Mathematics Questions and Answers December 22, 2019

Determine the points where the following functions are continuous: Q: Determine the Points where the following functions are continuous : a ) f ( *,y) = Vaz +yz ' ( 71 , y ) + (010) " ( 21, 4) = (0,0) 5 ) h ( x , y ) = 71 2 + 2 ) ( 71 , 4 ) # 10,0 O ( 7 , 4 ) = 10,0

A committee of four students will be selected from a list that contains six Grade 9 students and eight Grade 10 students. a) Show the probability distribution for the number of grade 10's on the committee. (5 marks) b) What is the expected number of Grade 10 students on the committee?(1 mark)

I. Plot the ecdfofthis batch of numbers I, 14, 10, 9, II, 9.

An engine operate at 82% efficiency, transmits 164 horsepower. What is the engine's maximum capacity in horsepower?

A. Determine the mean, variance and standard deviation of each Random Variable. 1. 3 4 12 20 Pla) 0.1 0.5 0.2 0.2 5 10 20 2. P(!) 50% 1296 3896 3. 1/12 1/6 1/3 1/2 Piw 1/2 1/ 10 1/5 1/5

Testing: Ho: p = 0.68 H1:p

Testing Ilop 0.68 111 0.68 Your sample consists of 74 subjects, with 53 successes. Calculate the test statistic, rounded to 2 decimal places Question Help E Message instructor Check Answer

Need help The vertical displacement y (in cm) of the end of an industrial robot arm for each cycle is y = 4t - tan 0.3t, where t is the time (in s). Find its vertical velocity for t = 18s. Its vertical velocity for t= 18s is cm/s. (Round to the nearest tenth as needed.)

Timed Test O 00:26:40 You work at a bakery. In one hour, you used chopped nuts in 3 different recipes. You used 2- ounces of chopped nuts to make cakes, 2- ounces to make pies, and 2 ounces of chopped nuts did you use in these recipes

The following is selected data about the weather for 5 days in April: A B C D E F 1 Date conditions temperature humidity conditions code temp. prediction 2 1-Apr-03 snow 30 0.8 35 3 2-Apr-03 clouds 35 0.7 33 4 3-Apr-03 rain 37 1 H NW NA 42 5 4-Apr-03 clouds 39 0.73 40 6 5-Apr-03 sun 42 0.4 39

The following numbers are based off of the results of the women's 100-meter dash at the 2022 Open. Suppose that times to complete the 100-meter dash are normally distributed with a mean of 13.60 seconds and standard deviation 0.55 seconds. a) What is the probability that a randomly selected individual would complete the race in less than 12.31

Find the present value for future amount of $9860 if the amount was invested at 3.5 % compounded semiannually for 12 years.

Question 9 The probability distribution for the ratings (out of 5 stars) of restaurants in a local town is given in the table below. Determine the missing value. Rating Probability 5 stars 0.19 4 stars 0.26 3 stars 2 stars 0.21 1 star 0.13 a) 0.26 b) O0.21 c) O0.18 d) O0.27 e) O None of the above

Armand's File Armand's Pizza Parlors 250 200 150 Quarterly Sales ($1000s) y = 5x + 60 100 R2 = 0.9027 50 o 5 10 15 20 25 30 Student Population (1000s) SUMMARY OUTPUT Regression Statistics Multiple R : 0.950122955 R Square 0.90273363 Adjusted R Square : 0.890575334 , Standard Erro 13.82931669 Observations 10 - -L. ANOVA -L- -I-. df SS MS F

A patient has been diagnosed with a serious disease. The lifetime of patients with this disease are approximately exponential with expected value of 10 years, after initial diagnosis. a) What is the probability that a patient who is diagnosed today with still be alive 15 years from now? b) Given that a patient is still alive after 5 years, what is

Consider the following linear program problem. Minimize 240X + 280Y Subject to: 5X + 4Y ? 2000 X ? 80 X + Y ? 300 Y ? 100 X, Y ? 0. A graphical representation follows:

8. Thinking, Inquiry, Problem Solving There are 25 students in a Data Management class. Determine the probability that at least two of them share the same birthday. (Assume that every year has 365 days.)

You borrow $18,000 with a term of four years at an APR of 4.8% to buy a truck. What is your monthly payment? How much total interest is paid? (Round your answers to the nearest cent.)

