The variable M denotes the cost of the main course, in dollars, and the variable D the cost of the dessert. The variable T denotes the total cost of a two-course meal: T= M+ D. (i) Find the mean and variance of M. (ii) Find the mean and variance of D. (iii) List all the possible two-course meals, giving the price for each one.

The variable M denotes the cost of the main course, in dollars, and the variable D the cost of the dessert. The variable T denotes the total cost of a two-course meal: T= M+ D. (i) Find the mean and variance of M. (ii) Find the mean and variance of D. (iii) List all the possible two-course meals, giving the price for each one.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: O (LT # 2) During a recent snowstorm in Red Hook, NY, Jaime noted that there were 4 inches of snow…

Q: 5: What is the slope shown in the table of data? A: m 4 B: m = -4 1 -1 C: m = 2 D: m = -2 3 4 11 6:…

Q: You are planning a study to analyze the abundance of bees as a function of the number of species of…

A: When conducting a multiple regression analysis, it is important to identify the response variable…

Q: L5Q8. Find the slope from the line of best fit y = 0.35 + 1.45x. A.-1.45 B.1.45 C.0.35 D.-0.35

A: The general regression line is y=a+bx.

Q: In September, Lee ran in the Run Rabbit Run 50 mile race in Steamboat. The race is an out-and-back…

A: Total distance= 50 mile The race is out-and-back on the same track Let denote the starting point as…

Q: Employees at a certain company currently have to pay 6% of their health care costs, while the…

A: Employees at a certain company currently have to pay 6% of their health care costs, while the…

Q: 0 Data for Sales Over Time The accompanying data describe sales over time at a franchise outlet of a…

A: an explanatory variable is a type of independent variable.

Q: Let’s say you bought a car for $12,500. The car is expected to last for 8 years and then it can be…

Q: Consider the following table. Is the relationship proportional? Explain your answer. y -2 -27 1 12 4…

A: We have to define relationship is proportional or not

Q: A salesperson is offered a job at a rate of $10 per hour, plus commission of $35 for each item she…

A: topic - linear equation

Q: You decide to represent the relationship between the number of cases of wine sold and the price of a…

Q: a home improvement warehouse charges $60 delivery fee. a customer wants to purchase a number of…

Q: anice is considering buying a new home. She wants to estimate the monthly utilities (heating and air…

A: According to the given information, person J is interesting in predicting monthly cost in utilities…

Q: nt of determination is 49%, the strength of the linear relationship is equal to _______. Expr

A: Given: Stories Height (in ft) 57 820 53 795 38 650 31 633 43 578 41 506 41 548 39…

Q: A typical math class gets assigned 16 questions a week and was noticed to have a average of 18…

A: Given that, 16 questions were assigned a week in a typical class and was observed to have an…

Q: . U.S. Music Albums Sold In 2007 music sales were 500 million albums and in 2015 sales were 240…

A: Part(a) We are given with two points (2007,500) and (2015,240) Now we find slope intercept form of…

Q: When Melanie left her house in the morning, her cell phone battery was partially charged. Let B…

Q: Nimesh is creating a new app for real estate developers to estimate the number of nightclubs in a…

A: X = populationY = number of night clubsLine of best fit : Y = 2.15 + 0.002X We have to give…

Q: 1. Weight (lb) Cost ($) 11 8 22 16 33 44 24 32 55 40

A: Given query is to find the slope of the liner relation.

Q: Match the coefficient of determination to the scatter diagram. The scales on the x-axis and y-axis…

A: Given, a) R2 = 0.27 b) R2 = 0.94 c) R2 = 1 Coefficient of determination : The coefficient of…

Q: Select the correct answer in each drop down menu based on the points listed below. { (-8, -10),…

A: The points and the best fit line is represented in the graph below

Q: Based on the residual plot, is the linear model appropriate? O No, there is no clear pattern in the…

A: The difference between the observed and predicted value is termed as residual. If the residuals in…

Q: Sales = 78000 + (30*marketing expenditure) + (25*RD expenditure). What is the correct interpretation…

A: Sales = 78000 + (30*marketing expenditure) + (25*RD expenditure)

Q: Forest Fires and Acres Burned An environmentalist wants to determine the relationships between the…

A: A scatter plot is a graphical display of bivariate data that shows the direction and magnitude of…

Q: Drag and drop each key term next to what it refers to in the following scenario. A cardiologist is…

A: Given Information:

Q: Find the slope of a line using the table 1 3 7 4 12 20 28 -1/4 4 -4 O 1/4 Option 5

A: Solving the problem by finding the slope of the line.

