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damaskus [11]
3 years ago
15

Solve and check x+6=2x-7

Mathematics
1 answer:
ira [324]3 years ago
8 0

x = 13

subtract x from both sides of the equation

6 = 2x - x - 7

6 = x - 7

add 7 to both sides

6 + 7 = x ⇒ x = 13

As a check

substitute this value into the equation and if both sides are equal then it is the solution

left side = 13 + 6 = 19

right side = (2 × 13) - 7 = 26 - 7 = 19

hence x = 13 is the solution


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Answer:

Required probability is 0.784 .

Step-by-step explanation:

We are given that in a large statistics course, 74% of the students passed the first exam, 72% of the students pass the second exam, and 58% of the students passed both exams.

Let Probability that the students passed the first exam = P(F) = 0.74

     Probability that the students passed the second exam = P(S) = 0.72

     Probability that the students passed both exams = P(F \bigcap S) = 0.58

Now, if the student passed the first exam, probability that he passed the second exam is given by the conditional probability of P(S/F) ;

As we know that conditional probability, P(A/B) = \frac{P(A\bigcap B)}{P(B) }

Similarly, P(S/F) = \frac{P(S\bigcap F)}{P(F) } = \frac{P(F\bigcap S)}{P(F) }  {As P(F \bigcap S) is same as P(S \bigcap F) }

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Therefore, probability that he passed the second exam is 0.784 .

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Step-by-step explanation:

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