Probability helps us to know the chances of an event occurring. The estimated number of left-handed persons in the school is 89.
<h3>What is Probability?</h3>
Probability helps us to know the chances of an event occurring.

Given the number of girls is 320, the probability that a girl is left-handed is 0.2. Therefore, the number of girls who are left-handed is,
Number of left-handed girls = (320×0.2) = 64
Given the number of boys is 250, the probability that a boy is left-handed is 0.1. Therefore, the number of boys who are left-handed is,
Number of left-handed boys= (250×0.1) = 25
Hence, the estimated number of left-handed persons in the school is 89.
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The vertex is at (2, 5).
To find the vertex, we first find the axis of symmetry; this is given by
x = -b/2a
For our equation, b = -16 and a = 4:
x = -(-16)/2(4) = 16/8 = 2
We substitute this back into our equation:
y = 4(2)² - 16(2) + 21 = 4(4) - 32 + 21 = 5
Therefore the vertex is at (2, 5).