A multiple choice test has 12 questions each of which has 5 possible answers, only one of which is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer exactly 3 questions correctly? O A) 0.764 O B) 0.00800 O C) 0.236 D) 0.283

Q: 14. ) -10 < 4t- 2 s 6

A:

Q: 8. Find the first four terms of (2a - 1)¹0. What is the coefficient of a³?

A:

Q: Vx2 – 1 2

A: ∫x2-1x2dxIntegrate by parts ∫fg'=fg-∫f'gf=x2-1, g'=1x2f'=xx2-1,g=-1x

Q: Expand (-3x + 11)(-4x – 9)

A: We have to expand the given expression.

Q: 4. 1+x+x* dx 1+x2 34.

A:

Q: 27. 2x + 3 + x2; for x 4 * 17 19 27 of

A: In the given question we have to find the value of  2x+3+x2 for x=4.

Q: 1. Solve for X 3x 75 = 1+ ( =) а. 5 + 12 60 b. 500,000 = (7+ %3D 12,

A:

Q: 37. lim 1+2e

A: Topic - limits  We are given limx→∞1-ex1+2exand we know thatlimx→∞ex=∞andlimx→∞1ex=0

Q: 3 125 3) = 5x 6. - 3 4,

A:

Q: s+1 l(s?+2s+2)2)

A:

Q: 1.6+0.4(x+6)+3.2

A: To simplify the expression means writing it in the simplest form.

Q: 1. ²-4 Difference of squares

A:

Q: 4 2x+x*/x-1 2. Evaluate S 2 1

A:

Q: The chart below shows the results of a sample of 10 workers from a large company. Employee Years of…

A: The independent variable is Years of Experience. The dependent variable is Income. The given data…

Q: -4 X+

A:

Q: L-1 (s+2)²+3 2.

A:

Q: Ч__3x т х-5 X2-4

A: Given,             4x-5+3xx2-4

Q: (c) Give an orthonormal basis for Span {x₁, X2, X3}.

A:

Q: (y>-- (2x-y 2-3 AALAM

A: Here we have to graph the given inequality:-  y&gt;-x2-22x-y ≥-3

Q: 5. 1-3 7 + 11 1 15 + 1 19

A: Given

Q: 2 4. Express 989 = 23 43 in the form x² + xy + 5y².

A: The given number is 989. The objective is to express the given number in the form of x2+xy+5y2.

Q: 8. Find YZ. 1 +1 19-31

A: Given: WXYZ is a parallelogram. And WX=11x+1YZ=19x-31

Q: 20. Solve for x. 27 x + 10 18

A: Intercept theorem states that if a line segment divides two or more parallel lines into equal parts,…

Q: 11x + 1 W

A:

Q: 5. Solve. 3 1 8. * – 25 x+5 X-5

A:

Q: e x + > 2 , x 0

A: The given equation isx+1x&gt;2x≠0

Q: y =x*In x -x3

A:

Q: 20 41. Find ²k²(k − 3). (Use Table 2.)

A:

Q: = 55. Determine the value of n if (5)

A:

Q: j2 -j3 2 Determine 1+j)

A:

Q: . n &gt; 5 only if n &gt; 7.

A: Given that n&gt;5 only if n&gt;7

Q: 4. 4 x+3 x-3 x2 -9

A:

Q: Show that [-3,0]| = |[-2, 7].

A: We say two sets have the same cardinality if there exists a bijection between the two sets.

Q: - 0.5 - (- 2 + 하) 14

A: Given: -14-0.5--2+710

Q: 12>m+3≥– 17

A: Given query is to find the solution of the inequality.

Q: 2. Evaluate In(-3).

A: We have to find ln(-3).

Q: x -8 = 0 +12x

A:

Q: 5) 3x + 5 > 17 or 4x + 5 < 21

A: We have to solve

Q: 25. 부 < 프등 1-a 4 2r-2 3

A: In this question , we can solve for 'x' .

Q: 1 (-7)2 dx r(x-7)2 6.

A: Given,  ∫1xx-72dx

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.