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Afina-wow [57]
3 years ago
7

Calculate the value of a​

Mathematics
1 answer:
Triss [41]3 years ago
4 0
<h3>Answer:</h3>

25°

<h3>Step-by-step explanation:</h3><h3></h3>

<em>Angles in a circle add up to 360°</em>

5a + (a + 60) + (2a + 100) = 360

5a + 3a + 160 = 360

5a + 3a = 8a

8a + 160 = 360

<em />

<em>Make a the subject</em>

8a + 160 = 360

8a = 200

200 ÷ 8 = 25°

Have a great day <3

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Answer:

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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

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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%

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In other words, if the answer was n^2, then the first term would be 1^2 = 1, the second term would be 2^2 = 4, and so on. But again, we started with 0^2 = 0, so that's why we need the n-1 shift.

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