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Evgen [1.6K]
3 years ago
6

Marie's watering can is initially filled with 2 litres of water. However, the watering can has a small hole in the base and is l

eaking at a rate of 0.4 litres per minute. A. Write a rule for the volume of water, V litres, in the can after t minutes. B. Using your rule, determine the volume of water that remains after 90 seconds. C. Calculate how long it would take for all the water to leak out. D. If Marie fills the can with 2 litres of water at her kitchen sink, determine the maximum amount of time she can take to get to her garden if she needs at least 600 mL to water her roses.
Mathematics
1 answer:
Westkost [7]3 years ago
6 0

Answer:5

Step-by-step explanation:

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A quality control expert at Glotech computers wants to test their new monitors. The production manager claims they have a mean l
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Answer:

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

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Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the mean of the Population = 95

Given that the standard deviation of the Population = 5

Let 'X' be the random variable in a normal distribution

Let X⁻ = 96.3

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<u><em>Step(ii):-</em></u>

<u><em>The Empirical rule</em></u>

         Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }

        Z = \frac{96.3 - 95}{\frac{5}{\sqrt{84} } }

       Z = 2.383

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

    P(X⁻ ≥ 96.3) = P(Z≥2.383)

                      =  1- P( Z<2.383)

                      =  1-( 0.5 -+A(2.38))

                      = 0.5 - A(2.38)

                     = 0.5 -0.4913

                    = 0.0087

<u><em>Final answer:-</em></u>

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

P(X⁻ ≥ 96.3) = 0.0087

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