1. The slope is -2/5 not 3-/10
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
If you look at the denominators, they all have a common number they can all multiply into: 24. If you multiply each number in the fraction so that the denominator equals 24, you get this:
1/6 x 4 = 4/24
1/4 x 6 = 6/24
3/8 x 3 = 6/24
Therefore, blue frosting (1/6) is used the least.
Hope this helps:
Answer:
50%: day 13
100%: day 26
Step-by-step explanation:
We are given two days and the amount of the moon that is illuminated. The two days are points on a straight line.
(1, 0.02), (2, 0.06)
y = mx + b
m = (0.06 - 0.02)/(2 - 1) = 0.04
y = 0.04x + b
0.02 = 0.04(1) + b
b = -0.02
y = 0.04x - 0.02
We want y = 50% = 0.5
0.04x - 0.02 = 0.5
0.04x = 0.52
x = 13
y = 100% = 1
0.04x - 0.02 = 1
0.04x = 1.02
x = 25.5
Answer:
Step-by-step explanation:
