Solve the equation: .2x(.7x-5)+0.2=1.4(x-1.6)
2 answers:
9514 1404 393
Answer:
x = 8/7
Step-by-step explanation:
.2(.7x-5)+0.2=1.4(x-1.6) . . . . given
Eliminating parentheses, we have ...
0.14x -1 +0.2 = 1.4x -2.24
1.44 = 1.26x . . . . . . . add 2.24-0.14x to both sides
x = 1.44/1.26 . . . . . . divide by the coefficient of x
x = 8/7 . . . . . . . . . . .simplify the fraction
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As a repeating decimal, the value of x is ...
However, the notation 1.(142857) is usually reserved for the case where the contents of parentheses are being multiplied by the factor in front. You would need to consult your instructions to see how the decimal version of the answer should be entered. (Quite often, rounding is suggested.)
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<em>Additional comment</em>
The equation in the text of your question is different from the one in the picture. We have answered for the one in the picture. The text asks for the solution of a quadratic. Those two solutions are approximately 1.085 and 16.057.
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Answer: 0.6521
Step-by-step explanation:
According to the Binomial distribution , the provability of getting x successes in n trials is given by :-
, where p=probability of getting success in each trial.
Let x denotes the number of defective products.
here , n=7 and p =0.14
Then, the probability that among 7 randomly selected products, at least one of them is defective= P(X ≥ 1) =1- P(X<1)
= 1- P(X=0)
Hence, the probability that among 7 randomly selected products, at least one of them is defective is 0.6521 .