Let x be the number of teachers among 3 people selected randomly from a group  consisting of 3 students, 7 teachers and 1 custodian. (a) Find P x( 1) = . (b) Find P x( 2) = .

Q: What is the value of h(n) when n = 1 in the piecewise function, h(n) = 2n + 1 if n > 0 and h(n) =…

A: A piecewise function f(x) has a different relation between x and y in different domains of x as per…

Q: Solve the following function for the value (s) of x  2x2-6x+4=0 a)(2,0) (1,0) b)(-2,0) (1,0)…

A:

Q: If p assigns a quantity x to a second quantity, y, what is the range if p(x) = 3(x – 6)² + 11.2?…

A:

Q: 4 Compute f(g(x)) where f(x) =x* -x and g(x) =x²-11. dx The answer is

A:

Q: Let fix)= 2x-3 and gix)=x?+4x-4 . Evaluate: f(-3)= gt2)= f(a-2):

A: Given: f(x)=2x-3g(x)=x2+4x-4

Q: A utility function is given as                         S (n) = - (n – 4)2 + 15             where S…

A: Given function

Q: if P(G) = 0.0086 and P(F) = 0.0000087 how do you find P(G | F) (dependent)

A:

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: 1b. please express in the notation p(x)=d(x)q(x)+r(x)

A: Given that,   Where p(x) denotes a polynomial and d(x) denotes a divisor.   Q(x) is quotients and…

Q: 16) f(n) = n² – 2n; Find f(n²)

A: Solution:

Q: 3. Suppose g(x) = -3x² – 4 Find a) g(-3) and b) g(p + 2) %3D

A: Given: g(x) = -3x2-4

Q: 7. Given f (x) = 4 +3|2x + 4|, find f (-3). %3D

A: Given that f(x) = 4 + 3 |2x + 4| We need to find value of f(-3). Now, Put the value x = -3 in given…

Q: X- (X)NI X 13g Tol tuods JadW (q )

A: Topic:- derivatives

Q: Drawthegraphofy = -e(x- 2).

A: Given- y=-ex-2 To draw- The graph of the above expression.

Q: It is given that f(x)= a(4*) and f(2)=48. (а) (b) 1 Find the value of a. If f(k+1)– f (k –1)=90,…

A: We have to find the value of k and a

Q: Var(X) = Var(Y) = 10.  If X and Y are independent - calculate the value of Var(0.6X + 0.4Y + 10).

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…