Mathematics Questions and Answers November 28, 2019

What are some techniques or advice to solve applications of derivative regarding related rates and for min & max, critical points and extreme values?

A tumor is injected with 0.7 grams of Iodine - 125, which has a decay rate of 1.15% per day. exponential model representing the amount of Iodine - 125 remaining in the tumor after t days. Then use the formula to find the amount of Iodine - 125 that would remain in the tumor after 60 days. A(t)_____________ There will be ___________grams of Iodine

3 x If the slope of a curve at (x,y) is 2 and it passes through the point (4,-1) then its equation is

Level 3: Sketch the graph of each function. ((x + 5) 3, x 1 x+4, x21 Ay 3 6 -4 2 $ $ X

Find the limit and discuss the continuity of the function. 1. lim sin - (x, y)- (25, 4) y lim y COS XY 3. lim (2x2 + v) (x. y)-+(2, 1)

Family income and its percentage spent on food in the case of one hundred families gave the following bivariate frequency distribution. Calculate the coefficient of correlation and interpret its value. Food Expenditure (in percent) Monthly Family Income (Rs.) 2000-3000 3000-4000 4000-5000 5000-6000 6000-7000 10-15 - - - 3 7 15-20 - 4 9 4 3 20-25 7

Workbook 6.1 Lesson 6.1: Permutations and Combinat 1 8. For both , P, and , Cr, n 2 r. Explain why this is true

(3) Discuss the relevant R outputs that are related to a specific question.

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please help me solve this question _ ' m of the region that lies to the right of the v-axis and to III. ' 3 = 2y y\

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The Hypothesis Test used to determine whether two populations have Equal Variances is the A 1 sample t-test B 2 sample 1-test C 2 variances test D Paired t-test E Chi-square Test

Determine the sample size n needed to construct a 90% confidence interval to estimate the population mean when o = 30 and the margin of error equals 5. Click the icon to view a table of standard normal cumulative probabilities. n = (Round up to the nearest integer.)

3) The four periods of a regular LP school day begin at 8:20, 9:40, 12:00 and 1:20. Let h and m represent the vectors defined by the hour (short) and minute (long) hand of a clock, resp. Determine the direction (in or out of the clock face) of h x m at the start of each period

7 1 centimeters. A central angle of a circle whose radius is 14 centimeters subtends an arc whose length is 15 What is the radian measure of the central angle? O 72 O O 36 O 30

A baseball team plays in a stadium that holds 70000 spectators. With the ticket price at $8 the average attendance has been 30000. When the price dropped to $5, the average attendance rose to 35000. Assume that attendance is linearly related to ticket price. What ticket price would maximize revenue? _

The random sample X1, X2, X25 is obtained from an experiment in which the distribution is believed to be normal, The average ofthe Xi is found to be 7.1 and the average of the X? is found to be 78.95. Determine the value of the unbiased estimator 52 otthe variance

A statistics course has 22 students in which 73% passed. At 95% confidence, the upper confidence limit for the proportion students passing with 3 decimal places is

For the given vectors,u and 17, draw the following resultant vectors. a. 2u - 3v c. 3(2u + 20) - 2(21 + 4u) b. Cut = B) + 2 Cut!)

Section 2.7: Problem 4 (1 point) A particle is moving along the curve y = 5V 33: + 4. As the particle passes through the point (4, 20), its w-coordinate increases at a rate of 4 units per second. Find the rate of change of the distance from the particle to the origin at this instant. Preview My Answers Submit Answers

Which of the following could be used as a reference angle for ? 4 O A. O B. 27 4 O C. 37T 4 O D. 4AT 4Which of the following trigonometric ratios is equivalent to sin ? 3 O A. COS 6 O B. COS 3 O C. sin W /y O D. sin 6\fWhich of the following trigonometric ratios is equal to 0? O A. cos IT 0 B. sin 21? O C. cot 317 O D. cos4n Which of the following

Please do everything correct. I will rate it very positive!! Thank you!! 1. [-/1 Points] DETAILS TANAPMATH7 10.3.006. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the horizontal and vertical asymptotes of the graph of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE. ) X y = x2 + 1 NIK X - 1 1

The average value of a data set is 66 with a standard deviation of 20. If we want to classify any data over 8% on both the ends as outliers, will 40 be an outlier? What is the maximum number that will be seen in the list?

