Answer:
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Step-by-step explanation:
By applying the <em>quadratic</em> formula and discriminant of the <em>quadratic</em> formula, we find that the <em>maximum</em> height of the ball is equal to 75.926 meters.
<h3>How to determine the maximum height of the ball</h3>
Herein we have a <em>quadratic</em> equation that models the height of a ball in time and the <em>maximum</em> height represents the vertex of the parabola, hence we must use the <em>quadratic</em> formula for the following expression:
- 4.8 · t² + 19.9 · t + (55.3 - h) = 0
The height of the ball is a maximum when the discriminant is equal to zero:
19.9² - 4 · (- 4.8) · (55.3 - h) = 0
396.01 + 19.2 · (55.3 - h) = 0
19.2 · (55.3 - h) = -396.01
55.3 - h = -20.626
h = 55.3 + 20.626
h = 75.926 m
By applying the <em>quadratic</em> formula and discriminant of the <em>quadratic</em> formula, we find that the <em>maximum</em> height of the ball is equal to 75.926 meters.
To learn more on quadratic equations: brainly.com/question/17177510
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Answer:
<h2>

</h2>
Step-by-step explanation:
<em><u>Given</u></em><em><u> </u></em><em><u> </u></em>

<em><u>Since</u></em><em><u>,</u></em>

<em><u>Hence</u></em><em><u>,</u></em>


Answer:

Step-by-step explanation:
Given

Let p represents the proportion of those who worry about identity theft;

Required
Mean of those who do not worry about identity theft
First, the proportion of those who do not worry, has to be calculated;
Represent this with q
In probability;

Make q the subject of formula

Substitute 

Convert percentage to fraction


Now, the mean can be calculated using:

Where n represents the population


(Approximated)
Average of eight minutes and twenty seconds to travel from the sun to the earth