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trasher [3.6K]
2 years ago
12

The number f of miles a ship is from its destination x hours after starting a voyage is given by f(x) = 80-20x. The number f of

miles a submarine is from its destination x hours after leaving port is shown in the graph below. State the distance and length of time if each voyage. The ship traveled ___ miles in __ hours. The submarine traveled __ miles in __ hours.
Mathematics
1 answer:
valentina_108 [34]2 years ago
3 0

The ship traveled <u>80 miles</u> in <u>4 hours</u> while the submarine traveled <u>75 miles</u> in <u>5 hours</u>.

<h3>How to determine the distance and time traveled?</h3>

Based on the information provided, we can logically deduce that the ship is initially 80 miles away from its destination. Thus, f(x) would be equal to 0, if it traveled 80 miles and 0 miles away from its destination:

f(x) = 80 - 20x

0 = 80 - 20x

20x = 80

x = 80/20

x = 4 hours.

By critically observing the graph (see attachment) for the submarine's voyage, we can logically deduce the following:

  • Distance = 75 miles.
  • Time = 5 hours.

Read more on graphs here: brainly.com/question/13511914

#SPJ1

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nignag [31]

Answer:

a) P(75 < x < 80 ) = 0.2088

b) The probability that  average height of all humans less than 65

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Step-by-step explanation:

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

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Standard deviation of the Population = √18 = 4.242

Let 'x' be the random variable in Normal distribution

a)

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Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{75-72}{4.242} = 0.70721

Given X₂= 80

Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{80-72}{4.242} = 1.885

The probability that  average height of all humans between 75 and 80

P(75 < X < 80 ) = P(0.70721 < Z < 1.885)

                        = | A ( 1.885) - A( 0.70721|

                       = 0.4699 - 0.2611

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P(75 < x < 80 ) = 0.2088

b)

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

Given X₁ = 65

Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{65-72}{4.242} = -1.650

The probability that  average height of all humans less than 65

P( X < 65 ) = P( Z < - 1.650 )

                 = 1 - P( Z > 1.650)

                = 1 - ( 0.5 + A (1.650))

              =  0.5 - A( 1.65)

             = 0.5 - 0.4505

             = 0.0495

The probability that  average height of all humans less than 65

P( X < 65 ) = 0.0495

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