Mathematics Questions and Answers March 07, 2020

Calculate the following indefinite integral: In(x2 + 1)da

Calculate the following indefinite integral l)da

Se tienen dos urnas, U1y U2.En la urna 1, hay cinco esferas etiquetadas con lossiguientes nmeros : 3,4, 8, 10, 12. En la urna 2, hay ocho esferas etiquetadas con los siguientesnmeros:1,3,4,7,9,10,11,12. Si nuestroexperimentoes"extraerprimerouna esfera de la urna 1 y despus, otra esfera de la urna 2", determina la probabilidaddeque: ambasesferas

1. a. Explain the difference between an equation and an identity. witdown lies are always equal for any-tha will wormealy involino frigerator while he count on for one variable b. Explain the difference between verifying an identity and proving an identity. Proving An 0

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Use sensitivity analysis to determine which decision is the best when the probability of $1 is 26%, 61%, and 84%, respectively. States of Nature P (1-P) Decisions1 $2 A 28 -10 B 8 23 28 D 10 18 O D, A, C O D, C, A O C, B, A O C, B, A O B. A, D

Name 3 principles of Gestalt Group of answer choices -Proximity, Similarity, Enclosure -Similarity, Proximity, Color -Enclosure, Continuity, Color -Color, Connection, Enclosure

For each of the following data sets, compute the 5-number summary and the Interquartile range. Then,draw the box plot. Recall that the 5-number summary ismin, Q1, M, Q3, max,while the interquartile range isIQR = Q3 ? Q1,which is the width of our box or middle 50% of data.

Your question: 5. The rise time of a reactor is measured in minutes (and fractions of minutes). Let the sample space be positive, real numbers. Define the events A and B as follows: A=( x | x 52.5 ). Describe each of the following events: a) A' b) B' C) AnB d) AUB

Use the TI-84 Plus calculator to find the z -scores that bound the middle 92% of the area under the standard normal curve. Enter the answers in ascending order and round to two decimal places. The z -scores for the given area are and

A score that is 6 points below the mean corresponds to a z-score of z = 2.00. What is the population standard deviation?

What is the probability that the total number of dots appearing on top is 9? (Give an exact answer. Use symbolic notation and fractions where needed.)

The average work week for engineers in a start-up company is believed to be about 60 hours. A newly hired engineer hopes that it's shorter. She asks 10 engineering friends in start-ups for the lengths of their average work weeks. Based on the results that follow, should she count on the average work week to be shorter than 60 hours? Conduct a

Problem 13 Consider that the eighthour concentration of respirable dust for a DO in a particular coal mine has a lognonnal distribution with 0.20 mgim3 and m 0.12 mgm a. What is the expected value of concentration b. What is the pmbability of thc dust concentration exceeding mg,m show work please

Analyze the significance of accuracy, precision, and bias in quantitative research.

1. Convert 743 to base 6. 2. Express 100 in base n where n=2, n=5, n=6, and n=8

An open box is to be made from a eighteen-inch by eighteen-inch square piece of material by cutting equal squares from the corners and turning up the sides (see figure). Find the volume of the largest box that can be made. V = in X 18 -2X X Need Help? Read It Watch It

200 3011 4346 50 655578 702336 8445779 90012 1012 Using the following Stern and Leaf Plot for 31 observations with Stem unit = 1 Leaf unit = 0.1, what are the values for the following measures of spread: (1) Range, (2) Variance, (3) Standard deviation, (4) IQR

Find the mean, median. and mode.... Listed below are the highest amounts of net worth (in millions of dollars) of all celebrities. What do the results tell us about the population of all celebrities? Based on the nature of the amounts, what can be inferred about their precision? 285 200 185 180 175 175 170 170 170 170 a. Find the mean (millions)

Question 14 5 pts Partial Fraction Decomposition can be used to decompose 2 61-7 8x into the sum of two fractions: A B I+C + x- D: Where A, B, C, and D are rational numbers and C and D are both positive. Give the values for A, B, C, and D. A = B = C = D =

ii that for any positive integer k, the function at} = ah cos(ka:) + bk sin{ka:) has energy a: + bi

