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bogdanovich [222]
3 years ago
12

The next weekend after the camping trip, Lin and Diego each decide to cook a large batch of oatmeal to have breakfasts ready for

the whole week. (Note: The instructions for a large batch say, “Bring 15 cups of water to a boil, and then add 6 cups of oats.”)
Lin decides to cook 5 cups of oats. How many cups of water should she boil?
Mathematics
1 answer:
dlinn [17]3 years ago
4 0
He should boil 12.5 gallons of water for 5 cups of oats.
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Answer:

  12.3 months

Step-by-step explanation:

You want the number of months (m) such that ...

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Taking logarithms:

  log(0.83) = m·log(0.985)

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A pair of fair dice is cast. Let Edenote the event that the number landing uppermost on the first die is a 1 and let Fdenote the
iris [78.8K]

Answer:

They are not independent

Step-by-step explanation:

Given

E = Occurrence of 1 on first die

F = Sum of the uppermost occurrence in both die is 5

Required

Are E and F independent

First, we need to list the sample space of a roll of a die

Event\ 1 = \{1,2,3,4,5,6\}

Next, we list out the sample space of F

Event\ 2 = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,\

6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}

In (1): the sample space of E is:

E = \{1\}

So:

P(E) = \frac{n(E)}{n(Event\ 1)}

P(E) = \frac{1}{6}

In (2): the sample space of F is:

F = \{5,5,5,5\}

So:

P(F) = \frac{n(F)}{n(Event\ 2)}

P(F) =\frac{4}{36}

P(F) =\frac{1}{9}

For E and F to be independent:

P(E\ and\ F) = P(E) * P(F)

Substitute values for P(E) and P(F)

This gives:

P(E\ and\ F) = \frac{1}{6} * \frac{1}{9}

P(E\ and\ F) = \frac{1}{54}

However, the actual value of P(E and F) is 0.

This is so because E = \{1\} and F = \{5,5,5,5\} have 0 common elements:

So:

P(E\ and\ F) = 0

Compare P(E\ and\ F) = \frac{1}{54} and P(E\ and\ F) = 0.

These values are not equal.

Hence: the two events are not independent

6 0
2 years ago
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Answer:

x=0

Step-by-step explanation:

letter B

5 0
2 years ago
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15. The container shown in the figure is filled with a liquid that weighs 50 g. Find its density.
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Answer:

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Step-by-step explanation:

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Then the density is ...

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<em>Comment on the problem</em>

The "liquid" has about the same density as air pressurized to 75 psi.

5 0
2 years ago
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