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s2008m [1.1K]
2 years ago
9

Solve the equation and check your solution. (If an answer does not exist, enter DNE. If all real numbers are solutions, enter RE

ALS.)
2 − 4x = 34
Mathematics
1 answer:
Crazy boy [7]2 years ago
7 0

Answer:

x= -8

Step-by-step explanation:

2-4x=34

-4x=32

x=-8

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1 year ago
Which of the following is a solution of x² + 14x + 112 = 0? If necessary, round to the nearest hundredth.
Readme [11.4K]
To determine the solution of the quadratic equation, use the quadratic formula which states that,
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From the equation, a = 1, b = 14, and c = 112. Substituting these to the quadratic formula,
                               x = <span>((-14  +/- sqrt (14² - 4(1)(12)) / 2(1) = indeterminate
Thus, the equation does not a real number solution. </span>
6 0
3 years ago
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An electronic product contains 48 integrated circuits. The probability that any integrated circuit is defective is 0.01, and the
BigorU [14]

Answer:

0.6173 = 61.73% probability that the product operates.

Step-by-step explanation:

For each integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. The integrated circuits are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

An electronic product contains 48 integrated circuits.

This means that n = 48

The probability that any integrated circuit is defective is 0.01.

This means that p = 0.01

The product operates only if there are no defective integrated circuits. What is the probability that the product operates?

This is P(X = 0). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{48,0}.(0.01)^{0}.(0.99)^{48} = 0.6173

0.6173 = 61.73% probability that the product operates.

5 0
3 years ago
on a map 1 inch equals 25 miles two cites are 5 inches apart on the map what is the actual distance between the cities
jeka57 [31]
1 inch = 25 miles so 5inches x 25 = 125 miles
6 0
3 years ago
in a bag of containing 32 white marbels, 18 blue marbels and 10 red marbels , if it take one randomly , change of getting the bl
Ilia_Sergeevich [38]
18/60 which is equal to 3/10

So you just need to put it into proportions which is blue to total. The total is 60 and there is 18 blue. Then you only need to simplify.
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