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pychu [463]
3 years ago
6

a tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an intial speed of 130 feet per second

. What is the maximum height, in feet, the ball will attain? round to the nearest hundredth
Mathematics
1 answer:
Dvinal [7]3 years ago
4 0
For this case, the first thing to do is write the equation of moving the ball.
 We have then:
 h (t) = - 16t ^ 2 + 130t + 2
 Deriving we have:
 h '(t) = - 32t + 130
 We match zero:
 -32t + 130 = 0
 We cleared t:
 t = 130/32
 t = 4.0625 s
 We evaluate the value of t = 4.0625 s in the equation of motion:
 h (4.0625) = - 16 * (4.0625) ^ 2 + 130 * (4.0625) + 2
 h (4.0625) = 266.0625 feet
 Answer:
 
The maximum height, in feet, the ball will attain is:
 
h (4.0625) = 266.0625 feet
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Normal probability distribution

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For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

\mu = 21.1, \sigma = 5.1, n = 50, s = \frac{5.1}{\sqrt{50}} = 0.7212

What is the probability that the mean IQ score of 50 randomly selected people will be more than 23

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