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Mathematics Questions and Answers April 11, 2023

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101. We are given three boxes as follows: Box I has 10 light bulbs of which 4 are defective. Box Il has 6 light bulbs of which 1 is defective. Box Ill has 8 light bulbs of which 3 are defective. We select a box at random and then draw a bulb at random. Wha is the probability p that the bulb is defective? C. 13/40 a. 113/360 d. 17/40 b. 119/360
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The mean cost of domestic airfares in the United States rose to an all-time high of $400 per ticket. Airfares were based on the total ticket value, which consisted of the price charged by the airlines plus any additional taxes and fees. Assume domestic airfares are normally distributed with a standard deviation of $100. UseTable 1in Appendix B. a.

1. (15 points) Let A = (1,3,1), B=(1,2,1) and C = (1,1,2) be three points in R3. (1) (7 points) Find the area of the triangle AABC. (2) (8 points) Find an equation of the plane that contains A, B and C
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1.Develop a simple linear regression model to predict a person's income (INCOME) based upon their years of education (EDUC) using a 95% level of confidence. a.Write the reqression equation. b.Discuss the statistical significance of the model as a whole using the appropriate regression statistic at a 95% level of confidence. c.Discuss the

Can you help me with the following and explain how did you get the result? Determine the sample size for the estimate offor the following E=.17,=.90,confidence level=99% E=1.45,=5.28,confidence level=95% E=5.65,=18.20,confidence level=90%

Use the modern square of opposition to determine whether the following argument is valid.Explain why it is or isn't and how the square determines or does not determine this. 1 It's false that no humans are things that live forever. 2 So, some humans are things that live forever. Perform obversion on the following statement and explain why the

4. Three cards are drawn in succession, without replacement, from an ordinary deck of playing cards. Find the probability that the event A, n A, n A, occurs, where An is the event that the first card is a red ace, Az is the event that the second card is a 10 or a jack, and As is the event that the third card is greater than 3 but less than 7
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An elementary school class had to take standardized exams in mathematics and reading. Of the 30 students in the class, 21 passed the mathematics exam, 18 passed the reading exam, and 16 passed both exams. What is the probability that a randomly selected student in the class passed the mathematics test or passed the reading test. Write answer as a

Name: Section: 1. Write each of the following sets by listing their elements between braces. (a) {rez: -25x 6} (b) The domain of the function f(x) = VI - 2 3. Find the following cardinalities. (a) HEZ: 12
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When talking about the normal distribution, what is skewness, and kurtosis?

Please show all the formula's andsteps 186 | NORMAL PROBABILITY DISTRIBUTION 19. A population of measurements has a mean of 1.450 inches and a standard deviation of 0175 inches. If a large number of samples of size n = 5 are taken from the population, a. What is the mean of all the x values? b. What is the standard deviation of all the x values?
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The function h(x) = (x + 6)" can be expressed in the form f(g(x)) where f(I) = , and g(I) is defined below: g(x)=
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1. The product length is a critical quality characteristic. The dimensions must be correct in order for the product to fit and be functional, so that customers can use this product. Therefore, length is a aritical dimension and must be controlled. Column A shows the length of the last 50 parts produced
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5.54 Rejecting versus failing to reject an invitation: Imagine you have found a new study partner in your statistics class. One day, your study partner asks you to go on a date. This invitation takes you completely by surprise, and you have no idea what to say. You are not attracted to the person in a romantic way, but at the same time you do not

16.Statement 1 - Batch-level activities are performed each time a unit is produced.. Statement 2 - When combining activities in an activity-based costing system, batch-level activities should be combined with unit-level activities whenever possible. Statement 1 is correct Statement 2 is correct Both statements are correct Both statements are
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Function Acceptable range Expectations per Discharges X Total Images # of full time worked hour images per divided by employees (to (mid-range) record mid-range = 2 dec.places) work hours Prepping 340 - 500 images Scanning 1,200 - 2,400 images Quality Control 1,700 - 2,000 images Indexing 720 - 800 images Based on 160 hours per full-time employee,
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A some association On-Line Discount Broker Survey polls members on their experiences with discount brokers. As part of the survey, members were asked to rate the quality of the speed of execution with their broker as well as provide an overall satisfaction rating for electronic trades. Possible responses (scores) were no opinion (0), unsatisfied

