3. Scores made on a certain aptitude test by nursing students are approximately normally distributed with a mean of 500 and a variance of 10,000. a. What proportion of those taking the test score below 200? b. A person is about to take the test. What is the probability that he or she will make a score of 650 or more? c. What proportion of scores fall between 350 and 675?

Q: The number of integer values of m, for which the x-co- ordinate of the point of intersection of the…

A: Introduction :

Q: Write the standard form of the following mathematical model. Min W = - 8 X1 + 2 X2 St. - 3 X1- 4 X2s…

A: Standard form of the following Mathematical model,     Min W =-8X1+2X2such that -3X1-4X2≤9;…

Q: 4. Find the value(s) of b in the quadratic equation x² + bx + 1 = 0 such that it has one solution.

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Q: Let A = 1 2 5 3 -1 3 3 1 4 2 a 4 Find the solutions of Ar= b for all a. B. b -1 8 B

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Q: Prove V²f(r) = d²f dr² + 2 df r dr

A:

Q: Let (c1, c2) be a solution of the 2 × 2 system a11x1 + a12x2 = 0 a21x1 + a22x2 = 0 Show that for any…

A:

Q: Show that the only real value of A for which the following equations have non-zero solutions is 6.…

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Q: Determine if the montsivial Solution system has 3x, + 5x2-7x3=0 6x, t 7c2 t X3=O

A: The given system of equations are, -3x1+5x2-7x3=0-6x1+7x2+x3=0

Q: Manually find the solution to the following system of equations using Gauss eilmination.

A:

Q: 0.1x₁0.4x2 +0.6x3-11-0 -0.2x₁ +0.5x₂ -0.1x3 = 6 0.3x₁ +0.7x₂ -0.8x3 + 9 = 19

A: 1st we will simplify  equations given and then use  cramers rule to solve it

Q: Find any solution of the following system of equations. X1 X2 X3 1 1] [X1 1 X2 = 1 [x3] 1 4 |4 Lo. 1…

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Q: 2.) In one town 65% of the voters are Republican. What is the probability that at least one is not…

A: Here, it is given that 65% of the voters are Republican. 15 people are randomly selected and…

Q: A linear equation is said to be degenerate if all the coefficients are zero, that is if it has the…

A: Topic :- Equations

Q: Find the solution to the 4x + y = 0 4x+y3D -8

A:

Q: In a learning experiment, a subject is first given x minutes to examine a list of facts. The fact…

A: We are given S(x,y) = x2 + 5xy + 15x – y2 + 3y + 25. Calculating ∂S∂xand ∂S∂y ,   ∂S∂x=2x+5y+15 = Sx…

Q: √xdx √x+x S

A: To solve the given integral

Q: Find all integer solutions to the diophantine equation 64x + 43y = 1.

A:

Q: Only solve z for both a) & b) on the attached.

A: To compare two proportions, a hypothesis test can be conducted. If there are ,  are the number of…

Q: M = {-3} and P= {z: z is a solution of z3 = -27} Are sets M and P disjoint?

A: Given, M=-3 & P=z: z is a solution of z3=27. Two sets are disjoint if they have no elements in…

Q: Find all integer solutions, if they exist, to the linear Diophantine equation 70x+154y = 84

A: Solve the following

Q: Use echelon metod to solve this 5x-3y=1 6x-y=9 A. No solution B. There are infinitely many…

A: See the attachment

Q: Let Describe all solutions of Ax = x = x₂ +x3 +x4 1 -₁2 50]. 4 -5 -10 8 10 A =

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Q: Write a linear combination that shows possible combinations of p and nthat can be used to purchase…

A: It is given that, the total amount used to purchase candy is $0.96.Also,

Q: je je e je

A: From the given problem: I=∫cos22xdx As we know that the trigonometric identity: cos2x=121+cos2x So,…

Q: Find the solution set of 32x+2 – 28(3")+3=0. -

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Q: The solution of v(x+6)+6=9 is: O x = 11 X = -1 O x = 3 no real solution

A: We need to solve the equation x+6+6=9

Q: 三一 (b) y + 65 +9y-4-12e-3#

A:

Q: In a learning experiment, a subject is first given x minutes to examine a list of facts. The fact…

A: Given: Sx,y=x2+5xy+15x-y2+3y+25 Sx=2x+5y+15Sy=-2y+3+5x Put  Sx=0 and Sy=0…

Q: 1 2 -In(v) – = In(x) + InC .....

A:

Q: Determine the number of nonnegative integer solutions to the integer equation (note the variable…

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Q: find the value of n for which of the following sytem of linear equations has no solution. 3x ny=5…

A:

Q: Find all integer solutions to the Diophantine equation 22x+ 28y= 6

A: In this question, we solve the Diophantine equation for integer solutions. The Diophantine equation…

Q: Find all integer solutions to 66X + 42Y = 258. Also find all solutions (x, y) with x, y positive…

A: Given : 66X + 42Y = 258