Question 16 Express the confidence interval (68.4 % , 79.6 % ) in the form of p + ME. % + % Question Help: Video Message instructor Check

2. The following table shows the scores on a clerical aptitude test and grades in a clerical skills course for 11 business administration students. Determine the grade in the clerical skills course if a student scores on an aptitude test. Aptitude Test Scores (1:) Skills Course Grades (1}

You are assigned to run a study comparing a new medication (xbar1 = 17.47, n1 = 19), an existing medication (xbar2 = 17.94, n = 18), and a placebo (xbar3 = 13.70, n3 = 20), with higher scores reflecting better outcomes. Use SSb = 210.10 and SSw = 133.90 to calculate the F-statistic

Stephanie is a research student who is using the Kolmogorov-Smirnov test to determine if her research sample is normally distributed. This would mean Stephanie is conducting research with a sample data set of how many cases?

+2 Answer: -+2)i+(et + t-1) j # 8 Given the acceleration vector a(t) = eti + sint j, find the velocity vector if r (0) = i. V (t)= S(eti+ Sintj )at V ( t )= ( et+ Ci)i+ (-cost+ (2)] ex+4=0 - 0810+62= 2 CIE-I - I+ C2=2 C2 =3 KV (t ) = (et-1)i+(-coot+3)

A full-grown male dog has a mean weight of 54.5 lbs with a standard deviation of 6.5 lbs. How common are male dogs of the same breed in the 48 - 61 lb range? Justify your reasoning and solve using normal distribution.

Let f (ac) = - NOH + 6 . Evaluate f (-6). f ( - 6) = Number

Let 6 . Evaluate f ( 6). Number

That drop down bar are the options for all three of the questions being asked When testing a polar equation for symmetry, there are three types of symmetry that you need to test for. When testing each of these types, you must substitute some values of the equation to see if you get an equivalent equation. Please match up each type of symmetry with

Use the following information: n = 8, p = 0.4 to find P(5 )= Note: Round your answer to FOUR decimal places

. Question 24 0/1 pt 9 3 99 0 Details You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 396 cars as they pass by on the four lane freeway. The results are displayed in the table below. Use a level of significance of a = 0.01. a. Complete the rest of the table by filling in the expected

Suppose the distribution of serum cholesterol values in undergraduate men is approximately normally distributed with mean = 190 mg/dl and standard deviation = 40 mg/dl. a) What is the probability of selecting someone at random from this population who has a cholesterol value that is less than 180?

Consider the following hypothesis, Ho : 0= 17 Ha : 0# 17 Use the following information: n = 17, and S = 26, to find the test statistic (step 2 ). Note: Round your answer to TWO decimal places

In a situation where the sample size was increased from 41 to 63, what would be the impact on the confidence interval?

Question 23 A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 8% margin of error at a 99% confidence level, what size of sample is needed? Question Help: Message instructor Check

Question 2 (10 points) Using Gauss-Jordan method, solve the following systems of linear equations whose augmented matrices are given by: 010010 001110 121 a)000011 b)021 000000 001 000000 (6 points) (4 points)

Use statistics and probability, show all processes,many thanks Please do not copy other's answers if you cannot work out this question?? Suppose that X is a standard uniform random variable and Y X = x ~Normal(x, x) for 0

In a constrained NLP, which of the following is NOT necessary for a point x to be a KKT point? O x satisfies the first order KKT condition x is feasible The gradients of inactive inequality constraints at x are linearly independent. The gradients of equality constraints at x are linearly independent

Suppose that X has a Poisson distribution with mean 10. (a)Find P(3 X 8). (b)Find E(X^2). (c)Use a recurrence relation approach to find P(X = j) for j=0,1,2,3 as done in a homework assignment

plete 0.00 out of The following order was written for a child weighing 66 lbs. Order: Morphine 0.2 mg/kg/day p.o. q6h p.r.n, pain. How many milligrams should the child receive per day

Equivalence Relations Week 5 Prove this statement from the definition of an equivalence relation: Let A be a nonempty set and let R be an equivalence relation on the set A . Then, a A, a [a]. a,b A, a R b [a]=[b] For each a,b A, [a]=[b] [a][b] = Also prove the collection C of all equivalence classes determined by R is a partition of the set A.

Seb's salary is $X per annum. The tax system is such that Seb pays a 15% flat rate of income tax on his salary. The tax system is due for reform, and politicians have suggested the following: 1. Any income under $12,000 should be tax free. 2. Anything above $12,000 should be taxed at 25%. Given that Seb will be paying $1,500 more under the new

Prove that LP (f)+LP (g) LP (f +g) for any bounded functions f, g, and partition P of [a, b].

