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iragen [17]
3 years ago
11

For the equations given below, which statement is true? -2x=14. 6x=-42​

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
7 0

Answer:

-2x=14

x = -7

6x = -42

x = -7

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John sells plain cakes for $8 and decorated cakes for $12. On a particular day, John started with a total of 100 cakes, and sold
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x+ y =  96   →     y = 96 - x     (1)

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Subbing (1) into (2), we have that

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Answer:

0.9959 = 99.59% probability that a randomly chosen person of European ancestry does not carry an abnormal CF gene given that he /she tested negative.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Tested negative

Event B: Does not carry an abdornal CF gene.

Probability of a negative test:

10% of 1/25 = 0.04 = 4%

100% of 100 - 4 = 96%. So

P(A) = 0.1*0.04 + 1*0.96 = 0.964

Negative test and not carrying an abdornal gene:

100% of 96%. So

P(A \cap B) = 1*0.96 = 0.96

Compute the probability that a randomly chosen person of European ancestry does not carry an abnormal CF gene given that he /she tested negative.

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.96}{0.964} = 0.9959

0.9959 = 99.59% probability that a randomly chosen person of European ancestry does not carry an abnormal CF gene given that he /she tested negative.

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