Exercice 9: Suppose that the life span of the lamp posts in Ottawa is normally distributed with an average of 80 months and a variance of 800. If we select 15 street lights at random, what is the probability that only 3 of them will last more than 9 years?

Q: y" +y' – 2y = 4e* – 2x

A: We have the given differential equation is y''+y'-2y=4e-x-2x2     …..(1) The auxiliary equation for…

Q: Determine the distribution function for the Pareto(a) distribution of the logistic distribution of…

A: Let X be a random variable having having basic Pareto Distribution with shape parameter α. The PDF…

Q: Find the distance from the point S(4, - 4,1) to the line x = 9t, y = 5t, and z = 7t. The distance is…

A:

Q: 2. (3ху + Зу — 4) dx + (х + 1)? dy %3D 0. ANS. у 3D 2(х + 1)-1 + c(x + 1)-3.

A:

Q: Choose at random a person 15 years of age or older. Ask their gender and marital status (never…

A:

Q: 6. (3х — 1)у' —D бу — 10(3х- 1)1/3. ANS. y = 2(3x – 1)1/3 + c(3x - 1)?.

A:

Q: Sea surface temperature 26.7 26.6 26.6 26.5 26.3 26.1 Growth 0.85 0.85 0.79 0.86 0.89 0.92 (a) Use…

A: The process of computing the mean in case of individual operations is add together the various…

Q: 5. Evaluate lim x→2 x² - 16 X x-2

A: According to Bartelby's guidelines, we can only solve one question at a time, please post again to…

Q: t Sintcost de

A:

Q: Find the area of the shaded region. y. 8- x= y-6y (-35/4, 7/2) -12 -10 -4 x=y-y

A: Please refer the attached image for complete solution.

Q: Solve the following boundary value problem. ut=9uxx, 0 0; u, (0,t) ux (3,t) = 0, u(x,0) = 9 cos O A.…

A: (.)  Given,            (.)  The solution of heat equation,                subject to the boundary…

Q: 3n 9. Determine if the sequence an = converges or diverges as limit n0o. Find its limit if it…

A:

Q: 1) Let f(x)=√x. We wish to put upper and lower bounds on the length of f(x) from x = 0 to x = 1. a)…

A: First, we shall plot the function f(x)=x3 in the interval [0,1].

Q: 1. a. Draw the ellipse x? + y/4 = 1 and label its x and y intecepts. b. View the ellipse as a type I…

A:

Q: (x* + 2y) dx – x dy = 0. ANS. 2y = x* + cx². %3D

A: We will find out the required solution.

Q: 1. Consider passwords of length 10 made with A, B, C, D, E, 9, 8, 6 (Repetition is allowed) a) How…

A: There are 10 values to be selected from A, B, C, D, E, 9, 8, 6 so the total number of selections…

Q: 3. Construct the natural cubic spline for the following data. f(x) b. X a. C. 8.3 8.6 X -0.5 -0.25 0…

A: Given data:

Q: Solve the following differential equation dx dy -2u + x + 4 with u (0) = 1 %3D to obtain u (0.2)…

A:

Q: Answer true or false to each of the following statements and explain your answers. a. In a…

A:

Q: 1. A 64 Įb weight stretches a spring 4 ft. The mass of the weight is (a) 16 slugs (b) 16 kg (c) 2…

A:

Q: Solve the following linear systems using Fixed point method and Newton Method 1. f1(x, y)=x^2 +y^2…

A: According to the Bartleby guideline only one question can be solved at one time, post the remaining…

Q: 3. The cumulative distribution function of X is given by 0 1/2 3/5 F(b)= 4/5 9/10 i. P[X 31 b<0…

A: Note: according to the Bartleby guidelines expert solve only one question and maximum 3 subpart of…

Q: The table below shows the average weekly wages (in dollars) for state government employees and…

A: Given: Sample size n = 10 y^ = 1.386X + 12.604 Formula used: Prediction Interval = Y^ ± tα/2…

Q: Choose a real world example that makes use of a Venn diagram that involves at least three sets.…

A:

Q: 7. (у — 2) dx + (3x — у) dy — 0. ANS. 12x = 3y + 2 + c(y – 2)-3. -

A:

Q: 2. Set up the integrals for the work required to pump the water in the drum shaped solid to the goal…

A: set up the integral for w9rk requireded to pump the water in the drum shaped solid to the goal line

Q: Activity 1. Match the functions in Column A with their corresponding antiderivatives in Column B.…

A:

Q: E 10 = 6 14 9. + + %3D

A:

Q: Let f (x, y) = e-(x²+y²), Find the maximum and minimum values of f on the rectangle given below.…

A: We have to find the maximum and minimum value of the given two variables function.

Q: Question 7 (a) Let f be the polynomial 2t3 – 5t2+1 € Q[t]. (i) Use the Rational Root Theorem to find…

A: i. Given polynomial is  ft=2t3-5t2+1∈ℚt Now,  f0=1≠0f1=2-5+1=-2≠0f-1=-2-5+1=-6≠0f12=28-54+1=0 So,…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.