Notice the picture below
so.... the angle of depression, is above in dashed lines.... however, the angle of depression, is identical to the angle of elevation from the water, since, both angles are "alternate interior" angles
now, using the 45-45-90 rule, then we know the swimmer is 90 feet from the lighthouse, then just use the tangent ratio to get "x"
Answer:
a) There is a 66.7% chance that you were given box 1
b) There is a 80% chance that you were given box 1
Step-by-step explanation:
To find this, we need to note that there is a 1/10 chance of getting a defective bulb with box 1 and a 1/20 chance in box 2.
a) To find the answer to this, find the probability of getting a defective bulb for each box. Since there is only one bulb pulled in this example, we just use the base numbers given.
Box 1 = 1/10
Box 2 = 1/2
From this we can see that Box 1 is twice as likely that you get a defective bulb. As a result, the percentage chance would be 2/3 or 66.7%
b) For this answer, we need to square each of the probabilities in order to get the probability of getting a defective one twice.
Box 1 = 1/10^2 = 1/100
Box 2 = 1/20^2 = 1/400
As a result, Box 1 is four times more likely. This means that it would be a 4/5 chance and have a probability of 80%
You can buy 5 bottles because $4 times 5 equals $20. I hope this helps :)
Answer:
x=17/14
Step-by-step explanation:
(7/9)x+2=(5/6)
18 is the least common multiple between 9 and 6, so we can multiply each fraction by 18.
7 18 126
---- * ------ = -------- = 14
9 1 9
14x+2=(5/6)
5 18 90
---- * ------ = --------- = 15
6 1 6
14x+2=15
<u> +2 +2</u>
14x=17
x=17/14
Hope this helps!