Use the graphs shown in the figure below. All have the form f (x) = ab. BL CA AD A - X Which graph has the smallest value for b

a) When making a confidence interval for a mean, why do we usually use a t-distribution instead of a standard normal (z) distribution? b) For a given confidence level, explain the difference between t and z and how this difference affects the width of the confidence interval

Find the equation for the tangent to the graph of y at |8, - - 6 X y = sin 16 The equation of the line tangent to the graph of y at | 8, - 6 is y = (Use integers or fractions for any numbers in the expression. Type an exact answer, using radicals as needed

4. Prove that the least square prediction bo blXh is the BLUP.

7. Calculate the 30th percentile of the below observations 1 2 | w 5 6 7 8 21 23 24 24 28 31 35 37

Express the confidence interval (0.074,0.152) in the form of p - E

Express the confidence interval (0.074,0.152) in the form of p E p p E. P (Type integers or decimals.)

L 2.1.3 Quiz: Categorical Data Question 3 of 10 Select the table that shows a frequency distribution. A. None of these O B. Age Weight (in pounds) 15 135 16 140 17 142 O c. Activity Number of students Band 40 Orchestra 32 Sports 51 O D. Weight of fruit Cost of fruit (in oz) 12 $3 16 $4 20 $5

What is the discounted value of $771 .00 paid at the end of every three months for 6 years if interest is 4% per annum compounded annually? The discounted value is $|:|. (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.)

;] Find the volume of the solid obtained by revolving the region bounded by y5 = a: 7 1 = 3 about the yaxis. These two functions intersect at (3, 2) and (6,1)

Model development should be left to quantitative analysts; the model user's involvement should begin at the implementation stage. True False

I need help 2) A Pew Research poll of 328 randomly selected adults found that 62 of them stated that they used Instagram at least once a week. Use a 0.01 significance level to test the claim that more than 20% of adults use Instagram at least once a week

I. Graph the theoretical spectral density of the following AR( 2 ) processes . ( 1 ) $ =-0.1 82 = - 0.9 ( 1i ) 8= 18 P, = - 0.9 (iri ) $ = - 1 $2 = - 0.8

The monthly worldwide average number of nuclear plant critical incidents is 3.5. What is the probability that there will be (a) at least 2 such incidents next month? (b) at most 1 such incident in the next quarter? (there are 4 quarters in a year)

Question 15 QUESTION 15 A population of 31 scores has a sum of squared deviations value of S5 = 190.66. What would be the population's standard deviation? Be sure to submit a numeric response that is rounded to the nearest hundredth (2nd decimal place)

Can someone help me answer this question Use the IVT to prove the following statements a ) Vo+vc+1=2 for some number c. b) the equation below has a root in the interval (2,3) 2/x = x - Vx, (2, 3)

Let X have a normal distribution with mean = 30 and standard deviation = 10. Calculate P(X>40). Round to two decimal places. (4 pts)

Midterm and Final Exam Rankings: Below is a table showing data collected from ten [10] community college students in their ranking of the midterm and the nal exam score in the math class. In the process of calculating the correlation coefcient, students need to compute ZDE . The value of 2 D2 =

"Dykstra et al. (2003) studied 15 female patients with overactive bladder (with or without incontinence). The women were treated with botulinum toxin. A t-test for the difference in urinary frequency pre/post treatment indicated that patients experienced an average of 5.27 fewer episodes per day after treatment. The p-value was less than 0.001".

3 1. Evaluate the iterated integrals, give exact values. (a) (10 pts) In y dydx . 1 1 xy 1 1 (b) (14 pts) [[xy x] + y) dydx 0 0

The table below includes the adult population distribution for the Tri-County North Country Region, according to the U.S. Census.Use a 5% significance level to determine if the raw sample data correctly represents the three counties geographically. County Percent of Adult Population Jefferson 45.4% Lewis 10.5% St. Lawrence 44.1%

For the following function. Find the inverse function and then find the domain and range of the inverse function.

