to determine

CHCDIV002 Promote Aboriginal and Torres Strait Islander Cultural safety TASK 6 I need a list of recommendations, addressed to your Centre manager.Your recommendations should reflect on the potential strategies for improving cultural competence, awareness, and cultural safety within your centre. Include; Names of any Aboriginal and Torres Strait

Let X be a continuous random variable that is uniformly distributed on the interval [ 2, 4 ]. What is P ( X 2.5 ) ?

select the correct data type (discrete or continuous) for the following variables: Question 28 options: The number of candles on the birthday cake The amount of beverage people consumed at the birthday party The total price of the birthday presents The number of people invited to a birthday party 1. Discrete 2. Continuous

1.A random sample of 30 eggs is taken from farms where there may be high levels of radiation detected in the ground. The sample mean weight of these eggs is 61 g with a sample standard deviation of 5 g. a)Calculate a 95% Confidence interval for the true mean weight of infants from this population. b)Interpret the results from part a, given that it

If the target population of your study is limited only to families with low income, what happens to those who are at present with higher income due to job promotion? Question 42 Answer a. Determine adequacy of target population b. Limit to low income families c. Continue to include them in the study d. Consider them extraneous variable

Consider the following hypotheses. H0: p=0.69 H1: p0.69 Given that p bar=0.57, n=100, and =0.10, answer the following questions. a. Determine the critical value(s) of the test statistic. z Subscript =____ What conclusion should be drawn? b. Determine the p-value for this test.

Q7. (16%) A study was conducted to find out how certain disease may affect the blood pressures of patients in various age groups. Randomly selected samples of 80 patients with the disease were divided into three age groups, and their systolic blood pressures (measured in mmHg) were recorded. Below are the statistics. Sample 1 (less than 25 years

Which of these statements is FALSE? A.) The distribution can be summarized by a frequency table. B.) A data set is a characteristic of an individual member of the population that can be measured. C.) A data set is a list of numbers that is associated with context. D.) The distribution describes what values the variables take and how often they

Which of the following statements is most correct regarding diagnosis of intellectual disability (ID)? Group of answer choices The DSM-5 indicates that patients with ID should have intellectual functioning that is two standard deviations below the population mean. The DSM-5 is not useful in the diagnosis of ID because it is a clinical diagnosis.

rian IVIaJUI I CatUICs Build one new school Plan A $132 million Renovate two old schools Build two new schools Plan B $168 million Close all old schools Plan C $127 million Build one new school Renovate one old school The board of trustees needed to decide on which plan to put on the ballot in the bond election. Suppose that the board members
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1. Consider the equation 2x cos(xz) + yz3 - 3xyz = 2. (a) Show that the equation is solvable for z as a function of x and y near the point (x, y, z) = (1, 1, 0). (b) Compute and ax at (1, 1), where z is the function from part (a). ay
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1. Specify the areas below: Area 1 (city/zip code/neightborhood): Parkland Area 2 (city/zip code/neightborhood): Miami Beach Area1 (thousand dollars) Area 2 (thousand dollars) 33076 ($1,399.0 thousand dollars) 33140 ($4,900.0 thousand dollars) 33076 ($2,200.0 thousand dollars) 33141 ($2,940.0 thousand dollars) 33076 ($3,636.0 thousand dollars)

I am in a calc 3 class and trying to solve this homework problem. A triangle is defined by the three points A = (3, 10), B = (6,9), and C = (5, 2). Determine all angles 0A, OB, and Oc in the triangle. Give your answer in radians. (Use decimal notation. Give your answers to three decimal places.) QA = OB = 0c =
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A sample of n = 3 scores has SS = 90. What is the variance for this sample

a) a quadrilateral is a square if and only if its diagonals ______. b) a quadrilateral is a rectangle if and only if its diagonals __________. c) a quadrilateral that is not a parallelogram is an isosceles trapezoid if and only if its diagonals _____.

One year consumers spent an average of $21 on a meal at a resturant. Assume that the amount spent on a resturant meal is normally distributed and that the standard deviation is $6 . Complete parts (a) through (c) below. c. Between what two values will the middle 95 % of the amounts of cash spent fall? The middle 95% of the amounts of cash spent

1.If f(x) =x^3 then f is called a _______________ function. (a)exponential (b)constant (c)power (d)quotient (e)logarithmic 2.Iff(x)=5^xthen fis called a _______________ function. (a)exponential (b)constant (c)power (d)quotient (e)logarithmic 3.Let f(x) = (log x/5^x)^3If you wish to find you must begin by using the (a)power rule (b) quotient rule

MKT B362F Marketing Research Spring Term 2020 Extended Assignment - Extended EssayQuestion MKT B362F Marketing Research Spring Term 2020 Extended Assignment - Extended Essay Due Date: 11 May 2020 (17:00) Weighting: 100 marks (equivalent to 30% towards your final grade) Word Limit: Extended Essay (Within 1,000 to 1,200 words) The overall
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A recent study reported that the prevalence of hyperlipidemia (defined as total cholesterol over 200) is 30% in children 2 to 6 years of age. If 12 children are analyzed, how many would be expected to meet the criteria for hyperlipidemia?

