The population be represented of rabbits in a forest over a 12-month span ca by : () r(t) = 1000-500sin

Q: An equipment currently worth $15,549 is expected to be worth $12,704 in 5 years. Assuming linear…

A: Here, given that the equipment is currently worth $15,549 and is expected to be worth $12,704 in 5…

Q: Suppose E(X) = 2, E(Y) = 18, a = 0.05, and b = 0.95. What is E(aX+bY)? (Please round to two decimal…

A: Given, E(X) = 2, E(Y) = 18, a = 0.05, and b = 0.95

Q: PMT is Maximum Monthly Payment = 3,504 i = 3/1200 n = 360

A:

Q: Given that dx = m. a) Find [g(x) – 8] - 8] dx. [Select ] b) Find 3g(x - - 3) dx. [Select] | g(x) da…

A:

Q: f = (-0.17) =

A:

Q: The effective reproductive number (Re) can be defined as the average number of new infections caused…

A: Given for a highly virulent disease the basic reproductive number is R0=3 and the population immune…

Q: Find a power series for each of the following, centered at a = 0 for parts (a) - (d) and centered at…

A: The function f(x)  is a rule that associates or fixes a number to the particular point x. Derivative…

Q: Find f. f"(x) = 6 + 6x + 24x2, f(0) = 2, f(1) = 12 f(x) =

A:

Q: Suppose E(X) = 93, E(Y) = 95, a = 0.09, and b = 0.91. What is E(aX+bY)? (Please round to two decimal…

A: The objective of the question is to find the expected value of the linear combination of two random…

Q: Suppose E(X) = 100, E(Y) = 4, a = 0.91, and b = 0.09. What is E(aX+bY)? (Please round to two decimal…

A: The objective of this question is to find the expected value of a linear combination of two random…

Q: f fo=2x and g)= x-4. what is the value of rCg(3))?

A: f(x)=2x and g(x)=x-4

Q: | Aut (Z561)| =

A: We have to fin the cardinality of  Aut(Z561) that is  | Aut(Z561)|.   Result used (1)      ϕ(p×q×r)…

Q: arg(z) = 1/4

A:

Q: P(A | B) = 0.1, P(B) = 0.7, P(A | B') = 0.4. Find P(B | A).

A:

Q: A news item is broadcast by mass media to a potential audience of 50,000 people. After t days, f (t)…

A: a) The number of people will have heard the news after t days will be ft=50,0001-e-0.3t To find how…

Q: Given f(x)=x+(1/x).   Find f(a).

A: Given, The function is f(x)=x+(1/x).

Q: The values for P(A₁B) and P(A₂B) were found to be 0.20 and 0.02, respectively. Use these values to…

A: The values for P(A1nB) and P(A2nB) were found to be 0.20 and 0.02 P(A1nB) = 0.20 P(A2nB) = 0.02 Find…

Q: Let f(1) = 2 and "(1) = 3. Suppose g(a) = f(a)]. Calculate g(1). %3D

A:

Q: Suppose the E(X) = 2.5 and Var(X) = 1. If the variable Y is related to X by: Y = 2x - 2, find the…

A: We foil the expected value to obtain  E[(2X−2)2]=E[4X2-8X+4]=4E[X2]−8E[X]+4 We know the mean is 2.5…

Q: Solve for x: e2x – 3e* = 10 In x+ In(x – 7) = In(9x – 55) -

A:

Q: A bacteria culture grows with a constant relative growth rate. The bacteria count was 784 after 2…

A: ⇒Pt=P0ekt⇒Pt=Population at time t⇒P0=Initial population⇒k=relative growth rate ⇒t=time in hours

Q: Suppose E(X) = 62, E(Y) = 91, a = 0.38, and b = 0.62. What is E(aX+bY)? (Please round to two decimal…

A: E(X) = 62, E(Y) = 91, a = 0.38, and b = 0.62.E(aX+bY)=aE(x)+bE(y)

Q: 25 In (x) X dx

A:

Q: Given f (3) = 5, f'(3) = 1.1, g(3) = –4 and g'(3) = 0.7, find 2(3). -0.49375 -0.025 1.975 0.49375…

A: We will use the quotient rule of differentiation to evaluate the required functional value

Q: E(1|X-x)=? (ocx

A: marginal of xf(x)=∫f(y)dymarginal of yf(y)=∫f(x)dxf(y/x)=f(x,y)f(x)and E(y/x)=∫yf(y/x)dy

Q: The deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the…

A: Given that the height of the pebble above the water surface after t seconds is y=285-16t2 and t=2.…

Q: P(A)= 0.23, P(B)= 0.46, P(A and B)= 0.15 Calculate P(A' and B)

A: Answer: From the given data, P(A) = 0.23 P(B) = 0.46 P(A and B) = 0.15

Q: In a natural habitat, the population of a certain species of snails is given by P= 0.8(Ae* +500),…

A:

Q: Suppose E(X) = 69, E(Y) = 91, a = 0.43, and b = 0.57. What is E(aX+bY)? (Please round to two decimal…

A: Given,E(X) = 69, E(Y) = 91, a = 0.43, and b = 0.57

Q: Suppose E(X) = 77, E(Y) = 48, a = 0.36, and b = 0.64. What is E(aX+bY)? (Please round to two decimal…

A: Given,E(X)=77E(Y)=48a=0.36b=0.64