Given P(A)=0.33, P(B)=0.6 and P(A∩B)=0.248, find the value of P(A∪B), rounding to the nearest thousandth.

The value of P(A ∪ B) is 0.682 to the nearest thousandth

Step-by-step explanation:

The addition rule of probability is:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B), where P(A ∪ B) is probability A or B , P(A ∩ B) is probability A and B

∵ P(A) = 0.33

∵ P(B) = 0.6

∵ P(A ∩ B) = 0.248

- Substitute these values in the rule above

∴ P(A ∪ B) = 0.33 + 0.6 - 0.248

∴ P(A ∪ B) = 0.682

The value of P(A ∪ B) is 0.682 to the nearest thousandth

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

how do heroes resolve conflicts in beowulf?

question 15 options:

they sue each other in court

they get a mediator

the seek counseling

they get even or take revenge

step-by-step explanation: