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3 years ago

15

14. Cookies call for 2.25 cups of flour for every .75 cups of brown sugar. How much sugar would be needed for a batch using 5 cu

ps of flour?

1 answer:

Arte-miy333 [17]3 years ago

8 0

Answer:

i think it would be 12.4 sugar needed for a batch

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aleksandrvk [35]

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0.967 = 96.7% probability the rock sample actually contains raritanium

Step-by-step explanation:

Conditional Probability

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

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

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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: Positive reading

Event B: Contains raritanium

Probability of a positive reading:

98% of 13%(positive when there is raritanium).

0.5% of 100-13 = 87%(false positive, positive when there is no raritanium). So

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Positive when there is raritanium:

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$P(A) = 0.98*0.13 = 0.1274$

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$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1274}{0.13175} = 0.967$

0.967 = 96.7% probability the rock sample actually contains raritanium

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