Please help! discuss what your histogram tells you about your data . Please include concepts such as the shape of the graph, the highest and lowest frequencies, the range of the data etc. Please also briefly outline the dataset for the (i.e., this histogram shows the shoe size of men from a sample ...) The database is below and the histogram as
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29. Suppose a company would like to add a function in an existing product, and there are 5 choices. Please calculate index numbers and find the ranks for the 5 functions based on the 8 managers below. Lower numbers indicate higher priority. 29. Suppose a company would like to add a function in an existing product, and there are 5 choices. Please
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If the minimum detectable effect for a 50:50 allocation was 0.20 SD, and we were to change the allocation ratio (sample size in treatment : sample size in control) to 90:10, about what would be the new MDE?Select one from the below options? 0.07 SD 0.10 SD 0.13 SD 0.33 SD 0.60 SD

A trucking firm suspects that the mean life of a certain tire it uses is less than 35,000 miles.To check the claim, the firm randomly selects and tests 18 of these tires and gets a mean lifetime of 34,350 miles with standard deviation of 1200 miles.At = 0.05, test the trucking firm's claim.

This assignment introduces you to the statistical concepts of mean, standard deviation, Grubbs test, F test, and t test. You will compare the accuracy of different methods to measure a room length. You will compare your results with someone else who is measuring a different room length.You will evaluate the methods used for precision and accuracy.

Probability and Statistics (Answer up to 7th decimal point**) And please give the answer step-by-step as I want to know how to calculate the answer, thanks. Q6 . (20%) (a) In property management of shopping malls, a shopping mall is said to have a satisfactory customer service if the mean score of its customer service is greater than 85. The

Approximately 12% of all people are left-handed.Find the probability, to 4 decimal places: It is possible when rounded that a probability is 0.0000 d) exactly none are left-handed

what is the value of y-intercept, then based on the output, would would the regression equation look like? y-intercept = 711.651 the regression equation y = 711.651 +23.083x Explanation: what is the value of y-intercept, then based on the output, would would the regression equation look like? y-intercept is given by the value of the coefficient of

Hi there, for these questions i was able to get the first answer through excel, could you please help me in solving the other 3. Use Excel to find the Standard Normal Probability for the following questions. Don't forget to sketch the normal distribution and shade the required area. a) What is the area in the left hand tail of the standard normal
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Need help with 1,4,6, 8, Convert from polar to rectangular coordinates. 2 VIO. If r > 0 and 0 3 0 $ 2n, convert from rectangular to polar coordinates. 3. 3V/3 3 "2 (4. (-312. -312) Write each equation in polar form. 5. y=- 6. x' + y' = 81 5. 6. 7._ 8. Write each equation in rectangular form. 7. r = -4sec0 8. r = 2cos0-4sing
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Working at home: According to the U.S Census Bureau,44% of men who worked at home were college graduates. In a sample of 510 women who worked at home, 162 were college graduates. Part: 0 / 3 0 of 3 Parts Complete Part 1 of 3 (a) Find a point estimate for the proportion of college graduates among women who work at home. Round the answer to at least

In the article "Foods, Fortificants, and Supplements: Where Do Americans Get Their Nutrients?" researchers analyze the nutrient and vitamin intake from a random sample of 16,110 U.S. residents. Researchers compare the level of daily vitamin intake for vitamin A, vitamin B-6, vitamin B-12, vitamin C, vitamin D, vitamin E and calcium. Unless

A new standard for 30-, 40-, and 50-gal residential gas water heaters includes a flame arrester. This device helps to prevent flashback fires from flammable liquid vapor nearby. The Consumer Product Safety Commission would like to estimate the proportion of homes affected by this safety standard. [3 marks] In a random sample of 575 homes, 235 had

The class started to formulate a hypothesis. Which of the following statements presents an assumption of innocence? Question 49 Answer a. There is no significant relationship between the level of awareness and the level of belief b. Significant relationship exists between the level of awareness and the level of belief c. What is the relationship

1) To balance inventory at Leo's Optometry, customer Gender and Eye Condition were collected and the data is displayed below. Make a 2x2 pivot table with Gender in rows and Eye Condition in columns. Please choose the correct pivot table below. Customer # Eye Condition Gender 1 Bifocals Female 2 Bifocals Male 3 Nearsighted Male 4 Nearsighted Female
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Exponential Growth Exercise 10 points Directions: Answer the problem below and fill out the exponential growth chart. 1) What will be the population of the planet in 2030? The current population is 7,850,000,000 and the annual growth rate is 1.2%. Complete the following chart: N = World population in 2030 No = e = Population in 2030: K= t = Your

When assuming a normal population the best technique for estimating sigma to determine a sample size is Multiple choice question. set =(ba)212 where b is the upper bound and a is the lower bound. set = . to take a preliminary sample and estimate s. set = ba6 where b is the upper bound and a is the lower bou

1. Regression analysis was applied between test scores (Y) and hours studied by the students (X), and the following estimated regression equation was obtained. In(Y) = 50 + 0.2 X Based on the above estimated regression equation: if the amount of hours studied is increased by 1, then the test score is expected to increase by 120 points O if the

A3Q9 A population of score data is normally distributed with a mean of 7.50 and a standard deviation of 0.85. Approximately what percent of the scores will fall between a. 4.95 and 10.05? b. 6.65 and 8.35? c. 5.8 and 9.2? Q10 Outgoing calls at a call centre are completed in 130 seconds on average with a standard deviation of 8 seconds. Suppose

Find the directional derivative of the function (, ) = (^2 + ^4) at the point (2, 3) in the direction of = 3, 4 . Find the maximum rate of change of this function at P and the direction in which this maximum rate of change occurs.

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