hello I need help solving this (1 point) For the function f(x) = -1x3 + 12x + 10, find all intervals where the function is increasing: f is increasing on (-INF, -2]U(2, INF) (Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or (1,5), (7,10) .) Similarly, find all intervals where the function is decreasing: f is
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Factor the trinomial completely. If the trinomial contains a greatest common factor (other than 1), factor out the GCF first. 4 x squared plus 28 x plus 404x2+28x+40

Permutation tests give a better estimate of the true p value except when A.The assumptions about the underlying population distribution are violated B.The sample data it is based on is representative of the population of possible data C.Variance is low D.The mean difference is high E.The assumptions about the underlying population distribution are

5. Recent data of the registry of the International Society of Heart and Lung Transplantation indicates a 1-year survival rate of 84.5% after a heart transplant. Usually heart-transplant recipients undergo dozens of heart biopsies in the months and years after their transplant. During a biopsy, a small tube is threaded through the jugular vein in
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What is the answer? as n -> co. Which of the following series converge? Given the series an, suppose that an+1 3 an an n O 0 En?an O none of the above
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Of the 193 students at a college, 35 are sophomores. What fraction of the students are NOTsophomores? a. 158/193 b. 158/35 c. 193/158 d. 35/193

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2. [17 points] Two sides and an angle opposite one of them is given. Determine, explaining reasoning, whether the given information results in one triangle, two triangles or no triangle. b = 2. c = 3. B = 50 a = 3. b = 4 A - 20 a = 3. c = 4 C - 40
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You sell a given product through 1000 shops, and the average revenue for that product is K2.4 per month per shop, with a standard deviation of K3.1. You want to analyze if the offer "take 3, pay 2" would be effective on your revenue. To do that, you introduce the offer in 50 shops for 1 month. Describe which data you would collect and what you

why is Simone De Beauvoir that "women" cannot form a "class" or solidarity with each other wrong

May i have assistance please ' 3. There are 80 students in year 11. 9 students study French and German. 35 students only study French 2 students do not study French or German. (a) Complete the Venn diagram G F (2) (b) Work out how many students study only German. (1) 4 . At a wedding, the guests may have ice cream or custard with their dessert.
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Are the classes correctly constructed (width = 8)?If no, explain why not (you might have more than one reason). Class 42- 50 51 - 59 60 - 68 69 - 77 78 - 86 Are the classes correctly constructed (width = 8)?If no, explain why not (you might have more than one reason). Class 42- 50 51 - 59 60 - 68 69 - 77 78 - 86

Please help answer this question while providing a step-by-step explanation justifying the choice of the answer as being the right one. Thank you \f
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(Note for tutor please answer this comprehensively and give excel workings ) Thank you Nutty Nuts Company produces three nut mixers: Regular, Deluxe and Holiday.Currently Nutty Nuts has purchased the following shipments of nuts at the prices shown Type of NutShipment Amount (lbs)Cost per Shipment Almond60007500 Brazil75007350 Filbert75006750

sir i am stuck for this question (c) A uniform cable hanging over the edge of a tall building is 12 m long and weighs 25 kg. How much work is required to pull 3 m of the cable to the top? (5 marks) (d) Set up (but do not evaluate) the expression for finding the arc length of 2y3 - 7y + 2x - 8 = 0 from A(3, 2) to B(4, 0). (3 marks) ( A total of 20
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You wish to test the following claim (Ha) at a significance level of =0.02 Ho: u= 55.5 Ha: u 55.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of sizen = 80 with meanM=51.8 and a standard deviation ofSD= 15.8 What is the test statistic for this sample? (Report answer accurate

1.)Assume that a sample is used to estimate a population proportion p . Find the 98% confidence interval for a sample of size 81 with 39 successes. Enter your answer as a tri-linear inequality using decimals (not percents) accurate to three decimal places. < p < 2.)Express the confidence interval ( 50.4%,58.8%) in the form of pE % %

