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Mathematics Questions and Answers September 24, 2021

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Round to four decimal places please \f\fRefer to the Exhibit Average Income. We want to test to determine if there has been a decrease in the average yearly income of dentists (at the significance level 0.04). Construct the null and the alternative hypotheses for this test choosing the fields below: Ho: / [Select ] [ Select ] H1: H [ Select ] [
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. Which of the following exam scores is better relative to other students enrolled in the course? A psychology exam grade of 85; the mean grade for the psychology exam is 92 with a standard deviation of 3.5 A chemistry exam grade of 62; the mean grade for the chemistry exam is 62 with a standard deviation of 5 An economics exam grade of 67; the

Roger Baker has accumulated $600,000 in his RRSP and is going to purchase a 25-year annuity from which he will receive month-end payments. The money used to purchase the annuity will earn 4.8% compounded monthly. If payments grow by 2.4% compounded monthly, what will be the initial payment?

Use the 2016 marginal tax rates to compute the tax owed by the following person. A married man filing separately with a taxable income of $161,000 Click the icon to view the 2016 marginal tax rates
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explain this: The real part of this expression gives us the cosine identity: cos ( ) = cos cos + sin sin cos()=coscos+sinsin The imaginary part gives us the sine identity: sin ( ) = sin cos cos sin sin()=sincoscossin

Aiming the Communication Device You reach the communication device and are alerted by your computer that the communication device is - - 2.9 _ (1 2.1.9 2 surrounded by a force field that can be described by the equation, == + y\" = ( r + 3 T y) . with 3 the origin being where you located this device. The inhabitants of this planet did not want
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Please answer completely, write neat and explain steps 1. Find Eff(t) } a. Write f(t) as a linear combination of unit step functions and use Theorem 7.3.2. 0
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Please help solve both with step by step explanation. thank you in advance 15.Consider the points A(1,0, 1) and B(0,2, 3). a. Determine the parametric and symmetric equations of the line that passes through the two given points. [4 marks] b. Write the parametric equations of a different line that is parallel to the line above. 16. Determine the
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Please solve the 1 (a) - (f) and add some explanation against your solution . Part 1 1. For each of the following, solve for the stated variable or expression. (a) 1- x - = b; solve for x in terms of b. (b ) P - I - P = b; solve for r in terms of p and b. (c) P 1 - p = exp(b) = e; solve for r in terms of p and b. (d) exp(a) exp(b) exp(c) = exp(x);
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hi plz help. quick quick plz. 3/3 Points] DETAILS PREVIOUS ANSWERS MY NOTES ASK YOUR TEACHER For the given scenario, use the drop downs to choose the appropriate test (1 - 5), test statistic (z or t), and the number of degrees of freedom. Choose 0 for the degrees of freedom if degrees of freedom does not apply. The possible tests are: 1. 1 sample
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If a series of rigid transformation maps

The story of Jeneba Tarmoh and Allyson Felix from the introduction to this lesson gained international attention. It serves as an example of how sometimes, continuous data, such as a time-scored race, fails to produce a winner. Read the article (https://olympics.time.com/2012/07/03/felix-vs-tarmoh-dead-heat-why-tracks-big-night-went-caput/print/),

which of the following would not be a correct description of slope tiple Choice lify the choice that best completes the statement or answers the question. 1. Which of the following would not be a correct description of slope? a surface of which one rise or side is at higher run The height that a line rises. than another : C. How gently or steeply
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Pet Ownership Over the weekend 500 people came in to PetWorld to 5% 4% buy something for their pet. The circle graph at the 6% right displays the different types of animals the 500 Dogs people owned. Cats Find the central angle of the percent of people who Fish owned dogs. 30% 55% Rabbits degrees Rodents
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**Q.2 ** Universal Bank is a relatively young bank growing rapidly in terms of overall customer acquisition. The majority of these customers are liability customers (depositors) with varying sizes of relationship with the bank. The customer base of asset customers (borrowers) is quite small, and the bank is interested in expanding this base

I need help with all steps of my PSYC Lap project. I have the directions but how do I attach it. Lab Project Phase 2 - Survey Administration, Scoring, and Data File Creation Instructions PURPOSE: The purpose of this assignment is to administer surveys and create an SPSS data file containing the survey data. SKILLS/ KNOWLEDGE: As a result of

