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tensa zangetsu [6.8K]
3 years ago
7

a town has 2 fire engines operating independently . the probability that a specific engine is available when needed is 0.96. wha

t is the probability that neither is available when needed
Mathematics
1 answer:
tester [92]3 years ago
7 0

Answer:

The probability that neither is available when needed

P(A n B)^{c} = 0.04  

Step-by-step explanation:

A town has 2 fire engines operating independently

Given data  the probability that a specific engine is available when needed is 0.96.

Let A and B are the two events of two fire engines

given  P(A and B) = 0.96 ( given two engines are independent events so you have to select A and B)

Independent events : P( A n B) = P(A) P(B)

The probability that neither is available when needed

P(A n B)^{c} = 1- P(A n B)

P(A n B)^{c} = 1- 0.96 = 0.04

                                     

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Write the general term through the pattern a_{n} = 36( \frac{3}{4} )^{n-1}

Substitute and calculate a_{10} = \frac{177147}{65536}

Learn more about arithmetic progression (AP)

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ad-work [718]

Answer:

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Step-by-step explanation:

Let's create two equations representing the cost of bags of lettuce:

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If x = 60

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Now that both equations are equivalent, all we need to do to tip the balance and make Val's Veggies cheaper is purchase one more bag of lettuce:

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Since V represents the price of a bag of lettuce at Val's Veggies and V is now less than S (Sally's Salads), Val's Veggies is now the cheaper option.

Therefore, 61 bags of lettuce must be purchased in order for Val's Veggies to be the cheaper option.

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