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:
17.5%
Step-by-step explanation:
First of all, see this situation as a cumulative binomial distribution. You have isolated trials with a probability of success. This makes it binomial. The wording of the question "what is the probability of at least half..." makes this cumulative.
There are a few ways to calculate this, and I'm not quite sure which way you're familiar with. I'll show the cumbersome way and use wolfram to make the calculation.
First, I'll calculate the probability for 15 success, given 30 trials.
30c15*0.4^15*0.6^15
Since the question asks for the probability of at least 15 success, I'll have to make a calculation for the probability of 16 successes, then 17, and so on. Then I'll have to add all the probabilities together. So, I'll use wolfram for that (see attached)
