What is the value of 5/6+(-4/9)-(-2)
1 answer:
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Answer:
The system of equations for the given situation is:
Step-by-step explanation:
Given:
Regular basket is worth = 2 points
Long distance basket is worth =3 points
Total baskets in a game = 54
Total points in total = 118
represents the number of regular baskets
represents the number of long distance baskets.
Expression for total baskets can be given by ⇒
Thus first equation representing total baskets in a game is given by:
Since a regular basket is worth 2 points
So regular baskets would be worth
points
Since a long distance basket is worth 3 points
So long distance baskets would be worth
points
Expression for total points in a game can be given by ⇒
Thus second equation representing total points in a game is given by:
∴ The system of equations for the given situation is:
Answer:
The probability that the final settlement amount is between 1 and 3 given that the initial claim is 2 = (2/9) = 0.2222
Step-by-step explanation:
The complete question is presented in the attached image to this solution
The joint probability distribution is given as
f(x, y) = {2/[x²(x - 1)} × y^-[(2x-1)/(x-1)] for x>1 And y>1
Given that the initial claim estiamted by the comapny is 2, determine the probability that the final settlement amount is between 1 and 3.
That is, x = 2, and y ranges from 1 to 3
Inserting x = 2 into the expression, we obtain
f(y) = (1/2) × y⁻³ = (y⁻³/2)
The required probability would then be
P(1 < y ≤ 3) = ∫³₁ f(y) dy
= ∫³₁ (y⁻³/2) dy
= [y⁻²/-4]³₁
= [3⁻²/-4] - [1⁻²/-4]
= (-1/36) - (-1/4)
= (1/4) - (1/36)
= (8/36)
= (2/9) = 0.2222
Hope this Helps!!!