For the function y = 4 x 2 + 8 x + 8, at the point x = 8, find the following. (a) the slope of the tangent to the curve (b) the instantaneous rate of change of the function

1 point Find all real values of x such that /(x ) = 0. Ax) = 42-6x 7 OOO00 00 a o Un

The question is in the screenshot below, please show your work. Thank you!

xn 10. The Maclaurin series for a function fis given by and converges to f(x) for I x R, where R is the radius of convergence of the Maclaurin series. Use the ratio test to find R. Write the first four nonzero terms of the Maclaurin series for f, the derivative of f. Express f as a rational function for x I R. Write the first four nonzero terms

Name: . Blaine Nowak Date: 11/9/ 22 PSYC 3402 Take-home Exam 3 Part I: Determine the best hypothesis test to recommend for each scenario presented below. Use the following tests as recommendations: One sample z test, One sample / test, Independent samples t test, Dependent samples t test. (1 point each): 1) A study was performed to test whether

In a correlation matrix, the numbers above and below the diagonal row of 1.00s are a mirror image of themselves. True or False

Statistics and Probability 7 . The typing experiment can be further improved by employing more typists that are representative of the population of typists. Suppose three typists are chosen for the study. Devise an experimental plan and discuss its pros and cons. (Some of the more elaborate plans may involve strategies that will be introduced in

Use limits to find the vertical and horizontal asymptotes of ()= 4/^28+7

Estimate the slope {in yunits per xu nil} ofthe tangent line to the curve. What is your estimate of the slope? Q slope x D (Round to the nearest integer.) 7 \"i

An r-value of -0.28 can be interpreted to mean that: the predictive value of the test is 7.84% accurate. the relationship between the two criteria is causal. the two variables tend to be closely related. success on the first criterion correlated 0.82 with failure on the second criterion.

Suppose a university teacher wants to know whether or not requiring attendance improves student learning. How could she find out? Describean experiment that an instructor might actually use. Reviewthe experiments posted by your classmates. Evaluatethe pros and cons of their proposals, and when applicable, suggest improvements or ask follow-up

What always happens if the values of X in a given sample are all the same? The variance of X is 0 The mean of X is 0 The variance of X is We cannot make any inference about the variance of X

Question 1 (4 points) Listen Add the following vectors by components A 703.1 122.540 B 302.9 9B 214. 820

Use definite integral to figure the area. f(x) = 19 - x2 X C -4 -3 -2 -1 2 3 4 -1

WRITE THE EQUATION THAT DEFINE THE RELATIONSHIP. 17. A silver coin is 28 years older then bronze coin. In 6 years, the siver coin will be twice as old as the bronze coin. Find the present age of each coin.

Can you please help me with the following... Difference between descriptive analysis and regression model. - how they respond to the need for strategy suggestions - how do you retrieve the population behavior? Class: Statistics and Analytics

A rocket is fired at an angle of 73 to the ground and with an initial velocity of 106 m/s. Resolve the vector into its vertical and horizontal components and state the magnitudes of each component. Include a diagram showing all vector directions.

examples and solutions for each topic below: 2. Types of Discontinuity ( Graph, example and solution for each Type)

examples and solutions for each topic below 2. Types of Discontinuity ( Graph, example and solution for each Type)

For the function z (Simplify pur answer.) (Simplify pur answer.) 9y2 8xy, find 1), and fy(

How is the sum expressed in sigma notation? 11 + 17 + 23 + 29 + 35 + 41 Enter your answer by filling in the boxes

Who are the target persona of suburbs such as Keiraville

Choose A, B, C, D, E, F and G such that the following is true for any a and b: (2xy) - x y' ) dyda = [AryB - CaDyE de = (Fx + Gx )dr

A report concluded that the 33% of 1057 youth they surveyed who responded that they plan to start their own business was the highest in the region. They conducted a variety of face to face and phone interviews with youth during their survey. They noted that the margin of error was between 6.6 and 7.8 percentage points, and that "in addition to

