4. (Sec. 4.2) The daily amount of water used (in 100s of gallons) at a particular household is a rv X with pdf J2(1- for 2 3 r-1)2 0 otherwise (a) Compute the cdf of X (b) Obtain an expression for the (100p)th percentile. What is the value of (c) Compute E(X) and V(X) (d) If 275 (2.75 hundred) gallons new water is allocated to that house throughout the day, how much of the 275 gallons is expected to be left at the end of the day? are allocated for this household at the beginning of the day and no

Q: 1. 2x - 1 2x - 3 X x+1 2x + 1 2x² - x - 3 = 0

A: We can solve the given equation by using the cross multiplication method.

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: DETERMINE the qoutient Q(X)AND REMINDER R(X)FOR (x³ -2x² +112x+3) ÷ (x+3)

A:

Q: 3. Simplify the following expressions. A. 2/(x-3) B. (x-3)/5 5x 2x² + 7x +3 x + 3 2x² – 3x - 2 C.…

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Q: a. x − 1 _ x² + 2x − 3 x2 x+2

A:

Q: Set B (x+7)(x-3) 20 20 x+6 x+7 <0 x-5 x+3 20 x-10 1. x-1 x+3 3. 2.

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Q: If m<1 = 6(3x+1)-2, m<2= 3(x+2)+9, and m<ABC= 5(3x+5)+6, find x and m<ABC.

A: Given,           ∠1=63x+1-2           ∠2=3x+2+9            ∠ABC=53x+5+6

Q: √√7+X + find x + 2-X + 14-5X-x2 = x + 2 x+9

A: We need to solve the equation: 7+x+2-x+14-5x-x2=x2+x+9.

Q: 6. Expand and simplify each of the following algebraic expressions. c) 4x(x-3y)2 d) (3x - [6+3x -…

A: Given that: (c)4x(x-3y)2 (d)(3x-[6+3x-(4x+1)+2])

Q: Vhạt is the end behavior of each of the followin 1) y = :-4x + 2x? + 7 2. y = 2x - 3x + 4 3. y = -x3…

A: As per guideline we have to solve only 3 subparts

Q: uppose Var(X) = 93, Var(Y) = 98, and X and Y are independent. What is Var(.6X + .4Y)?

A: Answer: - Given,  Var(X) = 93, Var(Y) = 98, and X and Y are independent.                 What is…

Q: at is the end behavior of each of the fo 1. y = -4x3 + 2x? +7 2. y = 2x - 3x + 4 3. y = -x³ + 2x5 -…

A: We have to find the end behaviour

Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: Determine the points of inflection of the following: 1. y = 3x4 – 10x3 –- 12.x2 + 12x – 7

A: Given:         y=3x4−10x3−12x2+12x−7

Q: If x>Q3 + 1.5 X IQR then x is an

A: We call a data point an outlier if it lies 1.5 times IQR below the first quartile (Q1) or 1.5 times…

Q: Find A.

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Q: 2. (3x+5)+(2x – 3)

A:

Q: B. INSTRUCTION: Perform the indicated operation. rx) = 9x - 15 g(x) = 2x* h(x) = GIVEN: Find: 4.…

A:

Q: x+1 1. 20 x-3 x-2 2. <0 3. x*-4x x-1

A:

Q: 1+1 is equals to?

A:

Q: *(2 + 16) (a + 8)(x + 4) 16 where z # a + 8 Submit Question

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Q: min xí + x1x2 + x2 X2 2 0 St{x1 + x2 < 3

A:

Q: If p = 4x³ + x² + 2x + 5 and          q = 6x³ + 3x² + x + 2  Find ||p||  and ||q||

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Q: (а) 3x< 5х—8

A:

Q: If a + 0, the degree of ax"y" is

A: Degree of a term is the highest power of variable if term has only one variable and degree of term…

Q: Evaluate the following r+1 (1) -1+1 (i) 1² – x + 2

A: Given: I=∫x+1x2-x+1dx For evaluating given integral, we simplify given expression then integrate it

Q: Prove that x -2x+2>0 for value of x.

A:

Q: 1. 2x - 1 2x - 3 X x + 1 2x + 1 2x² - x - 3 = 0

A: Given equation:- 2x-12x-3-xx+1-2x+12x2-x-3=0

Q: Compute the following. 35x4-32x3+15x²–10x+18dx -5

A:

Q: a) k(-13)  b) k(9) c) k(26)  k(-13)=  Given the function k described by k(x)=6x, find each of the…

A: (a)Given information:

Q: メ+5x+6 x-4x-21 X-1 x-1

A: The solution is given by long division of polynomial as follows :

Q: Show that 0. x+1

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Q: B. INSTRUCTION: Perform the indicated operation. rx) = 9x - 15 9(x) = 2x h(x) = GIVEN: Find: 4. g(x)…

A:

Q: Given that 3°x 64 and 5VP = 64. %3D [3x-1]3 Calculate, without the use of a calculator, the value of…

A:

Q: 2x² + x³ 3x² + 4x-9 1² +1 Q(x) + p(x) 1²+1

A: