**Exponential Candy Experiment**A student conducted an experiment with a bag of M&M’S® Chocolate Candies. He followed these steps: 1. Opened the bag and poured out the candies.2. Consumed all candies that had the “M” on top.3. Returned the remaining candies to the bag and repeated the process until no candies were left.Below is the data representing the number of M&M’s remaining at the end of each of the first six iterations (courses) of this process.| **Course** | 1 | 2 | 3 | 4 | 5 | 6 ||-----------------|----|----|---|---|---|---|| **Number remaining** | 30 | 13 | 10 | 3 | 2 | 1 |**Tasks:**(a) Determine an exponential model for this data using the course number as the explanatory variable.(b) Create a scatterplot of the data points and overlay the exponential model on this plot.(c) Compute and interpret the residual for the first course.

The following data has been provided: Course Number Remaining 1 30 2 13 3 10 4 3 5 2…

Answered: 8. Exponential candy A student opened a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A researcher wants to know how long it takes, on average, for a certain species of bacteria to divide. She watches 17 cells through a microscope and times how long it takes them to divide. She obtains the following data, in hours:8.1, 7, 7.4, 7.4, 6.6, 7.3, 7.5, 7, 7.7, 6.9, 7.9, 6.7, 6.7, 6.9, 7.5, 7.1, 7.3Assuming the population standard deviation is σ=0.4, construct a 89% confidence interval for the average time it takes this species of bacteria to divide.xˉ=α2=zα2=Margin of Error: E=We are 89% confident that this species of bacteria takes, on average, between ___hours and ___hours to divide.
Consider the following regression model, y₁ =B₁ + B ₂x₁₂ + 12 where E[e₁1x]=0 and Var (elx.) depends on the value of x, i.e., Var(e¡1x;,) ‡ o². Choose the correct statement. a. +B₂x+e. KiK To get around the problem, we often assume that C. i b. To fix the problem, we need to have an instrumental variable. If we assume This problem implies that errors are correlated with one of d. Var(e₁!x;)=o² e. None of the above is correct. is normally distributed. (x) x 12² xix). iK the confidence interval is not valid.
The table shows the leading causes of death in a certain country in a recent year. The population of the country was 311311 million. If you lived in a typical city of 500,000, how many people would you expect to die of cancercancer each year? Cause Deaths Cause Deaths Heart disease 596 comma 700596,700 Alzheimer's disease 84 comma 90084,900 Cancer 575 comma 300575,300 Diabetes 73 comma 40073,400 Chronic respiratory diseases 143 comma 100143,100 Pneumonia/Influenza 53 comma 40053,400 Stroke 128 comma 600128,600 Kidney disease 45 comma 30045,300 Accidents 122 comma 500122,500 Suicide 38 comma 60038,600 About people would be expected to die of cancer each year. (Type a whole number. Round to the nearest person as needed.)
A certain city's power company charges their residents for electricity usage on a daily basis. There is a basic charge of 11.57 cents. For each day the first 10 kWh cost 4.81 cents per kWh and any additional kWhs are 9.69 per kWh. (A kWh, or kilowatt-hour, is a unit of energy.) (a) Complete the following table using the information provided above. kWhkWh 0 5 10 15 20 cost (dollars)cost (dollars) kWhkWh 25 30 35 40 cost (dollars)cost (dollars) (b) We can define a piecewise function f(x)f(x) where xx is the kWh used in a day and f(x)f(x) is the cost, in dollars. This function would have the form f(x)={g(x)h(x)ififx∈Ax∈Bf(x)={g(x)ifx∈Ah(x)ifx∈B What functions g(x)g(x) and h(x)h(x) make up the piecewise function f(x)f(x)? g(x)=g(x)= for A = h(x)=h(x)= for B = Hint: A and B are intervals. If an interval uses ±∞±∞ write inf or -inf . (c) Using the above function, what is the cost of 26 kWh? dollars. (d) For 3 dollars, what is the maximum kWh usage for one…
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The table below shows the share of income going to each quintile of the income distribution for Neverland in 1980 and 1990. Complete the table below finding the the cumulative share of income for 1980 and 1990 and answer the following: Share of income in Cumulative share of Share of income in Cumulative share of Quintiles 1980 income in 1980 1990 income in 1990 1st 7% 6.6.% 2nd 11.5% 11.5% 3rd 17% 16.3% 4th 24.8% 22.7% 5th 39.7% 42.9% a) Sketch the Perfect Equality line and the Lorenz curve for 1980 and for 1990. Don't forget to label your graph and your curves! b) According to the Lorenz curves that you draw in (a), which year had worse income inequality, 1980 or 1990? JUSTIFY your answer! NOTE: This is a file upload question. Work your answer in a piece of paper, take a picture and upload your file.
The table shows the number of bikes sold at a store during a three-year period. Year Number Sold Year 1 725 Year 2 579 Year 3 696 In Year 4, the store sold 121% of the total number of scooters sold during previous three years combined. Determine the number of scooters sold in Year 4. A. 2,420 B. 2,000 C. 42,000 D. 242,000
A population starts with 16 carpet beetles and in a week the population increase by 1 new beetle for every 4 beetles that were there the previous week which can be shown in the following table: Week 0 Week 1 Week 2 Week 3 = 31 Week 5 = 49 Week 4 16 20 25 = 39 How many beetles do you estimate there will be by Week 8?
Your friend makes up a game to play over Zoom during the shelter in place, and asks if you would like to play. The rules are: You win $8 if you roll a 6. You win $4 if you roll a 4 or 5 Otherwise, you have to pay $10. a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. The first value is filled in for you. Round to 4 decimal places where appropriate. Probability Distribution Table X P(X) -10 b. Find the expected profit. $ (Round to the nearest cent)c. Interpret the expected value. You will win this much if you play a game. This is the most likely amount of money you will win. If you play many games, on average, you will likely win, or lose if negative, close to this amount.
Going into the semester the student had an overall GPA of 3.2 based on 24 Credit Hours Multiply the overall GPA times the credit hours. Add that amount to the grade points from the current semester. Add the overall credit hours to the semester credit hours. Divide the newly calculated grade points by the newly calculated credit hours. The new overall GPA is _____ rounded to three decimal places.

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