Evaluate the following integral using polar coordinates. Sketch the region of integration. Show carefully how you arrived at the new limits of integration. 3

A function fis defined on [0, 1], for positive integral value of r such that f(x) = (-1)"-; where 1/(r + 1)

Just need answer no need for complex explain What is the point of intersection between the line L: (x, y, z) = (-1, 3, 4) + 2 points p(6, 1, -2) & plane P: x + 2 y - z + 29 = 0 O ( 12, 9, 10) O (-19, 0, 10) O Infinite points of intersections

1. Which one of the following is a valid statistical question? a . How many points did LeBron James score in the 2018 NBA playoffs? b . When you call your cell-phone provider's customer service number, how long will you typically be on hold? c . How tall is the Empire State Building? d . How much money did Ivan's family spend on groceries last

Simplify the difference quotient, flath)-f(a) for f(v) = -1202 - 2. h The difference quotient is

2. Simplify the difference quotient, The difference quotient is D. , for f(v) 12t,2

Question 12 2 Points Determine the exponential function with value of 5; increasing at a rate of 5% per year. A y= (1+0.05)* B y = 5(1.05)* C y= 150.05x D y = 50.05x

The radius of a spherical balloon is increasing at a rate of 4 centimeters per minute. How fast is the volume changing, in cubic centimeters per minute, when the radius is 14 centimeters? Note: The volume of a sphere is given by V = (4/3) 173. Rate of change of volume, in cubic centimeters per minute, =

2. Consider the function f(x, y) = x2 + In(y3) * (e8x) - 6xy with b E R, b#0. Determine the critical points (if any) of the function f in the domain R. [8 Marks] 3. Classify the critical points (if any) obtained in the previous question: Maxima, Minima (local and global), saddle point. [8 Marks]

The points A(-1,1,1), B(2,0,3), and C(3,3,-4). Show that this is a right-angle triangle

what is the PVF of normal distribution and form and types of random variables

MCV 4U Unit 6 Test Lines and Planes Date Name: Part D: Application Please show full solutions [20 marks] 23. The plane passes through A(-4, 3, 2) and has a normal n = [3, 8, -4]. Determine the Scalar Form of the plane and determine the exact 3 intercepts. [4 marks]

What percentage of individuals had scores less than or equal to X = 23 ? round to the nearest tenth

A professor using an open-source introductory statistics book predicts that 60% of the students will purchase a hard copy of the book, 25% will print it out from the web, and 15% will read it online. She has 200 students this semester. Assuming that the professor's predictions were correct, calculate the expected number of students who read the

Question 1 4 pts Evaluate: , 3 22 lime>3 :3 Express your answer in three decimal places. 'Next r l

To compute a confidence interval for the mean, population standard deviation unknown. n = 30, and o: = 0.05. enter the critical value with 3 decimal places

Find the value of h(6), where h (x) =f(x) -g (x), f(x) = Vx +3, and g(x) =2VX - 1. Select one: O a. V6 -4 O b. V6-2 O c. - V6+4 Od. -V6+2 (a-f)

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Find the correlation coefficient for the connection between age and height. age: 18 18 19 44 19 22 19 20 55 27 26 42 42 24 23 23 17 22 15 22 19 19 20 38 26 22 20 33 69 17 22 22 33 33 27 height: 67 61 64 68 65 62 64 77 71 64 60 71 64 71 69 67 67 61 67 68 68 55 65 63 64 69 72 66 62 72 70 66 72 63 62 Find the least square regression line for the

1. A student receives test scores of 50, 75, and 90. The student's final exam score is 82 and homework score is 75. Each test is worth 15% of the final grade, the final exam is 35% of the final grade and the homework grade is 20% of the final grade. a) What is the student's mean score in the class BEFORE the final exam? b) What is the student's

The table below shows scores on a Math test 100 70 50 70 80 60 70 50 70 60 90 80 50 80 100 50 70 100 80 90 90 80 30 60 Complete the frequency table for the Math test scores Score Frequency 30 40 50 60 70 80 90 100 Question Help: DVideo

