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The range of the quadratic function is [-1, ∞) after plotting the function on the coordinate plane.
<h3>What is a function?</h3>It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The function is:
f(x) = (x - 4)(x - 2)
The above function is a quadratic function.
The above function can be written as:
f(x) = x² - 6x + 8
From the graph,
The minimum value of graph at x = 3 is y = -1
The range of the function is [-1, ∞)
Thus, the range of the quadratic function is [-1, ∞) after plotting the function on the coordinate plane.
Learn more about the function here:
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Answer:
<h2>See the explanation.</h2>Step-by-step explanation:
3 or less than 3 tires among the 10 tires should be blemished.
There are some possibilities.
1000 tires are blemished, (5000 - 1000) = 4000 tires are not blemished.
From the 5000 tires, 10 tires can be chosen in ways.
Possibility 1: <u>3 tires are blemished.</u>
Total 10 tires can be chosen with 3 blemished tires in ways.
Possibility 2: <u>2 tires are blemished.</u>
Total 10 tires can be chosen with 2 blemished tires in ways.
Possibility 3: <u>1 tires are blemished.</u>
Total 10 tires can be chosen with 1 blemished tires in ways.
Possibility 4: <u>No tires are blemished.</u>
Total 10 tires can be chosen with no blemished tires in ways.
Hence, the required probability is .