Time left 0:4 Below is a table that shows the number of credits earned for 100 students at York University. The higher the score, the better the performance. What score is at the 65th percentile? Intervals Frequency Cumulative frequency 0-9 17 17 10-19 20 37 20-29 29 66 30-39 18 84 40-49 12 96 50-59 4 100

5. (4 points) Trace or copy the graph of the given function f. (Assume that the axes have equal scales.) Then sketch the graph of f' and f" on the same axes. YA A10. (4 points) Sketch the graph of a function that satisfies all of the given conditions: f (3) = f'(0) = f'(3) = 0, f'(x) > 0if0 3, f'(x) 0ifx 2, f"(x)

can someone help me to determine the 90% confidence interval of the average total cost and the average percentage of stockouts using the answers I got please? it appears it should be in one table but i am unable to solve it

II. Calculate the hazard function for

Construct a scatter diagram using the data table to the right This data is from a study comparing the amount ot tar and carbon monoxide (CO) in cigarettes. Use tar for the horizontal scale 04 8 121620 Full data set and use carbon monoxide (CO) tor the vertical scale. Determine whether there appears to be a relationship between cigarette tar and

please I need help with question 2, 3, 12, 15.

Jayson Conducted a survey and gather data regarding students who came late in school. After assuming that the data is normally distributed, he found out that the daily travel time has a mode of 38.27 minutes with a standard deviation of 7.28 minutes. Determine the Median?

Use the yacca package in R to perform a canonical correlation analysis using the personal and performance sets of variables outlined below. library(yacca) #Example: perceived personal attributes versus professional performance for US Judges help(USJudgeRatings) head(USJudgeRatings) personal = USJudgeRatings[,c("INTG","DMNR","DILG","FAMI")]

C. Using the normal approximation, find P (p

C Using the normal approximation, find P ( p .12). This time use the continuity correction. (3 points) Solution 0.12 x 50060 o.l x50050Ac 0.1 500 10.1 6.7082 6.7082 P z 1.4907) p( z 1.4g07) o.9216

9.30 The following data (in [Drink]) represent the amount of soft drink filled in a sample of 50 consecutive 2-liter bottles. The results, listed horizontally in the order of being filled, were:

True/False Background: a pizza shop owner collected waiting times for the past 245 pizza orders in his shop. From this sample, the 95% confidence interval for the mean waiting time is (11.6, 13.7) minutes. Statement: a customer ordering a pizza from this shop would have a waiting time of between 11.6 and 13.7 minutes 95% of the time

What is the difference between T-stat, T-score, and T-calc? Very confused with each of their terminology.

In the previous question, historical data indicates that there is 30% chance that the lot is poor quality (Scenario1), 50% chance that the lot is fair quality (Scenario2), and 20% chance that the lot is good quality (Scenario3). What is the maximum amount that you would be willing to pay for perfect information?

Question 5: (5 points) a. (1) Prove that It_(x; - x) = 0 where a = 1Dri. b. (2) Prove that s' = or? - ne' where s' = ), (r, - 2)?. c. (2) Prove that if X ~ Bernoulli(p) then Var(X) = p(1 - p)

Question 9 Giving a test to a group of students, the grades and ages are summarized below A B C Total Under 25 16 2 5 23 25 or over 14 17 10 41 Total 30 19 15 64 If one student is chosen at random, Find the probability that the student was 25 or over OR got an "C". Question Help: Video

Instructions Please complete all problems. Unless otherwise noted, each problem is worth 5 points. To obtain tull credit, you must use the methods specified in the course text. Aease, format your work as explained in chapter 2 ot the Frequently Asked Questions (FAQ) document When doing calculations, such as the variance, standard deviation, or the

b. c. El radio de un disco circular de 24 cm esta dado con un error de medicin mximo de 0.2 cm. Use diferenciales para estimar el error mximo en el rea superficial. Se encontr6 que el contorno de un cubo es de 30 cm con un posible error de medici6n de 0.1 cm. Use diferenciales para estimar el error mximo al calcular el volumen del cubo.

