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Advocard [28]
3 years ago
6

A lot of 9 components contains 3 that are defective. Two components are drawn at random and tested. Let be the event that the fi

rst component drawn is defective, and let be the event that the second component drawn is defective. Write your answer as a fraction or a decimal, rounded to four decimal places.
Mathematics
1 answer:
kirza4 [7]3 years ago
7 0

Answer:

Probabilty of first component drawn defective= 0.1161

Probability of second component drawn defective= 0.1560

Step-by-step explanation:

Total component = 9

Defective component= 3

Non-defective component= 6

Probability of defective= 3/9

= 0.3333

Probabilty of non defective= 1-0.3333

= 0.6666

Probabilty of first component drawn is defective

= 9C1(0.333)¹(0.6666)^8

= 9(0.3333)(0.0387)

= 0.1161

Probabilty of second component is defective

= 8C1(0.3333)¹(0.6666)^7

= 8(0.3333)(0.0585)

= 0.1560

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6 0
3 years ago
Maggie‘s brother is 11 years younger than four times her age. The sum of their ages is 54. How old is Maggie?
lbvjy [14]

Answer:

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Step-by-step explanation:

Honestly, I just kept trying ages starting from 10 because I knew it wasn't going to be less than that. Then I did whatever age, in this case 13, and multiply it by  4. Then minus 11 from that number. Then take that end number and add it to the beginning number(maggies age) and you should get 54.

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13*4 = 52                           (Maggies Age) x 4

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