1.Given below are the closing prices for the Dow Jones Industrial Average (DJIA) and the Standard & Poor's (S&P) 500 Index over 10 weeks. Dow Jones 10,421 10,110 9,862 10,475 9,920 10,592 11,213 10,933 11,134 10,316 S&P 500 1,379 1,356 1,343 1,410 1,389 1,463 1,529 1,499 1,516 1,355 The sample covariance between the DJIA and the S&P 500 Index

Lisa is conducting a study to determine how well Memphians have recovered from the recession.Her sample consists of 1,000 Memphis residents.She knows from census data that the mean household income in Memphis is $32,285 with a standard deviation of $5,645. However, her sample mean is only $31,997 with a standard deviation of $6,005. Calculate the

Who voted for the Nazis? Researchers attempted to answer this question by analyzing aggregate election data from the 1932 German election during the Weimar Republic. We analyze a simplified version of the election outcome data, which records, for each precinct, the number of eligible voters as well as the number of votes for the Nazi party. In

Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. Letting R = number of regular gloves C = number of catcher's mitts leads to the following formulation: Max6 R +9 C R +3/2 C 1,000Cutting and sewing1 2 R +1/3 C 300Finishing1 8 R +1/4 C 100Packaging and shipping R , C 0 The computer

The equitable right of redemption exists in every mortgage: Question 1 options: a) regardless of its specific provisions. b) where there is express language creating it. c) unless the debtor expressly waives. d) where there is a statute that provides for it

A combination lock has 40 different positions. To open the lock, you move to a certain number in a clockwise direction, then to a number in a counterclockwise direction, and finally to a third number in a clockwise direction. How many different combinations are there

6. Last year a survey of all the residents of Differentville Indiana was taken with the following results Watches less than Watches 10 hours TOTAL 10 hours of TV per week or more of TV per week Age under 30 20 90 110 30 or over 120 60 180 TOTAL 140 150 290 One of these residents is selected at random. (a) What is the probability that this person
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5) The portion of the universe that has been selected for analysis is called A) a statistic. B) a parameter. C) a sample. D) a frame. 5)
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QUESTION 3 What is the correct general solution of the following ODE, assuming a solution on the domain t>0? Be sure to write a solution that guarantees two linearly independent solutions. du +t + (+2 - 1 ) u= 0 at 2 it O a. u(t) = C1 /1(t) O b. u(t) = C1 /1(t) + C2J-1(t) O c. u(t) = C1 /1(t) + C2 Y1(t) O d. u (t ) = C1 /o(t ) + C2 Yo(t)
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A machine produces sausages with a mean length of 15cm and a standard deviation of 1.5cm. A random sample is taken of 36 sausages made by the machine. What is the probability that the sample mean length of these sausages is greater than 14.8cm?

Identify which of the following formulas applies to the future value of a series of payments, with interest compounded when the payments are made O 1 = Prt OS=R (1+1)" - 1] O A = R 1 - (1 + 1)- O S = Pert O S = P ( 1 + 1)" Need Help? Read It 12. [-/1 Points] DETAILS HARMATHAP12 6.R.049. 0/100 Submissions Used MY NOTES ASK YOUR TEACHER If an
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Lab Data - X PHAN Weigh magnesium metal Mass of magnesium (@) 0.016 Complete the following stops Moles of magnesium (mol) 1 Place weighing paper on balance Temperature of water ("C) 2 Use forceps to place magnesium on Temperature of water () balance. Record exact mass in Lab Data Vapor pressure of water (mmlig) Barometric pressure (mmlig)
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Please help. Write two algorithms for generating a random variable X having the probability mass function shown in the figure below
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Below are speeds (m/h) measured from traffic on a busy highway. This sample random was obtained at 3:30 P.M. on a weekend. Use the sample data to construct a 99% confidence interval estimate of the population standard deviation. 60;63;63;55;63;55;59;58;59;70;62;67. What's the confidence interval estimate m/h

COMP 1805 Discrete Functions Q1)

Multiple Choice: q1. CONSTRUCTION Table: CNSTR ID CNSTR ADDRESS TYPE QLTY_LEVEL STATUS 312 123 Elm Office 2 N 435 456 Maple Retail 1 1 515 789 Oak Residence 3 - 210 1011 Birch Office 3 111 1213 Aspen Office 4 1 460 1415 Beech Warehouse 3 3Decision Financial Market Alternatives Behaviour Small No Small Large Large Rise Rise Change Fall Fall Invest
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[15 marks] Problem 1: Find a root nearx = 2 of x = 2sin(x) using Newton Raphsons method Do 3 iterations. [15 marks] Problem 2: Solve the illowing system of equations using the GaussSeidel method. Rearrange the equations if needed for convergence. Do 3 iterations only. Choose: [X1 X2 X3] = [0.9 1.2 2.5] as the initial guess. NOTE: no need to
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Need help please Suppose a researcher conducts an analysis of the relationship between cardiovascular disease and type II diabetes. The basic summary of the findings are presented in the following table. PatienmI (kg/ Hypertension Diabetes Smoking Education Alcohol Religious Ethnicity m2) KY/N) Type II (Y/ status Status >2 Background AA, W, A, H,
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Would you please help me with these questions: A town's population has been growing linearly. In 2003, the population was 66000, and the population has been growing by 2200 people each year. Write an equation for the population x years after 2003. P(x) = PreviewLast year, Pinwheel Industries introduced a new toy. It cost $8600 to develop the toy
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Question 24 (2 points) The Durham College book store has orders 11,754 books for last semester. At the end of the semester there were 1,710 books left. What percentage of books were sold at the bookstore? *** Express the answer as an integer
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Question 14 0/1 pt O 2 Consider the multiplication problem: 26 x 49 Use the lattice method to multiply these numbers. Fill in the lattice on your own paper and then state what each of the numbers of the lattice are. If there a two numbers in a triangle or a semi-circle, enter the sum of the two numbers for your answer. Show all work using the
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Gauss elimination system of equations. E 8 points. Consider a curve on the plane given by the polar equation 'r = 1 + 'r'sin. Find its equation in Cartesian coordinates, sketch the curve, and write down the name of the curve. \f
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Determine whether the relation is a function. Give the domain and range for the relation. StartSet left parenthesis 7 comma 9 right parenthesis comma left parenthesis 7 comma 10 right parenthesis comma left parenthesis 7 comma 11 right parenthesis EndSet Question content area bottom Part 1 The domain of the relation is StartSet nothing EndSet .

The test statistic of z = 2.63 is obtained when testing the claim that p # 0.771 a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a = 0.10, should we reject H or should we fail to reject Ho? Click here to view page 1 of the standard normal distribution table.
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Let use assume that you are going to purchase a house you know that the more floor space you have the more the house is going to cost. You decide to collect some data. square feet 1400 1900 1900 2100 2250 1450 2300 3100 Price in kilo dollars 200 245 260 300 310 190 400 525 Simple linear regression: Regression between one dependent variable and

Development of a hypothesis early in an outbreak: a) helps direct subsequent steps of an outbreak investigation and b) helps to determine early on if additional investigators should be involved in the investigation. (1 point) A.True B.False The CLINICAL phase of a disease lasts from the biological onset to the development of symptoms. (1 point)
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What kind of ratio is this a part to part to whole Write the ratio in atleast 2 ways

Consider two separate one sample confidence intervals, each for their own population proportion, pA and pB. Suppose from our samples of A and B, we obtain sample proportions of 0.1 and 0.5, respectively. Let nA and nB denote the sample size associated with each confidence interval. Assuming equal significance levels, in order to make confidence

You have 1 liter IV bag to infuse at 100mL/hour. How long will it take to complete infusion? (write whole number and label)( 1) Answers 1- 1

