1) The function g is defined and the set R of real numbers by g(x) = 3x + 2. Find g1, the inverse of g. c. 0. A. 2x - 3 В. Зх - 2 2) A binary operation * is defined on the set R of real numbers by • y = x +y + 4xy. if (5 • k) = (4 • k) + 9. Find the value of the constant k. A. 2 В. З C.4 D. 5 3) Solve the inequality x-3x + 220. A. Isxs2 B. xsl or x22 C. xS-l or x2 2 D. C. xS-2 or x 21

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Q: Find (F÷a) an FIx)= 14,+2

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Q: 2. Use f(x) = 2x + 5 and g(x) = x^2 + x - 6 for following combinations. A. (f+g)(x) = B. (g-f)(x) =…

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Q: lim (x3 +x

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Q: Which of these constantFor each statement below, enter all of the possible constants (letters a, b,…

A: Refer to the question,The graph of the function y = a^x , where 0<a<1,  that is it has…

Q: (х+3) (х-2) (x+2)(х-1)

A: Here we have to solve, 1) (x+3)(x-2)(x+2)(x-1)≥0 2) 2-x33x-1x3+1≤0

Q: 2 01 0 4 -1 A =| 2 1 -3 1

A: The inverse of a matrix is given by: A-1=1AAdj(A) where A is the determinant of the matrix and…

Q: Expressions & Equations - 3/10 Once simplified, which of the expressions below is equal to 14x + 3?…

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Q: If mZJKL=(8x-6) and mJML = (25x – 13), find mJML. K 360-25x 313458 M 3k: C-b 날 81-6-25X-13 -3- 200

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Q: Expand and simplfy  (x-3)(x+6)

A: We need to expand and simplify (x-3)(x+6)

Q: 2₁ Let x = {-5, -4, -3, -2, -1101112,3,4,5} L = {0, x {-5} {-5₁-4},{-5₁-4,-3}, {-S₁-4, -3, -2) A =…

A: Answer given below.

Q: 1. Choose THREE of the following expressions to expand and simplify: [ а. (3х - 4)2 b. (p+4)(p-5) c.…

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Q: A student was asked to simplify the expression He - 2(x + 2) showed his work as follows, but his…

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Q: 2 3x -7X 2. ーX+2X 3x-7X Plug-1 in the (x) -x²+2 X 2.

A: The answer is   -10 / 3.

Q: 17) Explain why these two quotients are different. Compute each one. (x – 2)* x* - 16 and X-2 x- 2

A: (a-b)2= (a-b)(a-b) and a2-b2=(a-b)(a+b)…

Q: tuaction Determine wihere the betowi is nat cantinons 4t + 10 t2-2tー15 h(t)=.

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Q: Show that x -4 15a facter of x* - x + 2x* + 20x - 24.

A: Let suppose g(x) is the factor of f(x) ,then g(x) will completely divide f(x), i.e. remainder (f(x)/…

Q: If x +30=11x , then which of the following shows all possible values of x? (-3, -10) B) (-6, 5) C)…

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Q: If web₁x-b₂y-b3z, w= where b₁,b2, b3 are constants and b² + b² + b = 1. Show that 8² w 8² w 8² w əx²…

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Q: This means : ^2 to the second power . The drawing shows a diagram that proves the Pythagorean…

A: The statement "A" is correct. From A, we have a+b2=412ab+c2⇒a2+2ab+b2=2ab+c2 . . . . . (1) In…

Q: Choose the formula in which TWO instances of the variable "x" are free:  a) ((∀x)Gx -> (Fx -> Hx))…

A: In the given question we have to choose the correct option from the given options s.t two instance…

Q: Express -25 22+7x+10 in simplest form. Show all work.

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Q: Which of the following expressions can be written as (ax+b)(ax-b), where a and b are integers?…

A: To express which of the following expressions can be written as (ax+b)(ax-b), where a and b are…

Q: Let F ={ (-6,4),(-5,3),(4,-6),(3,-5),(1,5),(2,6),(-3,5),(-8,2),(6,4)} G=…

A: Given sets are  F ={ (-6,4),(-5,3),(4,-6),(3,-5),(1,5),(2,6),(-3,5),(-8,2),(6,4)}G=…

Q: 7.) (x+ 7x-44) ÷ ( x+ 9)

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Q: 1. In 2x(x+3)=2x^2+6x; 2x^2+6x is called the?

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Choose the domain of the relation: (-1, 1, 3,4) All real numbers {-4, -1. 1, 3, 4) {-4, 1, 3)

A: d is correct Domain {-4,1,3}

Q: 5x-2x-19 9) Evaluate (x+3(x-1)

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Q: Let аз +-(633) A and suppose that det A = 8. Determine det B if b3 B = a15c1a2+5c2 a3 +5c3 -3c1 -3c2…

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Q: Use the relation {(3,5),(-4,6),(3,8), (2,4), (1,3). I need help finding the domian and the range!

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Q: {(-2, 7), (1, 3), (3, –3), (8, – 2)} А. Domain : {7, 3, —3, —2} Range : {-2, 1, 3, 8} В. Domain :…

A: The given set  A = {(-2, 7), (1, 3), (3, - 3), (8, - 2)}

Q: Write a function called testQ which returns True if its argument is 0, 100 or an even integer…

A: I'm writing a python  function in next step

Q: Let a = (-1, -3, 2) and 6 = (1, -1, - 4). Find a x b.. V

A: Let .To find .

Q: 04: Find x and y which satisfy the relation: -4 XZ ×-- ]

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Q: Letr = (15462 37) and q = (2 4 5 6) be permutations in S7, written in cycle notation. What is the…

A: The given permutations are r=(1 5 4 6 2 3 7) , q=(2 4 5 6). To write: The second line of r in…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!