Answer:
a) 0.8333
b) 0.75
c) 0.8181 or 0.9090
Step-by-step explanation:
a)
The probability the visitor selects an authentic painting is
10/12 = 0.8333
b)
Since the opinion of the expert does not depend on your choice, the events are <em>independent</em>, so the probability that the expert says is authentic and it really is, is
0.8333*0.9 = 0.75
c)
If the expert decides the painting is a copy and it is not, then there are 11 paintings of which 9 are authentic, so the probability the visitor selects a new original painting is
9/11= 0.8181
If the expert decides the painting is a copy and it is, then there are 11 paintings of which 10 are authentic, so the probability the visitor selects a new original painting is
10/11= 0.9090
9514 1404 393
Answer:
-1/2
Step-by-step explanation:
The factor outside parentheses multiplies each term inside.
5/2(-8/5 +7/5)
= (5/2)(-8/5) +(5/2)(7/5)
= -8/2 +7/2 = -1/2
F(x) = (2x-1)(x+2)/ (x+2)
f(x) = 2x-1
f(-2) = 2(-2)-1
f(-2) = -5
Answer:
f(x) = 3x² - 14x - 5
Step-by-step explanation:
multiply the factors: (x + 1/3)(x - 5)
x² - 5x + 1/3x - 5/3
x² -14/3x - 5/3
multiply by 3 to eliminate fractions:
3x² - 14x - 5
