I. Simplify each of the following expression 1. 8! 2. 10! 4. 4!+5!

Q: Use synthetic division to show that c is a zerc a. P(x) =x' – 4x² + 5x - 2; c= 2

A: Given polynomial function is- p(x)=x3-4x2+5x-2 ; c=2 To show that c is zero of given polynomial…

Q: 3. Php 120,000 is deposited in a savings bank that earns 9% simple interest per year. What will be…

A: given principal amount (P)=php 120,000 interest R=9% T=5years sum of amount after five year? formula…

Q: Show that the following function satisfies the properties of a joint probability mass function. fytx…

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Q: General Direction: Perform each of the following steps. a. Find the Spearman rank correlation…

A: The mathematics achievement scores of grade 4 and grade 8 are as shown below. Grade 4 Grade 8…

Q: II. Use the grouped frequency distribution below to answer item numbers 19 to 25. Class Interval f…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 1. Evaluate the following limits: 4. lim x→2 sin(4x-8) 4x-5x-6

A: Ans - In this question, we will find the limit of the given expression.

Q: Find the angle between the following pair of lines: i. 7=21-53+k+ 2(31 +23+ 6k) and r = 7î - 6k+ µ(i…

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Q: Using propositions aided by two-column proof, show that AAB = AUB. (Just choose one direction to…

A: By two-column proof we will be showing that A∆B=A∪B. We know that A∆B=A∪B-A∩B.

Q: lim (-5) (²²-4x-5) x-5,

A: NOTE: Refresh your page if you can't see any equations. . first, we need to find the factored form…

Q: 3:) Consider the function g defined by g(x ,y) = cos( mxVy) + log3 (x-y) (b) calculate the…

A: Given,g(x, y)=cosπxy+1log3(x-y)To find: Instantaneous rate of change of g(x, y) at point (4,1,2) in…

Q: Cardiovascular Disease The data in Table 1 are a sample of cholesterol levels taken from 24 hospital…

A: Mean, x̄= ΣXi/n Here sample size is n= 24 Mean x̄= 499/24 = 20.79167 Standard deviation= √Σ(Xi-x̄)2…

Q: 7. 1 1 -4-2 Let A-2 3 2 4 -8-5 . (a) Show that A is diagonalizable and find a nonsingular P such…

A:

Q: SET-UP a triple integral that will solve for the volume inside the sphere x² + y² + z² = 2z and…

A: Given, sphere: x2+y2+z2=2z paraboloid: x2+y2=z For Spherical coordinates, we have to substitute…

Q: Evaluate: S 2y+3 (y-1)(³-1) dy ° − In\y − 1| − § (y − 1)³ + ¼ln|y² + y +1| - O √3 ○ – In|₁¹|- (y −…

A: We will use partial fraction decomposition to solve the given integral .

Q: DO THIS TYPEWRITTEN. PLEASE SKIP IF YOU ALREADY ANSWERED. I WILL UPVOTE

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Q: The average value of f(x, y) over the rectangle R = {(x, y) a s*S b, csysd} is %3D 1 fave (6- a)(d-…

A: The Formula for the average value of a function over an region is given. So use it we have

Q: 9. Fuel Efficiency of Cars and Trucks Since 1975 the average fuel efficiency of U.S. cars and light…

A: Given Data : Sample Size, n = 40 Sample Mean, x̄ = 28.1 standard deviation,…

Q: Find the mean and variance of Z.

A: Given, E(Xi)=μ             for i=1,2,3......n V(Xi)=σ2         for i=1,2,3...n Z=X-μσn where…

Q: 7. The diagonal of a certain rectangle is twice its length minus 2₁ while its width is twice its…

A: Given d=2(l-2) W=2(l-8) Area=? Perimeter=?

Q: 19. Hospital Noise Levels Noise levels at various area urban hospitals were measured in decibels.…

A: Given n = 84X = 61.20 = 7.9z= 1.96 for 95% confidence interval

Q: P(-0.92 </=Z </= 1.87)= _____ O 75.09% O 70.95% O 79.50% O 79.05% P(z=0 to z=1.93)=____ O 47.32% O…

A: given data  standard normal distribution Z~N(0,1)

Q: A man has 5 blue and 4 yellow balls in a bag. Without looking in the bag, he takes out a ball,…

A:

Q: Let R be the solution region for the system of inequalities { x² +9y² - 18y ≤ 0 y² + 2y = x² > 0 a)…

A: The system of inequalities is provided as: x2+9y2-18y≤0y2+2y-x2&gt;0 The solution region is R and we…

Q: 3. Evaluate sin5 xdx

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Q: For each of the following families of distributions, explain whether it is an exponential family:…

A: Solution: It is asked whether the given family of distributions is an exponential family.  Given a…