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kiruha [24]
1 year ago
7

Cathy is three times as old as Katie, but in six years, Cathy will be

Mathematics
1 answer:
PIT_PIT [208]1 year ago
7 0

Answer:

Cathy is 18 Katie is 6

Step-by-step explanation:

mhm

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In a certain assembly plant, three machines B1, B2, and B3, make 30%, 20%, and 50%, respectively. It is known from past experien
diamong [38]

Answer:

The probability that a randomly selected non-defective product is produced by machine B1 is 11.38%.

Step-by-step explanation:

Using Bayes' Theorem

P(A|B) = \frac{P(B|A)P(A)}{P(B)} = \frac{P(B|A)P(A)}{P(B|A)P(A) + P(B|a)P(a)}

where

P(B|A) is probability of event B given event A

P(B|a) is probability of event B not given event A  

and P(A), P(B), and P(a) are the probabilities of events A,B, and event A not happening respectively.

For this problem,

Let P(B1) = Probability of machine B1 = 0.3

P(B2) = Probability of machine B2 = 0.2

P(B3) = Probability of machine B3 = 0.5

Let P(D) = Probability of a defective product

P(N) = Probability of a Non-defective product

P(D|B1) be probability of a defective product produced by machine 1 = 0.3 x 0.01 = 0.003

P(D|B2) be probability of a defective product produced by machine 2 = 0.2 x 0.03 = 0.006

P(D|B3) be probability of a defective product produced by machine 3 = 0.5 x 0.02 = 0.010

Likewise,

P(N|B1) be probability of a non-defective product produced by machine 1 = 1 - P(D|B1) = 1 - 0.003 = 0.997

P(N|B2) be probability of a non-defective product produced by machine 2  = 1 - P(D|B2) = 1 - 0.006 = 0.994

P(N|B3) be probability of a non-defective product produced by machine 3 = 1 - P(D|B3) = 1 - 0.010 = 0.990

For the probability of a finished product produced by machine B1 given it's non-defective; represented by P(B1|N)

P(B1|N) =\frac{P(N|B1)P(B1)}{P(N|B1)P(B1) + P(N|B2)P(B2) + (P(N|B3)P(B3)} = \frac{(0.297)(0.3)}{(0.297)(0.3) + (0.994)(0.2) + (0.990)(0.5)} = 0.1138

Hence the probability that a non-defective product is produced by machine B1 is 11.38%.

4 0
3 years ago
WHAT IS <br> 9x 3/5 IN FRSCTION FORM NEED HELP THASNK you
asambeis [7]

Answer:

27/5 or 5 2/5

Step-by-step explanation:

Assuming you mean 9 x 3/5

The answer would be

27/5

in Decimals, it would be

5.4

and in mixed numbers form it would be

5 2/5

8 0
2 years ago
Answer my question please now :L
LUCKY_DIMON [66]

Answer:kdkejtjejejbf he neendhejrhwh

4 0
2 years ago
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Round 12.96 to 1 decimal point
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12.96 can be rounded to 13 if you're rounding to the nearest tenth and ones digit. If it is the tens digit, 12.96 can be rounded to 10.
8 0
3 years ago
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Is –54 ÷ 6 positive or negative?
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Answer:

Negative

Step-by-step explanation:

  1. –54 ÷ 6 = -9

7 0
3 years ago
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