Prove using the properties of set operations: a. If A and B are sets then [(A - B)c n A] C B

Q: 10 If $400 per month is deposited into an account earning 6.2% compounded monthly, the value of an…

A: Annuities are of two types  (i) Ordinary annuities and (ii) Annuities due  Ordinary Annuities : An…

Q: 21 Given the matrices, A = (2 -3) and B = -3 2 find the product AB? AB = (-4 - 3) AB = (-7 1) AB =…

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Q: 7+3.5-11

A: Let's Solve,

Q: 18 Let an experiment be tossing a fair coin once, what is the probability of getting 2 heads? * 0.5…

A: Givena fair coin tossed once

Q: A combination lock on a suitcase has 4 wheels, each labeled with digits 1 to 6. How many 4- digit…

A: Here we want 4-digit combinations.  For each digit in the combination, we have 6 different choices…

Q: 12 5(.8)0

A: We can solve given problem by using G.P series.

Q: 20 A linear programming model has an objective function, M = 3x + 4y. Which of the following ordered…

A:

Q: Question 7 Integrate the function. x + 6 dx *+3Xx +5) (A (x+3)3 X +5 +C x+5 X+3 (x+3 X+5 x+ 3)3 In X…

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Q: Integrate the function. 8 dx V36 - 64x2 X+ C sin-1 + C -1 + C D 4 tan-1 3. B

A: Given:       ∫836-64x2dx  substitute u=4x3→dudx=43                   dx=34du         =∫636-36u2du…

Q: Select the true statement about the equation's graph. 2. y = r+ 6x + 8 %3D O The vertex is at…

A: Given equation is y=x2+6x+8 So the vertex is: x =-b/(2a)= -6/(2×1)= -3   At x=-3, y= (-3)2+6(-3)+8 =…

Q: You randomly choose a ball from a bag. The bag contains 3 red balls, 10 green balls, 8 blue balls…

A: We want to find probability of choosing green ball.

Q: Listed below are the annual tuition amounts of the 10 most expensive colleges in a country for a…

A: Given the data on the annual expenses of the 10 most expensive colleges in the country.Want to…

Q: Find the integral. e2xx2dx

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Q: Suppose you are solving a system of linear equations using Gauss Jordan Elimination and you arrive…

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Q: Two cards are chosen from a 52-card deck, how many ways can 2 Queens be choser

A: There are total of 4 queens in the deck of 52 cards.  We need to choose 2 queens .

Q: Question 8 Integrate the function. dx V9 - x2 COs:1 X+C 2 cos x+ sin x+C D sin *-C Question 9 413

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Q: At UWI-ROYTEC, 250 students were surveyed and the information collected is illustrated in the Venn…

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Q: In an experiment, college students were given either four quarters or a $1 bill and they could…

A: The data shows the four quarters or a $1 bill and they could either keep the money or spend it on…

Q: 5. A group of 60 music students were surveyed. 15 play the piano, 20 play the flute, and 30 play…

A: Given: A group of 60 music students were surveyed. 15 play piano, 20 play flute, and 30 play guitar.…

Q: (3 Find the determinant of the matrix 1 -4 D -2 ) 10 ) -10 2.

A: Given problem:-

Q: Show that the given equation is homogeneous. Hence, solve the initial value problem dy (x² + 2xy) –…

A: We are given  the differential equation,(x2+2xy)dydx-2y2=-x2⇒dydx=-x2+2y2x2+2xy=F(x,y)…

Q: For a negatively skewed distribution, what is the most probable order for the three measures of…

A: For a negatively skewed distribution Mean, Median, Mode is the most probable order for three…

Q: Integrate the function. dx Jzx (1+x) A sin-1 +C tan-1 C In |x|•C D tan-1 .C

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Q: Solve using Gauss Jordan Elimination: 3x+6y+12z = -9 4x +7y+13z =-10 %3D 2x+6y+15z = -12 %3D

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Q: Find the amount due on a loan of $6500 at 8% simple interest at the end of 4 vear

A: Given P=$6500Rate= 8%Time = 4 yearsWe know that I=PTR100