Yes, polygons are always plane figures
Simplifying
8 + 6t = 3t + t
Combine like terms: 3t + t = 4t
8 + 6t = 4t
Solving
8 + 6t = 4t
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-4t' to each side of the equation.
8 + 6t + -4t = 4t + -4t
Combine like terms: 6t + -4t = 2t
8 + 2t = 4t + -4t
Combine like terms: 4t + -4t = 0
8 + 2t = 0
Add '-8' to each side of the equation.
8 + -8 + 2t = 0 + -8
Combine like terms: 8 + -8 = 0
0 + 2t = 0 + -8
2t = 0 + -8
Combine like terms: 0 + -8 = -8
2t = -8
Divide each side by '2'.
t = -4
Simplifying
t = -4
-- If FE is the longest side in the right triangle, then
the length of the missing side is 22.956... (rounded).
-- If FE is not the longest side in the right triangle,
then the length of the missing side is 25 (exactly).
Answer:
a. 0.58
b. 0.78
Step-by-step explanation:
a. The probability of egg come from B1 or B2
P(B1) = 3000/10000 = 0.3
P(B2) = 4000/10000 = 0.4
P(P1 ∪ B2) = 0.3 + 0.4 -(0.3)(0.4)
P(P1 ∪ B2) = 0.7 - 0.12
P(P1 ∪ B2) = 0.58
b. The probability that the market received an egg that is acceptable
P(received an egg that is acceptable) = P(B1 acceptable) + P(B2 acceptable) + P(B3 acceptable)
P(received an egg that is acceptable) = 0.80*3000 + 0.90*4000 + 0.60*3000 / 10000
P(received an egg that is acceptable) = 2400 + 3600 + 1800 / 10000
P(received an egg that is acceptable) = 7800 / 10000
P(received an egg that is acceptable) = 0.78