When The distribution of GMAT scores in math for an incoming class of business students has a mean of 620and a standard deviation of 15. If you Assume that the scores are normally distributed. Generate 75 random scores from this distribution. Use of a one-way data table is required. You should also include a histogram as well as the average,

i need full solution for this question. Let a E R. let f be a differentiable function at 3. Assume f'(a) at 0. let b = f(a). Then you know that f'1 is differentiable at b and 1 (1\") (b) = m) (1) Now assumefhas all its derivatives. It follows that f('1) also has all its derivatives. Find equations similar to (1) for (f'1)\"(b) and (f'1)'\"(b) in
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Food Product Supplier Information Supplier 1 Name of Supplier Type of Business Food Supplier Contact Information Food Supplier Address Quality Specifications of Food Items/Products Name of Food Product 1 from Supplier Remarks Product Information Specification These must be relevant to food hazards and safety Product Description Includes texture.
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For a standard normal distribution, the probability of obtaining a z value between -1.9 to 1.7 is a.1.4267 b.0.5000 c.0.4267 d.0.9267

Factor the following four-term polynomial by grouping. 2 x plus 6 plus xy plus 3 y2x+6+xy+3y

An apple farm yields an average of 32 bushels of apples per tree when 20 trees are planted on an acre ofground. Each time 1 more tree is planted per acre, the yield decreases by 1 bushel (bu) per tree as a result of crowding. How many trees should be planted on an acre in order to get the highest yield? In order to get the highest yield, trees
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Please help me with a reference to where I might find a good example of how we can use statistics in everyday life. Also, if you could help me identify a possible element of a Statistics course that is most practical benefit to real life situations?

[3+3 = 6 marks] QUESTION 1 a. A bridge is built across a river, as shown below. The bridge can be modelled by the equation y = ax +bx+c, where y is the vertical distance (in metres) from the surface of the water and x is the horizontal distance (in metres) from the point O. BRIDGE RIVER P If the distance between points O and P is 200 metres, and
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A large group of learning - disabled college freshmen experiencing debilitating anxiety before major tests were matched on an index of test anxiety. Members of these matched pairs were randomly assigned to two different groups. The first group was given two weeks of relaxation exercises (Relax). The second group of students was given two weeks of

MATERIALS meter stick (a yard stick will work too) textbook PROCEDURE 1. Use the data table to record your measurements. 2. While you hold the 100-centimeter end of the meter stick, have your partner position his or her thumb and forefinger around the zero end. Make sure that your partner does not touch the meter stick. 3. Instruct your partner to

This week you will decide how you will collect your study data so that it is objective and systematic. Additionally, you will discuss the reliability and validity of your data collection method. The headings in your in your final research proposal paper for this section will be: Setting - which would focus on your data collection from the

For a standard normal distribution, the probability of z 0 is_____. Question 1 options: A) 0 B) -.5 C) .5 D) 1

A hypothesis in statistics is a claim or a statement about a population parameter sample size weather conditions legitimate inheritance sample statistics \f\f\f\f
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Nursing ASSESSMENT TASK 2: ANALYTIC TASK In this task students will analyse the extent to which a Sustainable Development Goal incorporates human dignity and the common good in practical ways. Choose one target from either SDG 13 (Climate Change) or SDG 16 (Peace, Justice and Strong Institutions), and analyse how it accounts for human dignity and
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The questions continue in the next post Let 2 = {a, b, c, d} and P({w}) Xo (W) X 1 ( W ) X 2 ( W ) Y(W) a 12 18 36 12 b OIN 12 18 9 15 C 12 9 12 16 a NIH 12 9 8 8 Let 1 = {0, 1, 2 } and define 7 : 2 - lu {} by t(w) = inf {n El : Xn(@)
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**ONLY 12, 14, 16** Construct the confidence interval estimate of the mean.For number 16 we should find the mean and standard deviation. 7-2 Estimating a 12. Atkins Weight Loss Program In a test of weight loss programs, 40 adults used the Atkins weight loss program. After 12 months, their mean weight loss was found to be 2.1 lb, with a stan- dard
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Multiple Choice Question Salman was able to answer 42% of the questions in a class test. If Salman was able to answer 63 questions, determine the number of questions in the test. Assume that each question was assigned 1 grade point

5. A corporation has a plastic division and an industrial equipment division. For each $1 worth of output, the plastic division needs $0.02 worth of plastics and $0.10 worth of equipment. For each $1 worth of output, the industrial equipment division needs $0.01 worth of plastics and $0.05 worth of equipment. At what level should the divisions
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Another indisputable Friedman victory, praised by critics as well as admirers, was that his rational-behavior explanation of inflation accurately predicted a phenomenon that establishment Keynesians thought was impossible: stagflation , a period of stagnant economic growth with simultaneous high inflation and high unemployment. In 1967, when

The average student loan debt for college graduates is $25,200. Suppose that that distribution is normal and that the standard deviation is $13,700. Let X = the student loan debt of a randomly selected college graduate. Round all probabilities to 4 decimal places and all dollar answers to the nearest dollar. a.What is the distribution of X? X ~

A text message plan costs $9 per month plus $0.24 per text. Find the monthly cost for x text messages. The monthly cost of x messages is dollars. (Use integers or decimals for any numbers in the expression.)
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Actividad integradora 3. Primeras aplicaciones del Modelo Neoliberal Descripcin de la actividad: Investiga las primeras aplicaciones del Modelo Neoliberal y que resultados se obtuvieron. Para el desarrollo de tu trabajo considera la siguiente estructura: Introduccin. La introduccin debe exponer los elementos que consideran esenciales para realizar

27 Questions for 240 Points. Questions 1 - 10 are Fill-in-the-Blank, Questions 11 - 20 are Multiple Choice, and Questions 21 - 27 are Show Your Work. See final Exam Answer Sheet for exam instuctions. Solve the triangle. (3 parts) 1) m B = 60, a = 17 km, b = 16 km Find the exact value. (sum/difference) 7p 3) cos - 12 Solve this equation for 0 q <

Please answer these questions with the information provided 5) The following tables shows the results of a survey given to 150 statistics students. The table shows how often a student did their homework and how well they did in the course. How often homework was completed Grade Earned Often Occasionally Never Total High 21 26 2 49 Average 39 20 6
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discuss your findings and patterns from the 24 Cubes activity. Also, discuss presenting surface area and volume with context. Suggest context that would be appropriate for young learners. Discuss the importance of developing concepts before using formulas

Your grandfather purchased a house for $50,000 in 1952 and it has increased in value according to a function Your grandfather purchased a house for $50,000 in 1952 and it has increased in value according to a function y = v(x), where x is the number of years owned. These questions probe the future value of the house under various mathematical
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Using SAS, fit a linear regression relating natural log transformed medical expenditures (Y) to age (X), allowing for a change in the linear relation at age 65.

find area of square in polynomial whose each side is x+5

Find an equation of the tangent line to the curve at the given point. y=(1+3x), (0,1) A Find the derivative of the function. F(t) = e 9t sin(2t) F'(t) = ge9t sin (2t) + 29t cos (2t) XA Cepheid variable star is a star whose brightness alternately increases and decreases. For a certain star, the interval between times of maximum brightness is 4.6
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17 12 answered Question 11
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When using the F distribution to test variances from two populations, should the random variables from each population be independent or dependent?

discuss presenting surface area and volume with context. Suggest context that would be appropriate for young learners

1. (3 pts) Identify the open intervals on which f(x) = \\/z(z3) is increasing or decreasing. For each critical point, use the First Derivative Test to determine if it is a maximum or a minimum. Then use the Second Derivative test to confirm your result. 2. (2 pts) Identify the open intervals on which f(z) = 2* 242 is concave up or concave down.
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Answer the following questions write each of the following as English sentences . say whether they are true or false a ) VXER , InEN, x120 b ) J n E N , V X E P ( N ) , 1 X 1 P b) for every positive number & there is positive number M for which ( f(x ) -bl m 3 Negate the following Sentences. a ) if u is prime , then on is not a rational number .
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Question Below: 30. Let B ~ Beta(a, b). Use integration by pattern recognition to find E(B* ) for positive integers k. In particular, show that Var(B) = ab (a+ b)2 (a+ b+ 1)
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Suppose the coffee industry claimed that the average adult drinks 1.7 cups of coffee per day. To test thisclaim, a random sample of 40 adults wasselected, and their average coffee consumption was found to be 1.85 cups per day. Assume the standard deviation of daily coffee consumption per day is 0.5 cups. Using = 0.01 , complete parts a and b

