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Oliga [24]
2 years ago
6

Identify the vertex, equation of the axis of symmetry, y-intercept, and zeros of the graph of a quadratic function.

Mathematics
1 answer:
Nat2105 [25]2 years ago
4 0

Answer:

See below ~

Step-by-step explanation:

<u>Details of Graph</u>

  • Vertex = (0, 0)
  • Axis of Symmetry : y-axis
  • Y-intercept : 0
  • Zeros : (0, 0)
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Answer:

0.3891 = 38.91% probability that only one is a second

Step-by-step explanation:

For each globet, there are only two possible outcoes. Either they have cosmetic flaws, or they do not. The probability of a goblet having a cosmetic flaw is independent of other globets. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

17% of its goblets have cosmetic flaws and must be classified as "seconds."

This means that p = 0.17

Among seven randomly selected goblets, how likely is it that only one is a second

This is P(X = 1) when n = 7. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{7,1}.(0.17)^{1}.(0.83)^{6} = 0.3891

0.3891 = 38.91% probability that only one is a second

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WORK:
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