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Yanka [14]
3 years ago
10

What is the value of f?

Mathematics
1 answer:
laiz [17]3 years ago
5 0

Answer:

f(1/2) = -2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 8x - 6

f(1/2) is x = 1/2

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                    f(1/2) = 8(1/2) - 6
  2. Multiply:                               f(1/2) = 4 - 6
  3. Subtract:                              f(1/2) = -2
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Step-by-step explanation:

The initial number n gets additional 4 students making the new total number of students to be 32. Therefore, this situation can be represented as

n+4=32

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Since no choices were provided, the equation that can be modified is n+4=32

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BlueSky Air has the best on-time arrival rate with 80% of its flights arriving on time. A test is conducted by randomly selectin
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Answer:

0.211 = 21.1% probability that 2 flights of BlueSky Air arrive late

Step-by-step explanation:

For each flight, there are only two possible outcomes. Either they arrive late, or they do not. The probability of a flight arriving late is independent of any other flight. This means that the binomial probability distribution is used 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.

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This means that 100 - 80 = 20% are late, which means that p = 0.2

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This means that n = 16

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This is P(X = 2).

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