Why does some of the numerical data can't be called interval/ratio?

5. f(x) = tan (x ) Find the x-values, if any, for which f is not continuous. Classify each type of continuity as point, jump, or asymptotic

Price: suggested retail price of the used car in excellent condition. The condition of a car can greatly affect price. All cars in this data set were less than one year old when priced and in excellent condition. Mileage: number of miles the car has been driven Make: manufacturer of the car such as Saturn, Pontiac, and Chevrolet Model: specific

How to get 1.282 as well as 55.13?

Q50 1.282

The region shown in the figure below ( a = 2) is rotated about the y -axis to form a solid. Use the Shells Method to set up an integral equal to the volume V of the resulting solid of revolution, and then estimate the integral using the Midpoint Rule with n = 5 subintervals.

Question 1 > "You measure 50 watermelons' weights, and find they have a mean weight of 80 ounces. Assume the population standard deviation is 14.3 ounces. Based on this, construct a 90% confidence interval for the true population mean watermelon weight. Give your answers as decimals, to two places ounces Question Help: Video Submit Question.

The average height of flowering linden trees in a nursery is 3.23 m. If the heights are normally distributed with a standard deviation of 0.63 m, find the probability that a tree is less than 3.2 m tall. H 0.2934 H 0.481 H 0.891 H 0.686

Help! 10.3 Comparison of Series Name Homework Date Period series. Problems 1 - 6, Use the Direct Comparison Test to determine the convergence or divergence of the 1 1. 2. 3n 3n2 + 2 n=1 n= 1 4n +5 1 Inn 3. 4. n (3n) n +1 n = 1 n = 1 1 5n 5. 6. 23n - 1 2n-3 n= 1 n=2

Let z = Mm, we Answer: ' n+3; 321:. ' away = 0. Calculate the value ofa. such that 623 35563

3. Calculate a t statistic for testing the significance of the slope in the "SleepScores" data where he regression line is Y' = 2.28(X) + 1.42? Report a numeric value to at least 2 decimal places

Which quartile represents the data value that is greater than 75% of the data values? Second quartile Third quartile Fourth quartile First quartile

Let P be the pyramid with height h and square base of length b. Use integration to find the volume of P. Hint: Consider slices that are parallel to the base.

2. Given sec x=11/5 and sin x > 0. Find a. tan x 2b. sin (-x) 2c. csc (-x) 2. Given sec x=V11/5 and sin x > 0. Find a. tan x * Your answer 2b. sin (-x) * Your answer 2c. CSC (-X) * Your answer This is a required

This exercise uses the normal probability density function and requires the use of either technology or a table of values of the standard normal distribution. The cash operating expenses of the regional phone companies during the first half of 1994 were distributed about a mean of $29.3 per access line per month, with a standard deviation of

Show all calculations please! Thank you! Find the slope of the tangent line to the graph of the given function at the given value of x. y = 11x 12 13/2. 1/2 +x ; X = 25 The slope of the tangent line to the graph is (Simplify your answer.)

Use the same scales to construct boxplots for the pulse rates of males and females from the accompanying data sets

Match the shape with its correct data set below: A C Mean = 40, Median = 40, Mode = 40 A Mean = 120, Median = 85, Mode = 63 [ Choose ] Mean = 25, Median = 50, Mode = 77 [ Choose ]

1) Find the derivative of the following functions, please show all steps: 32x a) f (x ) = In x by = (cos x)evx c ) f (x ) = ( V x )sin x d) y = 1 In(x2)

Specify the domain of the function f (:13) = V21: + 14. The domain of f (9:) is a: Click for List v Number

Quiz Me: Quiz Me: 1.2-2 Classify statements involving oontinuity as either true or false. Classify the statement as either true or false. lff is continuous at x = :1, then fid} does not exist. Choose the correct answer below. 0 true 0 false

[7] Are these statements true? If If| is differentiable on [a, b] then f is differentiable on [a, b]. Also, if f(x) is differentiable on [a, b] then If(x) | is differentiable on [a, b]

