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3 years ago

A hot air balloon is descending at a rate of 287 feet per minute.

Mathematics

1 answer:

faust18 [17]3 years ago

8 0

Answer:

Please check the explanation.

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the rate of change or slope

b is the y-intercept

A hot air balloon is descending at a rate of 287 feet per minute.

Thus, the rate of change m = -287

The negative sign indicates that a hot air balloon is descending.

Let y be elevation.

Let x be the time (in minutes)

As there is no mentioning of the initial height.

Thus, the y-intercept b = 0

now substituting m = -287 and b = 0

y = mx + b

y = -287x + 0

y = -287x

In order to determine the total change in elevation of the balloon in 4 minutes, we need to substitute x = 4 in the equation y = -287x.

Thus, the total change in elevation of the balloon in 4 minutes will be:

y = -287x

y = -287(4)

y = -1148 feet

The negative sign indicates that that the elevation is decreasing.

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c) P(C) = 0,2055 or P(C) = 20,55 %

Step-by-step explanation:

We will use two concepts in solving this problem.

1.- The probability of an event (A) is for definition:

P(A) = Number of favorable events/ Total number of events FE/TE

2.- If A and B are complementary events ( the sum of them is equal to 1) then:

P(A) = 1 - P(B)

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C ( 24,4) = 24*23*22*21*20! / 4! * 20!

C ( 24,4) = 24*23*22*21/4*3*2

C ( 24,4) = 24*23*22*21/4*3*2 ⇒ C ( 24,4) = 10626

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b) P(B) will be the probability of at least 1 tank contains h-v

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