a personal computer manufacturer buys 36% of its chips from japan and the rest from the united states. of the japanese chips, 1.9% are defective, and 1.2% of the american chips are defective.
find the probability that a chip is defective. (round your answer to four decimal

The probability is 0.0145.

Step-by-step explanation:

We first calculate two probabilities:

And then we sum them up.

Given that the probability of finding a defective chip is conditioned by the probabilities of the chips come from, we deduce that we'll have to use the formulae for extraction without replacement:

P(D∪J) = P(J)*P(D/J)

P(D∪A) = P(A)*P(D/A)

We know that

So we can simply calculate

P(D∪J)+P(D∪A) =

P(D∪J)+P(D∪A) =

Therefore the rounded answer to 4 decimals would be 0.0145.

19.side- angle- side

20. angle- side- angle

step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752