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Greeley [361]
3 years ago
13

The table shows the height of a ball that was dropped from a 380-foot tower. What was the ball's rate of fall during the first 3

seconds?
0s-380ft

1-s-350ft

2s-290ft

3s-200ft
Mathematics
2 answers:
Alex3 years ago
8 0

Answer:

60ft/s

Step-by-step explanation:

To find the rate

rate = f(3) - f(0)

         -------------

         3-0

rate = 200-380

         ---------------

         3-0

rate = -180/3   = -60 ft/s

The negative tells us it is falling

The fall falls 60ft/s

Sever21 [200]3 years ago
4 0

<u>Answer:</u>

The correct answer is 60 feet / second.

<u>Step-by-step explanation:</u>

We are given the height of a ball which is falling from a height of 280 feet for 3 seconds.

We are to find the ball's rate of fall during the first 3 seconds.

For that, we will take the difference between the heights and divide it by the time.

Ball's rate = \frac { 3 8 0 - 2 0 0 } { 3 } = 60 feet / second

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zimovet [89]

Answer:

61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.                

Step-by-step explanation:

Given : We want 95% confidence that the sample mean is within 3 minutes of the population mean, and the population standard deviation is known to be 12 minutes.

To find : How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters?

Solution :

At 95% confidence the z-value is z=1.96

The sample mean is within 3 minutes of the population mean i.e. margin of error is E=3 minutes

The population standard deviation is s=12 minutes

n is the number of sample

The formula of margin of error is given by,

E=\frac{s\times z}{\sqrt{n}}

Substitute the value in the formula,

3=\frac{12\times 1.96}{\sqrt{n}}

3=\frac{23.52}{\sqrt{n}}

\sqrt{n}=\frac{23.52}{3}

\sqrt{n}=7.84

Squaring both side,

n=61.4656

Therefore, 61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.

6 0
3 years ago
Read 2 more answers
A blue jay lives in a nest that is 12 meters high in a tree the blue jay flies 15 meters to get from its nest to a flower on the
Ivan

Answer:

The distance between the base of the tree and the flower is 9m

Step-by-step explanation:

Here, we have to paint a picture.

The flower is on the ground, the height of the tree is 12m.

The distance from the nest to the flower on the floor is 15m

Indisputably, what we have is a right angled triangle, with the height being 12m, the length of the hypotenuse being 15 and we are asked to calculate the adjacent which represents the distance from the base of the tree to the flower

To get this distance, we simply apply the Pythagoras’ theorem which states that the square of the hypotenuse(longest side of the triangle) is equal to the sum of the squares of the other two sides.

Thus mathematically, we know that our hypotenuse is 15m and the height is 12m

The length we are to calculate is the adjacent and it is equal to;

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The length is thus

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Please check attachment for a diagrammatic picture of the triangle

8 0
3 years ago
Find the value of x and y.<br><br><br>I will give brainliest to the best awnser, thank you. ​
frez [133]

Answer:

the value of y and x are 16times(9xdividedby5)

4y= 4times(9xdividedby5)

Step-by-step explanation:

4 0
2 years ago
A bowl has 9 green grapes and 13 grapes. Henry randomly chooses a grape, and eats it, and then choose a another grape What is th
Sunny_sXe [5.5K]

Answer:

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Step-by-step explanation:

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PolarNik [594]
No it does not it would have to be a straight line
3 0
3 years ago
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