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marshall27 [118]
2 years ago
11

David uses 1/4 cups of apple juice for every 1/2 cup of carrot juice to make a fruit drink. Enter the number of cups of apple ju

ice david uses for 1 cup of carrot juice.
Mathematics
1 answer:
ivanzaharov [21]2 years ago
7 0

Answer:

1/2 cups of apple juice David used for 1 cup of carrot juice

Step-by-step explanation:

David uses 1/4 cups of apple juice for every 1/2 cup of carrot juice to make a fruit drink.

Two 1/2 cups of carrot juice makes 1 cup of carrot juice

because \frac{1}{2}  + \frac{1}{2} = \frac{2}{2} =1

For each 1/2 cups of carrot juice David used 1/4 cups of apple juice

For 1 cup of carrot juice , two 1/2 cups of carrot juice used

so two 1/4 cups of apple juice should be used for 1 cup of carrot juice

\frac{1}{4}  + \frac{1}{4} = \frac{2}{4} =\frac{1}{2}

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Answer:

(a) The probability is 0.6514

(b) The probability is 0.7769

Step-by-step explanation:

If the number of accidents occur according to a poisson process, the probability that x accidents occurs on a given day is:

P(x)=\frac{e^{-at}*(at)^{x} }{x!}

Where a is the mean number of accidents per day and t is the number of days.

So, for part (a), a is equal to 3/7 and t is equal to 1 day, because there is a rate of 3 accidents every 7 days.

Then, the probability that a given day has no accidents is calculated as:

P(x)=\frac{e^{-3/7}*(3/7)^{x}}{x!}

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On the other hand the probability that February has at least one accident with a personal injury is calculated as:

P(x≥1)=1 - P(0)

Where P(0) is calculated as:

P(x)=\frac{e^{-at}*(at)^{x} }{x!}

Where a is equivalent to (3/7)(1/8) because that is the mean number of accidents with personal injury per day, and t is equal to 28 because 4 weeks has 28 days, so:

P(x)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{x}}{x!}

P(0)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{0}}{0!}=0.2231

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Step-by-step explanation:

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