Answer:
option B. G
Step-by-step explanation:
Let
y ---->ounces of orange juice
x ---> ounces of pineapple juice
we know that
The ratio of orange juice to pineapple juice is equal to

substitute the given values

simplify

<u><em>Verify each graph</em></u>
Remember that the formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
we have

that means
5 ounces of orange juice per 3 ounces of pineapple juice
Graph F
The slope is

Graph G
The slope is

Graph H
The slope is

Graph J
The slope is

The value of 2 is the value closest to 1.67
therefore
The graph that has a slope that best represents the ratio of orange juice to pineapple juice is Graph G
Yes, I will list acute first (<90) and obtuse second (>90) and they need to add to 180
10 and 170
20 and 160
30 and 150
40 and 140
50 and 130
60 and 120
70 and 110
80 and 100 and so on
Answer: 0.51
Step-by-step explanation:
This is a conditional probability. The first event is the airplane accident being caused by structural failure. The probability of it being due to structural failure is 0.3 and the probability of it not being due to structural failure is 0.7. The second event involves the diagnosis of the event. If a plane fails due to structural failure, the probability that it will be diagnosed and the results will say it was due to structural failure is 0.85, and the probability that the diagnosis is unable to identify that it was because of a structural failure is 0.15. If the plane were to fail as a result of some other reason aside structural failure, the probability that the diagnosis will show that it was as a result of structural failure is 0.35 and the probability of the diagnosis showing that is is not as a result of structural failure is 0.65. To find the probability that an airplane failed due to structural failure given that it was diagnosed that it failed due to some malfunction, this is the equation;
p = (probability of plane failing and diagnosis reporting that the failure was due to structural failure)/ (probability of diagnosis reporting that failure was due to structural failure)
p = (0.3*0.85)/((0.3*0.85) + (0.7*0.35))
p = 0.51