4. A device is set to fill bottle of juice with 500 grams. The amount of juice that device pours into bottles has a normal distribution with mean of 500 gram and std of 5. Given this information, calculate the following probabilities: (show your works) a. A random bottle has between 495- 499 grams of juice. b. A random bottle has more than 490

Assuming repetitions are not allowed, there must be exactly three letters, located at the beginning of the license plate, and that the letters can only be vowels, how many passwords are possible? 3 letters and 3 numbers

According to astudy, 84 84 % ofK-12 schools or districts in a country use digital content such asebooks, audiobooks, and digital textbooks. Of these 84 84 %, 6 6 out of 10 10 digital content as part of their curriculum. Find the probability that a randomly selected school or district uses digital content and uses it as part of their curriculum.

We can show that dimensionless drag force is a function of Reynolds number, i.e.: fraction numerator 2 F subscript D over denominator rho v squared L squared end fraction equals f open parentheses fraction numerator rho v L over denominator mu end fraction close parentheses In water tank testing ( = 1000 kg/m3, = 0.001 Pa s) of a scale model of a

If a gas furnace isn't operating despite the thermostat calling for heat, which of the following are among the first things to check for problems? Question 2 options: a) Draft fan b) Thermostat setting c) Power to the furnace d) Valve at gas line outside the house

sir i am stuck for this question Question 3 (a) Use differentials to estimate the change in the function value of y = 4x2 - x when the value of x changes from 1 to 1.02. (4 marks) (b) A delta-connected impedance ZA is given by ZA = ZIZ2 + ZzZ3 + Z3Z1 Z2 Deter- mine ZA in both Cartesian and polar forms given that Z1 = 10 02, Z2 = j10 0 and Z3 = (10
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Construct a grouped frequency distribution for the following data, showing the in miles of the longest rivers in the United States. Use five classes that have the same width. 2540 2340 1980. 1900 1900 1460 1450 1420 1310 1290 1280 1240 1040 990 926 906 886 862 800 774 743 724 692 659 649

In an analysis, we have determined that The Dickey-Fuller unit root test for the series {Xt} does not reject a unit root. The ACF for the series {Xt} has a very, very slow decay. The PACF for the differences {Xt} has significant spikes at lags 1 and 2 (and is negligible at higher lags). Which model is most consistent with these observations? (A)

Which of the following is true? A.If a 90% CI for the mean is (75.3 to 80.9), we would reject H0: Mean=70 in favor of H1: Mean70 at alpha=0.05. B.If a test is run and p=0.0356, then we can reject H0 at alpha=0.01. C.If a 95% CI for the difference in two independent means is (-4.5 to 2.1), then the point estimate is -2.1. D.If a 95% CI for the

Choose all options that apply. What's true about a jigsaw? Question 20 options: a) The head of the saw pivots up and down and from side to side. b) It's used to cut siding to fit around arched windows. c) It has the same range of motion as conventional models. d) It's used to notch out wood deck boards to fit around a post

Among the most threatened habitats in North America are flood plains. Researchers are interested in knowing whether the proportion of birds, reptiles, and amphibians present in flood plains is independent of location. They randomly select several flood plain locations and count the birds, reptiles, and amphibians found in each location. Which

Name 1.1 The Caramel Factory You are the lucky owner of a caramel factory, and interested in automation. Unfortunately, your resources are limited, and you've had to create a fairly primitive machine to sort caramels. The machine his a sensor for reading order forms, but can only be programmed to recognize four numerals. So if its electronic eye
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[Binomials] Suppose according to past data for a small boutique, about 30% of the customers who walk into the store purchase at least one item. a.Today 10 individual customers walked into the store while you are there. How many of these 10 customers do you expect would by at least one item?(hint: expected value formula) b.What is the chance that

