The market equilibrium refers to the condition in which the price and the quantity are in equilibrium if the conditions of supply (what the producers offer) and demand (what the consumers buy) don't change.

In this case we have that as the other kids decide to sell more lemonade the amount of lemonade is going to increase (equilibrium quantity) and because of this the price is going to decrease (equilibrium price).

Then when the other kids open theirown lemonade stand, the equilibrium price <u>descreased</u> and the equilibrium quantity <u>increased.</u>

6 0

4 years ago

Suppose electric power is supplied from two independent sources which work with probabilities 0.4, 0.5, respectively. if both so

sattari [20]

Answer:

The answers to the questions are as follows

a) k = 0, P = 0.3

k = 1, P = 0.5

k = 0, P = 0.2

b) The probability that enough power will be available is 0.5.

Explanation:

To solve the question we write the parameters as follows

Probability that the first power source works = P(A) = 0.4

Probability that the second power source works = P(B) = 0.5

When both sources are supplying power we have the probability = 1

If non of them is producing the probability = 0

a) The probability that exactly k sources work for k=0,1,2 is given by

For k = 0, probability = (1- P(A))× (1- P(B)) = 0.6 × 0.5 =0.3

Therefore the probabilities that exactly 0 source work = 0.3

for k = 1 we have the probability = P(A)(1-P(B)) + P(B)(1-P(A)

= 0.4(1-0.5)+0.5(1-0.4) = 0.2 + 0.3 = 0.5

The probabilities that exactly 1 source work = 0.5

for k = 2 we have the probability given by = P(A) × P(B) = 0.4 × 0.5 = 0.2

Therefore the probability that exactly 2 sources work = 0.2

b) The probability that enough power will be available is

0 × P(k = 0) + 0.6 × P(k = 1) + 1 × P(k = 2)

0 × 0.2 + 0.6 × 0.5 + 1 × 0.2 = 0.5

The probability that enough power will be available is 0.5.

3 0

3 years ago

A ball of mass m and weight mg is held at rest by two strings. One string makes an angle θ with the vertical. The other is horiz

malfutka [58]

Answer:

W = M g weight of ball

T cos θ = W balancing vertical forces

T sin θ = F balancing horizontal forces

tan θ = F / W dividing equations

F = W tan θ when θ equals zero F equals zero

6 0

1 year ago