Let S = {1,2,3,4}and ABC = = = {1,2 , 1,3 , 1,4 . } { } { } Assume the outcomes are equiprobable. Are A B and C , , independent events?
b) In a pharmaceutical industry, machines A, B and C manufacture 25, 35 and 40 percent of
the total packaging, respectively. Of their outputs, 5, 4, 2 percent, respectively, are
defective blister packs. A pack is selected at random and found to be defective. What is
the probability that the pack came from machine A? Repeat the same for machine B and

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

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49%

step-by-step explanation:

when you realize that you dont know just realize i just took a test and im so smart

1st integer x

2nd integer x+1

3rd integer x+2

4th integer x+3

x+x+1 +x+2+x+3 =74

combine like terms

4x+6 = 74

subtract 6 from each side

4x = 68

x = 17

the integers are 17,18,19,20