1. Menstrual cycle length. Problem 3 calculated the mean length of menstrual cycles in an SRS of 9 women. The data revealed days with standard deviation s = 2.906 days. a)Calculate a 95% confidence interval for the mean menstrual cycle length. b)Based on the confidence interval you just calculated, is the mean menstrual cycle length significantly

The manufacturer of a certain brand of auto batteries claims that the mean life of these batteries is 45 months. A consumer protection agency that wants to check this claim took a random sample of 24 such batteries and found that the mean life for this sample is 43.35 months. The lives of all such batteries have a normal distribution with the

Assume the sample is a random sample from a distribution that is reasonably normally distributed and we are doing inference for a sample mean. Find the area in a t -distribution above 1.5 if the sample has sizen=8 .

question 2.3. conduct hypothesis test to verify if the slope can be considered equal to 0. the t-statistic is________. The p-value is_______, thus we can conclude that______4. based on the regression model, how many books can be expected to be sold if the class size is 30 students. Answer______ D Question 2 2 pts A college bookstore must order
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Standard requirements for a certain drug stipulate that the variance in drug weights must not exceed 0.035 grams squared. A sample of nine units provided a mean of 0.3 grams and a standard deviation of 0.18 grams. Hypotheses test, at a 2.5% level of significance, is to be used to determine whether the variance in the drug weights meets the
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\fLet f be a differentiable function defined on [-10, 10] whose graph, consisting of six line segments, is shown in the figure. Let g be the function defined by g (x) = 1, f (t) dt. 53. (a) Find g (-4) and gli(-6). B i U Font Family . AA- A D F . E . E . 9 54. (b) On what interval(s) is (are) the graph of g both concave up and decreasing? Justify
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Chose a power of LaTeX: i i (with an exponent 13 or higher) that is equivalent to LaTeX: i^3 i 3 . Explain how you arrived at your

lucy wants to know how her fourth grade daughter, monica scored on a test of reading comprehension compared to the population of other fourth graders in the school district luckily, lucy has taken this course and know the z-score will help her understand monica's reading score in relation to the population. monica's reading comprehension score

Math Help please Find an equation in standard form for the ellipse graphed below. - NO & A 6 -5 4 -3 -2 -1, 2 5
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If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 200 feet? (Round your answer to four decimal places.)

please help as soon as possible 1 Find the perimeter of the trapezand 8 cm I em 9 cm Z em Your answer This is a required question 2. Find the perimeter of the triangle 8 cm 4 cm Your answer 3. Find the perimeter of the polygon 4 cm 6 cm 10 cm 10 cm I em 14 cm Your
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Onestudy, based on responses from 1,019 randomly selectedteenagers, concluded that 41 % of teenagers cite grades as their greatest source of pressure. Use a 0.05 significance level to test the claim that fewer than half of all teenagers in the population feel that grades are their greatest source of pressure.

The following chart shows "living wage" jobs in Rochester over a 5 year period. Year 2018 2019 2020 2021 2022 Jobs 662, 550 662, 850 662, 330 662, 030 662, 510 What is the average rate of change in the number of living wage jobs from 2018 to 2020? Jobs/Year What is the average rate of change in the number of living wage jobs from 2020 to 2022?
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Question 8 0 / 0.5 points You want to investigate whether there is a relationship between age and amount of weight lost in a group of 45 women participating in a 12-week diet program. What would be the response variable in this situation? Age_ What would be the explanatory variable in this situation? Amount of weight lost 0.5 / 0.5 points
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Assuming that both populations are normally distributed, construct a 95% confidence interval about 12 (1 represents the mean of the experimental group and 2 represents the mean of the control group). Experimental Group: n=21, x=49, s=4.5. Control Group: n=24, x=40.6, s=13. What is the upper and lower bound confidence interval?

A sample size of 14 is used to find a confidence interval. The number of degrees of freedom needed is ...

Can you show how to solve without a calculator? Does the 4 get distributed into both terms in the denominator or just the first? \f
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