Which quadratic function is represented by the graph?
1 answer:
The equation of the quadratic function will be y = 5(x – 7)(x – 5). Then the correct option is B.
<h3>What is a quadratic equation?</h3>The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have
The quadratic function is represented by the graph.
Then the equation of the quadratic function will be
The graph is passing through (7, 0) and (5, 0). Then the equation of the function will be
y = a(x – 7)(x – 5)
Then the vertex of the graph is at (6, -5). Then we have
-5 = a(6 – 7)(6 – 5)
-5 = -a
a = 5
Then the equation will be
y = 5(x – 7)(x – 5)
Then the correct option is B.
More about the quadratic equation link is given below.
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Answer:
Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.
Step-by-step explanation:
Consider the provided information,
Let X is the number of defective bulbs.
Ten light bulbs are randomly selected.
The likelihood that a light bulb is defective is 5%.
Therefore sample size is = n = 10
Probability of a defective bulb = p = 0.05.
Therefore, q = 1 - p = 1 - 0.05 = 0.95
Mean of binomial random variable:
Therefore,
Variance of binomial random variable:
Therefore,
Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.