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3 years ago

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Nate and Laura picked apples. Laura picked 1/2 as many as Nate picked. Together they picked 90 apples. How many did each of them

pick?
Let n stand for the number of apples Nate picked.

Equation:____

How many apples did Nate pick?______

How many apples did Laura pick?______

1 answer:

kotegsom [21]3 years ago

6 0

Answer: Nate picked 60 apples and Laura picked 30. (1/2)x+x=90

Step-by-step explanation:

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Step-by-step explanation:

Since we have given that

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Probability of getting a unfair dice P(E₂) = $\dfrac{1}{2}$

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Probability of getting a 3 for the unfair dice P(A|E₂) = $\dfrac{1}{3}$

So, we need to find the probability that the die he rolled is fair given that the outcome is 3.

So, we will use "Bayes theorem":

$P(E_1|A)=\dfrac{P(E_1)P(A|E_1)}{P(E_1)P(A|E_1)+P(E_2)P(A|E_2)}\\\\(E_1|A)=\dfrac{0.5\times 0.16}{0.5\times 0.16+0.5\times 0.34}\\\\P(E_1|A)=0.83$

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