A scientist begins with 80 milligrams of a radioactive substance that decays exponentially. After 20 hours, 40 mg of the substance remains. How many milligrams will remain after 31 hours? Use at least six decimal places during calculations and round final solution to the nearest tenth. Show all work possible

17: Start with the Poisson distribution: Pm = m! a: Verify that Pm = 1. Hint: don't forget the series expansion for et. 0 b: Show that m = u = np. Hint: you have to rewrite the series. c: Show that the standard deviation is vu. Hint: m a mum m! m

If lim f(x) 3 and lim g(x) 16, find

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You are in charge of running the "jury wheel" for an upcoming trial. A jury wheel can be an actual wheel where names are placed and then randomly chosen, or it can be a properly programmed electronic data processing system or device. You've chosen the Giga Calculator Random Name Picker. This site is equivalent to a truly random choice by using a

Help please just the answer would be lovely thank you as quickly as possible Find all solutions on the interval [09 , 360 ). Use exact values. 5 cos x - 5 sin x cos * = 0 Separate multiple solutions with a comma. If there are no solutions please enter, "no solution" exactly

A pharmacologist studying the active ingredient in a particular drug analyzes 10 randomly selected capsules. According to prior research, 0.5% of capsules contain too little of the ingredient. What is the probability that at least 6 of the ten capsules will contain too little of the ingredient? If, in fact, the pharmacologist does find that 6 of

Hi please help me with m assignment please... I promise to give helpful rating after... PLEASE solve the problem like FIRST, SOLVE FOR INNER INTEGRAL THEN NEXT WILL BE ITS DOUBLE INTEGRAL.. PLEASE ANSWER NUMBER 4 AND 5 ONLY PLEASE DIFFERENT TUTOR PLEASE. IVE POSTED THIS QUESTION 2 TIMES SO PLEASE DONT ANSWER IF YOU WILL ANSWER THE OTHER POSTED.

6 Safari File Edit View History Bookmarks Window Help Sat 386p 6224 PM i learn.icu.edu.au 03 68 minutes remaining g 5 OF 20 QUESTIONS REMAINING (D) standard deviation of the population decreases. Question 3 A bakery firm finds that its average weight of the most popular package of cookies is 32% ounces with a standard deviation of 01 ounces What

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QUESTION 4.) A plane traveling at 485 km/h [N60.E] encounters a 75 * 8 points km/h wind that blows it 60 off course. Calculate possible resulting velocities

what is 0.12 as a reduced fraction 0. 12 as a reduced fraction

O. 12 as a reduced fraction

4. (2 marks) For each of the below scenarios, state whether you would rely on a probability found as a long-term proportion from data on many trials, or your own personal probability. Explain your reasoning for each decision. a. A lottery chooses a four-digit number every week. You would like to estimate the probability that a winning lottery

Week 6 Normal Distribution Assume that weights of cars follow the Normal distribution with mean 3000 pounds and standard deviation 800 pounds. 1. Calculate the z-score for a car for which Weight = 3500 pounds 2. Calculate the z-score for a car for which Weight = 2000 pounds

Last year, 854 of the 1,727 residents in a small town owned more than one vehicle. Use this historical data to find the probability that a randomly selected resident in this small town owns more than one vehicle. Please round to two decimal places and enter your answer as a number between 0 and 1.

Using a .05 significance, test the clam that Labs weigh (equal to) 85lb using the following data 74 lb, 80 lb, 82 lb, 78 lb, and 88 lb.

f (xth) - f(x) Find the difference quotient , where h # 0, for the function below. h f(x) = 5x - x-9 Simplify your answer as much as possible. f (x + h ) - f(x) = 0O h X 5

nap Homework: Assignment 3 Question 11, 3.2.35 HW Score: 21.88%, 7 of 32 points Part 5 of 6 Points: 0.67 of 1 Save The given graph shows the temperature T in 'F at a city between 6 A.M. and 6 P.M. -0.6 F/hr 0.6 *F/hr iv) Which of the following is the rate of temperature change at 4 P.M? 11.5 F/hr 1.5 F/hr -1.5 F/hr O -11.5 F/hr 8 (b) At what time

An industrial psychologist administered a personality test for passive-aggressive traits to 150 employees. Each individual received a score from 1 to 5, where 1 was extremely passive and 5 extremely aggressive. of 3 does not indicate or feature. The results are shown in the table. (Hint: Calculate probability as relative frequency) (use 2 decimal

A group of hens lays 69 eggs in a single day. On one particular day, there were 7 brown eggs and 62 white eggs. If four eggs are selected at random, without replacement, what is the probability that all four are brown?

