Answer:
0.675675675 = 67.57%
Step-by-step explanation:
P(P₀) = 0.76
P(P₁) = 0.09
P(P₂) = 0.02
P(P₃) = 0.01
P(P₄) = 0.02
P(P₅) = 0.1
P(F) is the probability that the first painting is a forgery
P(F | P₀) = 0
P(F | P₁) = 0.2
P(F | P₂) = 0.4
P(F | P₃) = 0.6
P(F | P₄) = 0.8
P(F | P₅) = 1
P(P₅ | F) = [P(F | P₅) x P(P₅)] / {[P(F | P₁) x P(P₁)] + [P(F | P₂) x P(P₂)] + [P(F | P₃) x P(P₃)] + [P(F | P₄) x P(P₄)] + [P(F | P₅) x P(P₅)]}
P(P₅ | F) = (1 x 0.1) / [(0.2 x 0.09) + (0.4 x 0.02) + (0.6 x 0.01) + (0.8 x 0.02) + (1 x 0.1)] = 0.1 / (0.018 + 0.008 + 0.006 + 0.016 + 0.1) = 0.1 / 0.148 = 0.675675675 = 67.57%
Hi there!
There are many ways to find the measure of an exterior angle of a triangle. I'll explain the easiest method to you. As you can see in the image, a line is drawn extending a side of the triangle. In order to find the measure of the exterior angle, we can subtract the measure of the
adjacent interior angle from 180 (a straight angle). Doing this subtraction will give us the measure of the exterior angle.
Hope this helps!! :)
Answer:
25/30 and 28/30
Step-by-step explanation:
1. To find the least common denominator, you need to find the least common multiple of the two denominators which are 6 and 15. Prime factorization of these numbers gives:
6 = 2 x 3
15 = 5 x 3
A number that would evenly divide both 6 and 15 must contain 2 x 3 x 5 which is 30.
Thus 30 is the least common denominator.
2. Now we need to somehow change both fractions to make them have a denominator of 30. To do this we can multiply by fractions with same numerator and denominator since that would be like multiplying by 1.
So, 5/6 x 5/5 = 25/30
And 14/15 x 2/2 = 28/30
68 + 54 + 59 + 70 + 69 + 65 + 73 + 59 + 74 + 54 = 586 grams
586 grams/10 = 58.6 grams (if you round it, you will get 59 grams)
hope this helps!!