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%
Answer:
( x + 3 )² - 27
Step-by-step explanation:
x² + 6x = 18
→ Minus 18 from both sides to get a quadratic equation
x² + 6x - 18
⇒Completed square from is ( x + a )² + b
⇒The value of 'a' will always be half the 'b' value in the equation
ax² + bx + c
→( x + 3 )² + b
Expand out the equation to find 'b'
x² + 6x + 9
We have do something to get from 9 to - 18 which -27
So the answer is ( x + 3 )² -27
Answer:
$ 27.09
Step-by-step explanation:
Given,
The regular price of the watch = $ 32.25,
The marked off percentage or discount percentage, in the sale = 16%,
So, the amount of marked off = 16% of regular price
= 16% of 32.25
= 0.16 × 32.25
= $ 5.16
Hence, the the price of the watch during the sale = Regular price - marked off
= $ 32.25 - $ 5.16
= $ 27.09
Last option is correct.