Consider the function 1%) = 103435) + 1035136) for some positive real numbers a,b>0 with 0.75 1 and 6721 . Suppose f11)=:1 and a==2b . Find all possible values of b . Give them exactly, and no need to simplify

x = t + sin(+ + 2), y = tan(+2 + 2)

x t Sin(t2 2), y tan(t2 2)

Let f(x)=x 4 +2x 3 -4x 2 -10x-5 Find a small interval on x-axis that contain a root of the function f in the interval (0, 3). Use bisecting method to find the root in (a) to an accuracy of 0.05. That is, if the true root is "r" then a solution "s" satisfying the condition |s-r| 0.05 is considered satisfactory.

Define the function [In(x + 1) cosh x + tan x ,x 2 0 f (2) = (sinh x) sec (x - 2) ,x

Assume the random variable x is normally distributed with mean u = 85 and standard deviation o = 5. Find the indicated probability P(72

9. Develop a 99% confidence interval (to four decimals) for the value of the population mean (average time that residents in the community spend exercising each day), based on the sample results. 99% confidence interval is between what two numbers?

Competing gamers in Microsoft's Xbox MMOG generate? 1. Same side negative network effect 2. Cross-side positive network effect 3. Cross-side negative network effect 4. Same side positive network effect

Teacher's Salary The average teacher's salary in a particular state is $54,105. If me standard devialjnn is $10,430, nd the salaries corresponding to the following 2 scores. 3 The salary corresponding to z = 1 is 5 64,535 . Ii: Ii; The salary corresponding to z = 3 is 5-. _

My study has two primary hypotheses that the investigators want to protect with a Bonferroni corrections. The overall familywise alpha level is set at 0.05. What is the Bonferroni-corrected alpha level?

Question 9 Let r(t) be a space curve with r' (t) 0, and T, N, B be the unit tangent vector, principal unit normal vector, and binormal vector respectively. Which of the following is/are correct? P. B . B = 0 Q. T . (T + N +B) =1 R. T X (T + N) =-B O P and Q O Q and R O Q only O P and R O R only

29000 Annual salary (in dollars) 24000 19000 10 Years worked The slope of the line is EX 0 2

ears ed The slope o the lineo

ST. LAWRENCE JEFFERSON ISSUE COUNT PERCENT Coronavirus 74 21.3% Health care 49 11.8% Jobs and the Economy 180 38.7% Race and Ethnic Inequality 82 15.0% Violent Crime 78 13.2% TOTAL 463 100.0% Use the information from the table to test whether 15% of adults in St. Lawrence County identified Race and Ethnic Inequality as the largest issue (as was

I want to know whether self-identified "Jocks," "nerds," or "Miscellaneous" people have differentIQs from one another. Which statistical test will I ultimately end up using? O a. t-test O b. Correlation O C. ANOVA

Show that the two parameter Beta distribution belongs to the two parameter Exponential family . Write it in the canonical form and by using the mean parametrization

The question " Is the population BMI different from 25?" is an example of what type of t-test? a. Two-sample t-test b. Paired t-test c. None of these d. One-sample t-test

The half-life of an antidepressant in an average male patient is 36 hours. If such a patient takes a 100 mg dose of this medication, in how many hours will 65 mg remain in this patient's body? Use at least 5 significant digits in all your calculations and round your final answer to 3 significant digits

4. If a, b E R+, then prove that So x"(1 - x)'dx = So x(1 - x)'dx

4. If a, b e R , then prove that xa(l x)bdx .Tb(l x)adx.

A teacher wants to compare his students' performance on the AP Calculus exam to the national average. What t-test should he run?

3.23. Comfortable Hands is a that features a line o f Winter for the entire familymen. Women. and are trying to decide What mix o f these three of gloves to CAjmfortable manufacturing labor forte is Each works a week. In addition, by union the number Of fulllime employees Can drop below 20. Nonunion, padtime also Can be hired With the following

can someone explain this Write the function in the form f(x) = (x - k)q(x) + r(x) for the given value of k. Use a graphing utility to demonstrate that f(k) = r. Function Value of k f(x) = 15x4 + 10x3 - 12x2 + 8 F ( x ) = H X

Given a sample of n=75, TV sets have a Mean lifetime of 8.2 years and a Standard Deviation of of 1.1 years. A) Find the best Point Estimate of the population mean. B) Find a 90% Confidence Interval for the Mean life of all TV's. (Assuming the sample S.D. is equal to the population S.D.)

AO Reverse the order of integration: NCSU Mathematics 6. (z,y) da dy = f ( 2 , y )

O NCSU Mathematics f(c, y) dc dy

A phone company charges for service according to the formula: y=11+0.03x, where x is the number of minutes talked, and y is the monthly charge, in dollars. The slope in this equation is: The slope's units are: Dollars per Minute Dollars Minutes per Dollar Minutes The y intercept in this equation is: (0, )

2.2 Find the equation of a line 0 With slope ~3 and intercept 10 I With slope 5 and passing through point (-24) o Passing through points (1,3) and (3,-5)

simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 106, and the sample standard deviation, s, is found to be 12. (a) Construct a 95% confidence interval about if the sample size, n, is 26. (b) Construct a 95% confidence interval about if the sample size, n, is 15. (c)

A table in which all of the scores are listed along with the frequency with which each occurs is a _____. Group of answer choices bar graph histogram frequency polygon frequency distribution

Peristiwa Peristiwa C1 C2 C3 C4 D1 75 125 65 35 D2 06 105 60 45 D3 135 120 75 70 Jawab soalan-soalan berikut berdasarkan maklumat dalam jadual di atas. Dapatkan P (D1) or P (C1). Answer: Dapatkan P(D2 | (4)

Find the margin of error for the given values of c, s, and m F 0.95, n 19 Click the icon to view the tdistribution table. The margin of error is (Round to one decimal place as needed)

Calculate the following and explain steps a.Mean deviation b.Quartile deviation c.coefficient of mean deviation Size Frequency 140-150 4 150-160 6 160-170 10 170-180 18 180-190 9 190-200 5

Complete the description of the piecewise function graphed below. 62 7 -6 -5 -4 -3 -2 -1, if -6

Complete the description of the piecewise function graphed below. if if if

Find the exact interest on a loan of $6,000 at 8 % annually for 60 days. $____ (Round to the nearest cent as needed.)

2. Please show all work! 2. According to Census.gov, 10% of all Virginians are living in poverty. If we randomly select 16 Virginians, What is the probability that : (a) 3 of them would be living in poverty? (b) Less than 2 of them would be living in poverty

A study was performed on wear of a bearing y and its relationship to I? =oil viscosity. The following data were obtained. {problem similar to book) 34' x 5 CI 2 ] 5 3 1t] 2 11 2 4 5 (a) Compute and interpret the sample correlation coefcient. (do this calculation by hand} (b) Draw a scatterplot

Evaluate Ex, given the values of x. 2 14 7 88 (Simpl your answer) 11 18 19

Please help with these questions Problem 9. Solve, algebraically, each of the following two inequalities. 3 t > 1 (i)(20mm2)(m+2)50 (ii)5+t_ Problem 10. Let f(:z:) = 8x3 183:2 113: + 15. (2') Factor f($), given that g is a zero. (22') Solve, algebraically, f (3:) = 0

N = 647 was the output here. X= 68 is the required value of x obtained here Suppose we take a random sample of 647 students and find the number, 68, who have taken a statistics course Use 1PropZInt to find a 99% confidence interval of the proportion of students who have taken a statistics course using a classmate's post. Compare it to the 90%

Em uma sala esto reunidos 10 alunos do curso de Engenharia Qumica, 12 do curso de Engenharia Eltrica e 8 da Engenharia Civil. Realizando-se um sorteio, qual a probabilidade de que o aluno sorteado seja do curso de Engenharia Qumica?