Q: THURSDAY Which two scenarios correctly identify the dependent variable? A. Vhich line (A, B or C)…

Q: The mean of variable X is 1 and the mean of variable Y is 2. The slope coefficient is 1.5. Determine…

A: Solution-: Given: Mean of X =X¯=1, Mean of Y=Y¯=2, Slope of coefficient =β1=1.5 We find Y intercept…

Q: Given the linear function below, identify the slope

Q: Scientists are preparing two satellites to be launched. The satellite, Space Explorer B, flies 87000…

A: Scientists are preparing two satellites to be launched. The satellite, Space Explorer B, flies 87000…

Concept explainers

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

Question

100%

1 The menu at a café is shown below.
Main coursе
Dessert
Fish and Chips
$3
Ice Cream
$1
Apple Pie
Sponge Pudding
Spaghetti
$3.50
$1.50
Pizza
$4
$2
Steak and Chips $5.50
The owner of the café says that all the main-course dishes sell equally well, as
do all the desserts, and that customers' choice of dessert is not influenced by
the main course they have just eaten.

The variable M denotes the cost of the main course, in dollars, and the variable
D the cost of the dessert. The variable T denotes the total cost of a two-course
meal: T= M+ D.
(i) Find the mean and variance of M.
(ii) Find the mean and variance of D.
(iii) List all the possible two-course meals, giving the price for each one.
(iv) Use your answer to part (iii) to find the mean and variance of T.
(v) Hence verify that for these figures
mean (T) = mean (M) + mean (D)
%3D
and
variance (T) = variance (M) + variance (D).

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Matrix Operations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

I need help with 1 & 2
R1
Pls help ASAP
Foot temperatures: Foot ulcers are a common problem for people with diabetes. Higher skin temperatures on the foot indicate an increased risk of ulcers. In a study performed at the Colorado School of Mines, skin temperatures on both feet were measured, in degrees Fahrenheit, for 8 diabetic patients. The results are presented in the following table. Left Foot Right Foot 89 86 89 87 78 78 80 81 87 82 86 85 76 80 88 89 Send data to Excel
Find the equation of the line of best it from the data in the table. Round the slope and the y-intercept to the nearest hundredth. x0345 12 8269 12 O A y=0.53x+4.88 OB. y=0.63x+4.88 Oc. y=043x+4.98 O D. y=073x +4.98
In September, Lee ran in the Run Rabbit Run 50 mile race in Steamboat. The race isan out-and-back course that runs from Steamboat Ski Resort to Rabbit Ears and back toSteamboat Ski Resort. The table below provides the timed splits through the various aidstations along the course. (a) List two different functions that can be formed from the data in the table. Be sure tospecify the dependent and independent variables.(b) Name one way in which the data in the table is not a function. Explain.(c) Construct a graph that depicts the relationship between time and the total distancetraveled in the race.(d) Construct a graph that depicts the relationship between time and displacement fromstart/finish (relative distance to start/finish).(e) Compare Lee’s average running speed from Dumont to Rabbit Ears and his averagerunning speed from Rabbit Ears to Dumont.
The heights and weights of elephants at the zoo are recorded in the table. Height (in feet) 4 6 7 7 7.5 9 Weight (in tons) 1.25 1.9 2.5 2.1 2.3 3.4 Interpret the slope, using the equation for the line of best fit ŷ = 0.513x − 0.408; for every additional foot in height, the elephant is predicted to gain 0.513 tons of weight ŷ = 0.408x − 0.513; for every additional foot in height, the elephant is predicted to gain 0.408 tons of weight ŷ = 0.408x − 0.513; for every additional foot in height, the elephant is predicted to lose 0.513 tons of weight ŷ = 0.513x − 0.408; for every additional foot in height, the elephant is predicted to lose 0.408 tons of weight
The scatter plot shows the relationship between the number of minutes studying for a test (x) and the Score earned (y). Make a scatterplot for the data. Time Studying (x) 40 50 60 70 80 90 100 110 Score (y) 2 3 6 7 9. +H+ 10 6. -7- 4 3 1- 10, 10 20 30 40 50 60 70 80 90 100 110 12 7:04 PM Desktop 12/8/2026
If DI falls by $100 billion, and C falls by $90 billion, the slope of the consumption is a. −0.90.b. 0.50.c. −0.45.d. 0.90.e. 0.45.
Chloe has a part-time job at an ice skating rink selling hot cocoa. She decided to plot the number of hot cocoas she sold relative to the day's high temperature and then draw the line of best fit. What does the line's y-intercept represent? A prediction of the temperature when o hot cocoas are sold. A prediction of the number of hot cocoas sold when the temperature is 0∘F . The actual temperature when o hot cocoas are sold. The actual number of hot cocoas sold when the temperature is o∘F .
The percent of defects is the x-coordinate, while the percent of new machines is the y-coordinate. So, the table of values corresponds to the points (25,32), (20,40), (15,50), (10,65), (5,70), (0,85). Question Using the linear relationship graphed above, estimate the percent of new machines if there is 12% defects in the shoes at various production facilities. Provide your answer below: _____
The graph shows the total cost y for x bags of popcorn sold. What is the slope of the line? Popcorn 20 18 16 14 12 10 8 1. 3 4 5 6 7 8 9 10 Bags Sold Select one: 2. 4. 2. Total Cost ($)