Please need an answer asap Let A = NO doo Find a basis for the row space of A, a basis - 6 DOOmo nullity of A. (Note that the reduced row echelon form of A is Row Space basis: Column Space basis: Null Space basis: Rank: Nullity: 1 120 -1] Let A = 3 3 6 0 - 3 0 0 0 0 . Find a basis for the row space of A, a basis for the column space of A, a basis
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I need help. 1/16 Question 7 of 14, Step 1 of 1 Correct Incorrect An athlete is logging practice time for 3 weeks, If the athlete practices 2- hours the first week 2- hours the second week and I- hours the third week, what is the average weekly practice time? Write the solution as a mixed number or a fraction in lowest terms. Answer i Keypad
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For each of the following matrices A, determine (i) if A is diagonalizable over R and (ii) if A is diagonalizable over C. When A is diagonalizable over C, find the eigenvalues, eigenspaces, an eigenbasis, and an invertible matrix P and diagonal matrix D such that P-1AP = D. 3 -1 1 (a) A = 2 0 2 0 ( b) A = ONOO -NOOO HOOOL NO OH 0 (c) A = 0 2 0 0 2
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Para el clculo de los azimuts individualizar solo en el primer azimut del punto1-2. Ejemplo Dato Az 1-2 = 27130' Az 1-2 = XYZ donde X,Y,Z son los dos tres ltimos dgitos del DNI. IMPORTANTE: Si los 3 ltimos dgitos del DNI exceden los 360 restarle 360 EJEMPLO: 72857545 XYZ=545-360=185; Az 1-2=185 Si los 3 ltimos

Help me solve the 2 question step by step thank you. The shortest side of a triangle is 10 feet shorter than the longest side. The middle side is 5 feet shorter than the longest side. Find the sides of this triangle if the perimeter is 255 yards. Round to one decimal place if needed. Let f(x) = - and g(x) = 3 Solve the equation: x-3 x+5 3 (f-8)(x)
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Imagine that in 2005 (when the Consumer Price Index was 194.5) your parents gave you $10 for every A on your report card. What would an A (like the one you hope to get in this course) be worth today (with the CPI at 246.7)? $6.95 $11.17 $12.68 $13.53 $16.22 $18.40

Question 3 3 pts Below are the results of an election where each voter votes for each of the 3 candidates. Explain who would win using Plurality Voting. Would we have a different winner if we used Vote-For-Two? Explain. Candidate A B C First-Choice Votes 6 4 10 Second-Choice Votes 6 11 2 Third-Choice Votes 8 5 8 Edit View Insert Format Tools Table
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4.Suppose that Kim is a participant in a study that compares several coaching methods to see how they affect math Scholar Aptitude Test (SAT) scores. The grand mean of math SAT scores for all participants ( M y) in the study is 550. The group that Kim participated in had a mean math SAT score of 565. Kim's individual score on the math SAT was 610.

Prove: Given the process x(t) = a + bt + e(t), where e(t) is a white noise process with known variance, show that y(t) = x(t) - x(t-1) is a stationary time series.

3. A 2" square steel bar is 20 ft long and carries a tension force of 16,000 lbs. How much does the bar elongate if the modulus of elasticity is 29,000 ksi? What is its average unit strain
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Why must we "fail to accept," rather than "reject" a null hypothesis?(multiple answers possible) Group of answer choices -The normal curve is asymptotic -The null hypothesis can never be tested directly in a research study. -A null hypotheses always contains some degree of truth. -There is always a chance that the null hypothesis can be true.

Does the theorem that proved relate to theorems that you previously studied? If so, how? Were able to apply some theorems that proved earlier to newfound theorem? Explain. How might theorem be used in a real-world application? We learned in the unit inscribed angles, radii, and chords, inscribed and circumscribed circles, arc length, and area to

1-In a completelyrandomized design, six experimental units were used for each of the three levels of the factor. \f
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Have to complete the table by rounding to the nearest four decimals places and solve for the nearest integer. help with this problem or this material? use the Academic Support resources your homepage in Brightspace or ning modules. (a) Complete the table below given f (a) = - *+2 V7-x-3 Round your answers to four decimal places. ac -2.1 -2.01
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Please help solve derivative story problem for a cylinder with surface area of 100 For a cylinder with a surface area of 100, what is the maximum volume that it can have ? Round your answer to the nearest 4 decimal places . Recall that the volume of a cylinder is north and the surface area is Zarh 1 27Tr- where r is the radius and h is the height
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Can you explain to me how to do parts a and b? 12. An algebra teacher is writing a 90-minute test. There will be two types of questions: multiple choice and open-ended. The multiple-choice questions each take 3 minutes to complete, and the open- ended questions each take 12 minutes to complete. There must be at least 3 open-ended questions, at
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The table below will be used for the following five questions. The table represents the mean and standard deviation graduation rates, by candidate age, for a population of flight academies. A flight academy had a graduation rate of 85.1 for 27-year old candidates from 2000-2009. Since then, new instructors have been hired that have specifically