Let X be a random variable with probability density function (-312 + 14 +4) 0

Let X be a random variable with probabi ity density function L 14m 4) fx (r) 64 otherwise. Determine E(X).

1. The table below contains the data for time, in seconds, to answer 50 incoming calls to a financial services call centre. Answer the following questions. 17 15 14 18 5 14 15 6 16 19 15 22 6 19 9 17 11 5 21 18 17 14 12 28 8 16 11 10 5 17 21 11 13 14 25 10 10 13 15 27 19 18 14 23 30 15 20 7 14 11 a. Construct a frequency distribution for the above

. Question 14 2 pts 1 1 0 Details Objective 1.7 6 3- -6 -5 -4 -3 -2 -1 A 4 -4- -5 -6 In the graph above the slope of the tangent at 2 is Question 15 4 pts 9 1 0 Details Could the function in the bottom plot be the derivative of the function in the top plot? Explain your answer. The plot of the FUNCTION (below) -5 -4 -3 -2 2 4 The plot of its

Earte 2.7: Video Practice ucture.com /97930020 #3021209 Score: 175 215 answered (8) Question 5 0/1 pt 9 3 99 0 Details Absolute Value Inequalities Here is a way to remember Share | x | > cor | x | 2c=> OR RESTRAINING ORDER X4 - 3 0 Drive Watch on Youtube 1x /2 3 365 Solve: |3x - 9| 2 8 Give your answer as an interval using whole numbers, proper

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Assignment 7.1: Investigation: The Number \"e" blame: I. Use a calculator to complete the tables As you pick values for a closer and closer to zero. [1 + 113% approaches a value of approximately t3 decimal plant-s] 2. On your calculator1 determine the value of the number e. {You mall,r have to enter en] to display e} The number e a: [9 decimal

Objective: To create a summary sheet or study sheet (cheat Sheet) that will be helpful to you when preparing for the final exam.Format: On one sheet of paper 8.5 X 11, double-sided, summarize all the important formulas, concepts and ideas covered in class. Use the following rubric as a guide for content but organize your sheet in a way that works

\fWhich graph shows the function f (x) = - In (x + 1)? 5 2 O

12. Measures of variability match-up There are multiple ways to refer to or describe a variance or a standard deviation of either a population or a sample. Likewise, each measure has multiple appropriate equations or symbols. The first table consists of alternative ways of referring to each of these measures. The second table consists of equations

How do Probation and Parole Departments use published research statistics to help solve problems and make decisions?

First, calculate and interpret descriptive statistics for each one of your variables. The statistics you use will depend on the type of variables that you are working with (quantitative or categorical). At a minimum, your descriptive statistics should include: For those working with quantitative data, calculate the following for each quantitative

When I'm weighing 27 children what measure of central tendency would be best used to describe this sample? But when I'm weighing 100+ children, what central tendency would be best used to describe this sample

Sales personnel for Skillings Distributors submit weekly reports listing the customer contacts made during the week. A sample of 35) weekly reports showed a sample mean of 18.5 customer contacts per week. The sample standard deviation was 5.4. Provide 90% and 95% condence intervals for the population mean number of weekly customer contacts for the

pls solve with clear explanations Statistics, Exam. December 17, 2020. page 3 Exercise 2 50% of the customers buy product A, 30%% of the customers buy product B and 20%% of the customers of a shop buy product C. All these products come with 2-year warranties. Product A has fallure probability of 0.2 during the 2-year warranty period, the

Grade 12 solutions please MCV 4U Name: Assignment: Curve Sketching 1. Sketch a function to satisfy all of the following: f'(1) = f(-1) =0 f'(x) 0 if 1 >2 f"(x)