If systolic blood pressure for a study involving hypertensive patients is distributed normally with a mean of 144.1 and a standard deviation of 4.7... what are the correct symbols for 144.1 and 4.7? are 144.1 and 4.7 parameters or statistics? are they sample values or population values? what is the probability of drawing a patient from this study

What is the probability of selecting a respondent who does not prefer Lenovo

Q2: Describe the following using Polar, Cylindrical or Spherical Coordinates: Q2: Describe the following using Polar, Cylindrical or Spherical Coordinates 3 2 ) Q = ( ( x ,4 , z ) ERR : Re ty + E

Payment Date 11122 12122 1123 2123 3123 Beginning Balance 293,250.00 293,003.63 292,755.86 292,506.66 292,256.04 Payment 1926.44 1926.44 1926.44 1926.44 1926.44 Principal 246.37 247.78 249.20 250.62 252.06 Interest 1,680.08 1,678.67 1,677.25 1,675.82 1,674.38 Ending Balance 293,003.63 292,755.86 292,506.66 292,256.04 292,003.98

The following numbers are based off of the results of the women's 100-meter dash at the 2022 Open. Suppose that times to complete the 100-meter dash are normally distributed with a mean of 13.60 seconds and standard deviation 0.55 seconds. c) What is the probability that the average time of the 17-person field will be between 13.4 and 13.5

Correlations GENDER GPA GENDER Pearson Correlation 348 Sig. (2-tailed)

Correlations GENDER GENDER GPA Pearson Correlation Sig. (2taild) Pearson Correlation Sig. (2tailed) 216 .348

pls help me this is rush Activity 1. Real-Life Scenarios! What you need Bond paper Ballpen What you have to do 1, Give at least 2 real-life scenarios around you. 2. Identify the parameters given to be tested. 3. Formulate the null and alternative hypothesis

I'm the cash lottery game there are 17 finalists who submitted entry tickets on time. From these 17 tickets, three grand prize winners will be drawn. The first prize is one million dollars, the second prize is one hundred thousand dollars, the third prize is is ten throws and dollars. Determine the total number of different ways in which the

What is the topic you are struggling with the most? Please be specific here. Saying "I don't understand anything" or "I don't understand module 7" are very vague and difficult for people to help with. Instead, try and narrow it down to something like "I am struggling computing Cohen's d" or "I am struggling to determine whether we reject or fail

On my brother's 14th birthday, he was 160 cm tall. Within exactly one year, his height increased by 6%. How tall was he on his 15th birthday? Round your answer to the nearest cm. Do not include the "cm" in your answer. For example, if your answer is 175cm, enter 175.

Based on a small sample of days, a 95% confidence interval for the difference in mean temperature for offices on the 3rdand 4thfloor of the mathematics department is found to be (-2.1,1.7) degrees. a) [2 marks] If you did a test of the null hypothesis that there is no difference in means would you expect to get a p-value greater or less than 0.05?

The quality control manager for ENTA Inc. must decide whether to accept (A1), further analyze (A2), or reject (A3) a lot of incoming material. Assume the following payoff table is available. Scenario1 Scenario2 Scenario3 A1 20 30 90 A2 60 70 10 A3 80 50 40 What action would you choose according to maximax criterion? A1 (Accept) A2 Further analysis

question 3 please quickly thanks! Suppose that a box contains two blue card and three red cards, the three red cards are labeled A, B and C. Suppose also that two of these five cards are selected at random, without replacement. (1) If it is known that card A has been selected, what is the probability that both cards are red? (2) If it is known

Can we conclude, at a 5% level of significance, that a linear relationship exists between the company's Profit (y) and the amount spent on Advertising (x)?

25- A food company is interested in evaluating its current inspection procedure for shipments of 50 identical products. The procedure consists of taking a sample of 5 and accepting the mixture as good if not more than two are found to be defective. What proportion of shipments with 20% defectives will be accepted?

Given: Universal set U = {10,11,12,13,14,15, 16} A = {10, 11, 12} B = {13, 14, 15} C= {x | x is greater than 9 but less than 16} D= {x| x is a multiple of 5, x is greater than 9 but less than 16} Identify the elements of the set after performing the operation/s. Note: Apostrophe ( ' ) means complement. 1.A C 2.B D 3. A D 4. A' D' 5.A B D' 6. (B D)

Regarding your statistics research, note that there is survey response rate. This is because not every prospective participant you send the survey to will respond. What is survey response rate? How will you ensure you get at least 30 participants to complete your survey

Could someone please help me with this question I need a lot of explanation please If S is a compact subset of R and T is a closed subset of S , then T is compact. 1. Prove this using the definition of compactness

Find the measure of the least positive angle that is coterminal with the angle given. Then find the measure of the negative angle that is nearest to and is coterminal with the angle given. 320 4 The positive angle is O 5

I need help computing the standard deviation and variance for the data attached. Current Proposed 76 74 76 75 77 77 74 78 76 74 74 80 74 73 73

1. conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly less than 0.66. Thus you are performing a left-tailed test. the sample data produce the test statistic z=1.139z=-1.139. Find the p-value accurate to 4 decimal places. 2. Test the claim that the proportion of people who own cats is

Suppose Z follows the standard normal distribution. Use the calculator provided, P(c

Suppose Zfollows the standard normal aJstribtion. Ijsethe calculator provided, p (c 0.8473 Carry your intermediate computations to at least four decimal places. Round yout

Find the area of the region described. The region bounded by y=2(x+1), y=3(x+1), and x=4 Question content area bottom Part 1 The area of the region is

How many distinct squares can a chess knight reach after n moves on an infinite chessboard? (The knight's moves are L-shaped: two squares either up, down, left, or right and then one square in a perpendicular direction.)