Let V be a vector space and S = {v1, v2, . . . , Un), a subset of vectors of V that spans V. Suppose T is some subset of S that is independent, say the first k vectors of S to fix the notation. i.e. T = {v1, v2, . . . , vx} show that one can add some vectors of S to T to get a basis B of V. In other words, V contains a basis B such that T C B C S
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In a situation where the standard deviation was decreased from 5.8 to 3.1, what would be the impact on the confidence interval? It would become wider due to using the t distribution It would remain the same as the standard deviation does impact the interval It would become narrower due to the change in standard deviation It would become narrower

Please answer the following. Reference: Linear Programming 3. MP Construction Company wants to determine the least number of daily workers for the construction of a new 500-acre high-class subdivision at San Pedro, Laguna. Only two types of skilled workers are considered for this phase of the construction. Welders are paid 1000 PhP per day while
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Use the box-and whisker plot below to determine which statement is accurate. 154 180 211 265 197.5 150 175 200 225 Question Viewer Cholesterol (in milligrams per deciliter) A. About 50% of the adults have cholesterol levels between 180 and 211 B. About 75% of the adults have cholesterol levels between 180 and 211. O C. About 75% of the adults have
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I am looking answers to the following three questions for some students. I study psychology and this in depth statistics is out of my league and more economics based to be working this out. Any advice is helpful so that I can see how someone works their way around these questions..... You are a Behavioural Public Policy researcher investigating

Please be clear Find the general solution of the given differential equation, and use it to determine how solutions behave as t - co. y + 7y = t+e-3t NOTE: Use c for the constant of integration." y Solutions converge to the function y
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Use the least squares method to fit a simple linear model that relates the annual number of Australian wines sold to the annual growth rate in Canada. In your analysis, state what your model is, and determine whether the independent variable is significant or not at an ?-level of significance = 5%). How effective is the independent variable in
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Dr. Pugh is conducting a research study on students' mathematical abilities. Participants are tested once a year and asked to solve the same math problems every year. This is an example of a ______. Group of answer choices panel study cross-sectional study prospective study trend study

Suppose you need to prepare 1000. mL of 0.100 m HCl(aq), and all you have on hand is 0.500 m HCl(aq).What volume of the 0.500 m solution should be diluted to 1000. mL to give the desired 0.100 m HCl(aq) solution?

Solve -15x(x - 5)(x - 4)(x + 2)(x - 3)(x + 1) = 0 The solutions of a polynomial equation set equal to zero are called what two other names? If a polynomial has 3 factors, then how many solutions will it have? What polynomial has these factors (x - 5)(2x + 1)? Find a polynomial set = 0 that has these solutions, x = -3 or x = -2. Explain how two

can you help me with this please Question 7 of 8 Calculate the accumulated amount of end-of-quarter payments of $9,500 made at 3.88% compounded monthly for 6 years. Round to the nearest cent
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Please be clear Current Attempt in Progress A given field mouse population satisfies the differential equation ap = 0.4p - 350. dt where p is the number of mice and t is the time in months. (a) Find the time at which the population becomes extinct if P(0) = 835 Round your answer to two decimal places. y = i month(s) (c) Find the initial population
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A researcher is interested in finding a 98% confidence interval for the mean number of times per day that college students text. The study included 131 students who averaged 37.2 texts per day. The standard deviation was 12.5 texts. Round answers to 3 decimal places where possible. a. To compute the confidence interval use a ? t z distribution. b.

i wanna simple answer 3. Southland Corporation's decision to produce a new line of recreational products resulted in the need to construct either a small plant or a large plant. The best selection of plant size depends on how the marketplace reacts to the new product line. To conduct an analysis, marketing management has decided to View the
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ill Bersama di Wilay... - 11:43 AM @ @ 45%
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The Basic Experiment In an effort to help prevent childhood obesity, some researchers have developed behavioral interventions. In one school program, nutrition researchers wanted to teach children to make healthier food choices in the cafeteria. They developed a short training program that involved a 20-minute interactive video. To test the

$4800 invested for 8 years at 9 percent compounded annually will accumulate to

3. Redesign the spreadsheet model to incorporate the random variability of the annual salaryr growth rate and the annual portfolio growth rate into a simulation model. Assume that Tom is willing to use the annual investment rate that predicted a 20-year, $1,000,000 portfolio in part 1. Show how to simulate Tom's 20-year nancial plan. Use results
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Capitalism does not need space in order to function. Answer True False

