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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: function g defin g(x ,y) = cos (TX JG) Consider the (b) calculate the instanta

A: Given: Function g(x,y)=cos(πxy)+1log3(x-y) To find: Instantaneous rate of change of g at the point…

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: It refers to sampling technique were selecting the respondents by using every kth member of the…

A: Systematic sampling: Systematic sampling involves of first considering a starting point for…

Q: WHICH OF THE FOLLOWING ARE DISCRETE PROBABILITY DISTRIBUTION? IF IT IS NOT A DISCRETE PROBABILITY…

A: Solution: Probability function is a function which assigns probabilities to the values of a random…

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: 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…

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Q: 17. A number card is drawn from a deck consist of 1, 2, 5, 8, 12, 15, 16, 20, and 25. Find the…

A: a number card is drawn from a deck consist of 1,2,5,8,12,15,16,20 and 25.

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: (-1)"x2" (2n)! +00 1. For all x ER, cos x = Σ n=0 a. Find a power series that is equal to x cos(x)…

A: Given that, cos x = ∑n = 0∞(-1)nx2n2n! a) Find the power series equal to x cos x2 b) Differentiating…

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: 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: The circumference of a circle is the ten terms of the arithmetic sequence 2,8,14. Find the area and…

A: Here, the circumference of the circle is the 10th term of the arithmetic sequence: 2,8,14,... which…

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: 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: You should be able to select the table and copy it directly to Excel or other such programs. 18.8…

A: i) Range = Maximum value -Minimum value Excel function to find maximum value is ,  "= MAX( select…

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,…

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Q: 3. Evaluate sin5 xdx

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Q: 4. Use synthetic division to show that c is a zero of the given polynomial function. b. P(x) =2x³ –…

A: Solution is given below:

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

A: The standard equation of the ellipse  is x-h2a2+y-k2b2=1. The standard equation for the up-down…

Q: 4. A car costs Php 800,000. Find its value after 4 years if it depreciates 20% of its cost per year.

A: Solution(4)   According to the given information the present value of the car is P800,000. Now the…