Explain the correlation coefficient of determination. Include references.

Based on a sample of 240 people, 189 said they prefer "Trydint" gum to "Eklypse". The point estimate is: (to 3 decimals) The 99 % confidence interval is: to (to 3 decimals) Based on this we: O Reject the null hypothesis O'Fail to reject the null hypothesis Question Help: Message instructor Check

If a confidence interval is given from 43.83 up to 61.97 and the mean is known to be 52.90. what is the margin of error? Homework Help. 5DB. Finding margin of error from given confidence interval (DOCX) 18.14 9.07 43.83 4.54

Could someone please help me with this question I need a lot of explanation If S is a compact subset of R and T is a closed subset of S , then T is compact. 1. Prove this using the definition of compactness

3. {10 points) Show that the differential if = $2033: (y2 + whim is net exact, but that (19 = (my2)'1df is exact

4. How many integers between 100 and 1000000 have sum of digits a. equal to 5 b. less than 5

c. What is the probability that exactly ten of the 45 luxury cars sold are silver? d. What is the probability that at least ten of 45 luxury cars sold are silver? e. Find the mean and standard deviation of the number of silver luxury cars sold at this dealership each month

1. Simplify the following expressions: (a) arccosh (cosh r) for r

1. Simplify the following expressions (a) arccosh(cosh x) for x O. (b) sech(arcsinh x) for x e IR.

also what is the probability that a student selected burger king as their favorite? Burger King Mcdonald's Cookout Male 7 25 18 50 Female 14 22 14 50 21 47 32 100 9. How many students were surveyed? 10. What is the probability that a student selected Burger King as their favorite

How much money should be deposited today in an account that earns 7% compounded monthly so that it will accumulate to $13,000 in three years?

Solve the below simutanoues equation -3y2 + 7y5 = 12 4y2 - 5y5 = 10

Why do some studies have 100 participants and others 10,000? What is the right size for sampling? How can some studies with very small samples produce statistically significant results

with solutin please. thank you 3. Find the length of the missing side x in each of the following: 5 A 6 B 40 b) X C A 25 0 c) C 4 4. Find the missing angle 0: 25 5. Solve for the missing angle or side indicated: B C 18 D 14.2 m 62" C 17.5 cm 19.7 cm /57. R 18.2 cm

Given that z is a standard normal random variable, find 2 for each situation. a. The area between 0 and z is .4750. b. The area between 0 and z is .2291. c. The area to the right of z is .1314. :l d. The area to the left of z is .6700

a) [ 2 marks] A data entry error is made that adds an extra zero to one of the values in a data set: Which two of the following statistics would you expect to change the most? Mode, Median, Range, Variance b) [3 marks] A study found that the correlation between mg of caffeine consumed during a day and hours slept the following night was -0.32.

standard deck of cards contains 52 cards. One card is selected from the deck. (a) Compute the probability of randomly selecting a two or queen. (b) Compute the probability of randomly selecting a ten or club

2. Suppose that A is a positive parameter and that the loss is I(A, 6(2)) = (A - 6(2)}2/A. Show that Bayes rule is os(@) = 1/E[A '(x]. Since the solution is given, be sure to justify your

You are doing research on balance and fitness. This research you will need a watch with a second hand.Identify a random sample of n = 12 men and n = 8 women.You must answer this question: How do you establish that this sample is truly random?

17. A soft-drink machine can be regulated so that it dispenses an average of ounces/cup. If the ounces of fill volume are approximately Normally distributed with standard deviation 0.3, what should be set at so that 8 ounce cups will overflow only 1% of the time

Let's expand and continue on this discussion. Under the Basics of Statistics and Data Analysis Resources in your week one learning material is an article Wang, Y., & Hajli, N. (2017). Exploring the path to big data analytics success in healthcare. Journal of Business Research, 70 , 287-299. After reading this article, what can we understand about