Area & Perimeter of Triangles & Quadrilateralsnotes Area (A): The amount of a figure Perimeter (P): The distance takes up figure *Measured in square units *Measured in fnear units Square A = $1 3 i A= P = 4s P = 3n Rectangle 4 in A =OW 3 in A = P = 20 + 2w P = W Parallelogram (note: the base can be any side; the height is always perpendicular to
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Homemade: Find the fully simplified matrix power A" for the following matrices A: 12 6 (A = 1, 2,3 ). 15 7\f
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A home improvement builder can build decks on house. If a deck is attached to a house, then he must obtain a building permit whereas if it is not physically attached to the house then he does not. If you were to create a data model to represent this it would be a(n) ________ data model

kindly solve these problems \fIndira Industries is a major producer of diverter dampers used in the gas turbine power industry to divert gas exhausts from the turbine to a side stack, thus reducing the noise to acceptable levels for human environments. Normal production level is 60 diverter systems per month, but due to significantly improved
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What is the quote display Kya in Where the crawdad sing novel? Help me explain it

solve the following equations algebraiclly a) 2 x 3 + 3 x 2 1 1 x 6 = 0 b) x 3 + x 2 1 4 x 1 0 = 1 4

The average rent in a city is $1,500 per month with a standard deviation of $250. Assume rent follows the normal distribution. a. What percentage of rents are between $1,250 and $1,750? b. What percentage of rents are less than $1,250? c. What percentage of rents are greater than $2,000?

Can some one please help me double check my answers to the following: \f\f\f\f\f
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In some class, we have 100 students,of which 40 percent are female. Among the female students, 30 students are business majors, all other female are computer majors. For male students, half are business major and half are computer major. If I random select a female student, what is the probability she is computer major? (A) 0.3 (B) 0.25 (C) 0.4
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Reply 2: Respond to a peer and/or your instructor. You should provide an example of a solution to the system of inequalities. For example, if you see that the point (5,4) fits in the shaded region of a particular system, show work on how (5,4) would be a solution to the system of inequalities

Pick 2 (TWO) examples of 'Applications of Linear Algebra' in everyday life. In your own words, summarize how those applications utilize Linear Algebra

Last year,48%of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that30%planned to provide a holiday gift to their employees. Suppose the survey results are based on a sample of55business owners. a. How many business owners in the survey planned to provide a holiday gift to their

You are volunteering for a local nonprofit organization whose mission is to improve child literacy. This organization has asked for your help gathering information on the reading activities that local children engage in. 1.For each of the following scenarios, state the null and alternative hypotheses. Scenario A : You read in a report that

(20.18) You are testing H 0 : = 100 against H a : < 100 based on an SRS of 22 observations from a Normal population. The data givex x= 9.1and s = 2.9. The value of the t statistic (0.01) is

3. Solve the congruences (a) 15x = 25 (mod 40) (b) 1141x = 679 (mod 1841) (use the Euclidean algorithm for this one)
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1. Review the variables in the dataset and select one grouping (independent) variable and o hink it is reasonable to argue that the grouping variable affects the outcome variable. In ot difference in the means for the dependent variable between the two groups. 2. Write an informal hypothesis that explains why this difference seems reasonable. 3.
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6. Find the slope of the tangent to the curve y = sin 2x - cos 2x at x = a. 0 C. 4 b. 1 d. -2 7. Find the equation of the tangent to y = cos 2x at the point 4 a. y= -2x C. y = -2x + 7 b. y = 2x+ 1 d. y=-x+1
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(show solutions for every answer for confirmation). a) A customer help center receives on average 3.5 calls every hour. i. What is the probability that it will receive at most 4 calls in 2 hour? ii. What is the probability that it will receive at least 5 calls every hour? (b) A person receives on average 3 e-mails per hour. i. What is the

2 Points ) Describe the steps for the following . a T'sE synthetic division to show that ? is a solution of the polynomial equation 141 - 17*^_ - 16.5 - 177 = 0 bo . I'VE the solution from part ( a ) to solve this problem . The number of FEEs . Ax). in a female* moth is a function of her abdominal width . * in millimeters . modeled by F (x) = 14x3
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