Triangle OMG has vertices O (6, 4), M (-8, 0), G (2, -2). It is dilated and the image coordinates are O' (3, 2) M' (-4, 0) G' (1
2 answers:
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Answer:
a) 0.7225
b) 0.5220
c) 0.478
It is not unusual.
Step-by-step explanation:
Probability grocery bags are plastic = 85% = 0.85
a) If two grocery bags are chosen at random, the probability that both grocery bags are plastic would be:
b) If four bags are chosen at random, the probability that all are plastic:
Probability all four bags chosen randomly are plastic bags is 0.5220
c) The probability that at least one of four randomly selected grocery bags is paper:
Let's first check for the probability of getting a paper bag.
P(paper bag) = 1 - 0.85 = 0.15
Probability of getting a paper bag is 0.15
Probability that at least one of four randomly selected grocery bags is paper would be:
Since the probability that at least one bag is paper, 0.478 is greater than 0.05, it is not unusual.
Step-by-step explanation:
You need to use trigonometric stuff here. Since you're given the hypotenuse and an angle you can plug that right into an equation.
Recall that sin is opposite over hypotenuse and cos is adjacent over hypotenuse.
Now that you know the opposite side (DC) you can use tan, too, but I'm going to use cos.
This is the adjacent side (BC). I put it in its exact value, but in decimal form it's ≈12.124.
Now you can do the perimeter:
Your answer is the 38.2