Weekly activity (WEEK2) Show that each of the following is a probability mass function. 4. P(X = x) = 91' if x € {1,2,3, 4,5,6} 0,otherwise

Q: 3 < 2x - 0.5(2x + 6)

A:

Q: Suppose that y = 5x + 3 and it is required that y be within 0.005 units of 8. For what values of x…

A:

Q: ?= 2/3?(3?−5)^4 Find?′

A:

Q: 3. a. Find the intervals of increase and decrease for the following. y = 2x² - 8x + 1 b. y=x² + 160…

A: A function f (x) increases in the interval I if f'(x) &gt; 0 for all x in I.A function f (x)…

Q: Find the mean, variance, and standard deviation of the following discret uniform distribution and…

A:

Q: 7. Give the domain and range of f that you calculated above (item 6).

A:

Q: 3x+3/3 &lt; 3

A: We need to find the values of x for the given inequality holds good

Q: 4. Given a function Ax) with the function values A1) = 0, (2) = 64, A-1) = -24, and (0) = -20, which…

A: Given:  f(1) = 0 , f ( 2) = 64             f ( -1) = -24,  f ( 0 ) = -20  To Find: which value of x…

Q: 2 + x? -dx •4 29.

A: We have to find the integral

Q: What's x, if the perimeter of the rectangle is 20. /x+10 x+10

A:

Q: 3. Given 3 [2 -5 A = -4-4 and B 3 2 7 2. Find (1) A² (ii) B3 iii) f(B) x g(A)

A:

Q: For which values of x is x²-x-6>5* + 2? a. {x -2.4} c. {x<2.4}

A: To solve for x for the inequationAssume

Q: 3 (3+ x 2) 512

A:

Q: Evaluate. Use a capital C for any constant. fae 9 /6(82 – 1)(82² – 2æ + 3)° dæ (3(8x^2-2x+3)^10)/8 -

A: NOTE: Refresh your page if you can't see any equations. . ...............(1)

Q: If x² + = 1, find an expression for dx

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Find g(-2) if g(x) = 4x + 3. a. 19 b. -11 c. -8 d. -5

A: Consider  g(x) = 4x + 3

Q: 2=3/5 X-1/3 X +2/5 X   What does x =

A:

Q: 4- = 0

A: Please find attachment

Q: At which integer value of x are the functions y + 12 and y = A closest to being equal?

A: solve the above question by two type: 1) Graphically:

Q: (instruction: take x = - 1.50, – 1.00, - 0.50,0,0.50, 1.00, 1.50)

A:

Q: 3 4 2 3

A: Given query is to find the fraction.

Q: 5. How many zeros does this function has f(x)= 2x? - 5x - 7? с. 1 d. 3 a. None b. 2

A:

Q: 10 15 dx 6

A: Given integral is ∫10x-15x6dx.

Q: 1dx. x In x

A: Explanation: Given that, ∫1xlnxdx Suppose  u=lnxdu=1xdxdx=xdu now ∫1xlnxdx=∫xduxu…

Q: |b| = 1/2

A: |b|=1/2

Q: 1. Solve for x. 6. 9. 4.

A: TOPIC - intersecting chords theorem

Q: 16-X - 13 - 13 10-x x E 10 = 3.66 m

A: Given: 10-xx=3  ..1

Q: Find the value of x.(1+1/x)1+x=(1+1/23)23

A: x = -24Explanation:(1+x1​)1+x=(1+231​)23we can solve this problem in two waysi am going to solve…

Q: 2x4+5x2 – 3x +7 dx. Evaluate x2 +3

A: To findI=∫2x4+5x2-3x+7x2+3dx