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Monica [59]
3 years ago
13

2. A paper airplane was thrown from the top of a tall building. The height of the paper airplane above the ground can be found u

sing the function f(x) = −1.5x + 69, where x is the time in seconds the airplane has been in the air.
a. Draw the graph of the function

b. How many seconds did it take the paper airplane to reach the ground?

c. Explain your answer.

Mathematics
2 answers:
NikAS [45]3 years ago
6 0

Answer:

It takes 46 seconds for the plane to reach the ground.

Step-by-step explanation:

We are given the following in the question:

The height of the paper airplane above the ground is given by a function:

f(x) = -1.5x + 69

where f(x) is the height above the ground and x is the time in seconds.

a) The attached image shows the graph for the given equation.

As clear from the graph the unction has a y-intercept of 69 and x-intercept of 46.

b) We have to find the time taken by he plane to reach the ground.

The height of plane on ground is 0

Thus, we can write:

0 = -1.5x + 69\\1.5x = 69\\x = \displaystyle\frac{69}{1.5}\\\\x = 46

c) Thus, it takes 46 seconds for the plane to reach the ground from the top of the tall building to reach a height of 0.

alina1380 [7]3 years ago
4 0

Answer:

points of a are

Step-by-step explanation:

y=69 and x= 46

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4 years ago
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 73 minutes and a standard devi
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Answer:

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(d) 0.6464

Step-by-step explanation:

Let <em>X</em> = amount of time that people spend at Grover Hot Springs.

The random variable <em>X</em> is normally distributed with a mean of 73 minutes and a standard deviation of 16 minutes.

(a)

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(b)

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*Use a <em>z</em>-table for the probability.

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(c)

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P(X

*Use a <em>z</em>-table for the probability.

Thus, the probability that a randomly selected person at the hot springs stays less than 45 minutes is 0.0401.

(d)

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*Use a <em>z</em>-table for the probability.

Thus, the probability that a randomly person spends between 60 and 90 minutes at the hot springs is 0.6464

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Answer:

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