Advanced Engineering Mathematics
6th Edition
ISBN: 9781284105902
Author: Dennis G. Zill
Publisher: Jones & Bartlett Learning
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(x² + 2x-y³) (16 x + 15) dy
(x+2+y2) (x+2)3
=
Q5. Manager of car dealership is trying to see how number of sale associates can affect number of final sales
in his dealership. He collects the following information:
Number of cars
Number of working
sale associates per day
sold in one day
2
2
3
5
3
3
4
1
3
1
2
4
5
Calculate the correlation coefficient for this data set using the equation given on slide#77? Comment on the
association of the two variables.
ΣΥ) - Σ) × Σ(Υ)
(X)
E(Y)
N
2
(Σ(x²) - 2x²) × (Σ(12) - ²)
N
N
Q3. The distribution for the working lifetime of light bulbs, manufactured in a company, is found to be
normally distributed with a mean of 1450 hours and a standard deviation of 60 hours.
a) In this distribution, find the life time of a lightbulb whose z-score is -1.8?
b) Which percentage of lightbulbs have life time less than 1400 hours?
c) Which percentage of lightbulbs have life time greater than 1500 hours?
d) Which percentage of lightbulbs have life time between 1420 to 1500 hours?
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Similar questions
- Q4. Considering the following two normal distributions A and B, which statement (or statements) is correct? a) Mode of the distribution A is larger than that of distribution B. b) SD of the distribution B is larger than that of distribution A. c) Mean of the distribution A is smaller than that of distribution B. d) A data item with z-score of -1 falls between 20 to 30 in distribution A. e) A data item with z-score of +1 falls between 10 to 20 in distribution B. A 0 10 20 30 40 40 50 60 00 10 70 B 80 90 100arrow_forwardQ1. A traffic camera recorded number of red cars going through the intersection at 16th Ave N and Centre St. each day over 7 days was: 32 30 24 30 36 38 27 a) Calculate the mean, mode, range and median of the data set above. c) Calculate the standard deviation of this data set. Sarrow_forwardQ2. Government of Canada is designing Registered Retirement Saving Plans (RRSP) for Canadians. According to statistics Canada, the life expectancy in Canada is 86 years with standard deviation of 4.8 years. a) Find the z-score of a person who is 90 years old? b) Find the age of a person whose z-score is -1.4? c) What percent of people age higher than 80? d) What percent of people age less than 83? e) What percent of people age between 85 and 88?arrow_forward
- b pleasearrow_forward(b) Let I[y] be a functional of y(x) defined by [[y] = √(x²y' + 2xyy' + 2xy + y²) dr, subject to boundary conditions y(0) = 0, y(1) = 1. State the Euler-Lagrange equation for finding extreme values of I [y] for this prob- lem. Explain why the function y(x) = x is an extremal, and for this function, show that I = 2. Without doing further calculations, give the values of I for the functions y(x) = x² and y(x) = x³.arrow_forwardPlease use mathematical induction to prove thisarrow_forward
- L sin 2x (1+ cos 3x) dx 59arrow_forwardConvert 101101₂ to base 10arrow_forwardDefinition: A topology on a set X is a collection T of subsets of X having the following properties. (1) Both the empty set and X itself are elements of T. (2) The union of an arbitrary collection of elements of T is an element of T. (3) The intersection of a finite number of elements of T is an element of T. A set X with a specified topology T is called a topological space. The subsets of X that are members of are called the open sets of the topological space.arrow_forward
- 2) Prove that for all integers n > 1. dn 1 (2n)! 1 = dxn 1 - Ꮖ 4 n! (1-x)+/arrow_forwardDefinition: A topology on a set X is a collection T of subsets of X having the following properties. (1) Both the empty set and X itself are elements of T. (2) The union of an arbitrary collection of elements of T is an element of T. (3) The intersection of a finite number of elements of T is an element of T. A set X with a specified topology T is called a topological space. The subsets of X that are members of are called the open sets of the topological space.arrow_forwardDefinition: A topology on a set X is a collection T of subsets of X having the following properties. (1) Both the empty set and X itself are elements of T. (2) The union of an arbitrary collection of elements of T is an element of T. (3) The intersection of a finite number of elements of T is an element of T. A set X with a specified topology T is called a topological space. The subsets of X that are members of are called the open sets of the topological space.arrow_forward
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