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Archy [21]
2 years ago
8

Choose the definition for the function.

Mathematics
1 answer:
kotegsom [21]2 years ago
7 0

The definition of the piecewise function in this problem is given by:

a.

  • y = x + 1, x ≤ 2.
  • y = x + 1, x > 2.

<h3>What is a piecewise function?</h3>

A piecewise function is a function that has different definitions, depending on the input.

For x until x = 2, we have a <u>linear function with an intercept of 1 and slope of 1</u>, hence the definition is:

y = x + 1, x ≤ 2.

After x = 2, the function is shifted up one unit, hence:

y = x + 1 + 1, x > 2

y = x + 2, x > 2.

Hence option A is correct.

More can be learned about piecewise functions at brainly.com/question/27262465

#SPJ1

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Answer:

c) 75

Step-by-step explanation:

180-155 = 25

80+25+x=180

x = 75

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Step-by-step explanation:

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What is the value of c?
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3 years ago
Find the probability of each event.
jeka57 [31]

Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • The coin is fair, hence p = 0.5.
  • The coin is tossed 10 times, hence n = 10.

The probability that is lands tails up at least nine times is given by:

P(X \geq 9) = P(X = 9) + P(X = 10)

In which:

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

P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098

P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001

Hence:

P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108

0.0108 = 1.08% probability of the coin landing tails up at least nine times.

More can be learned about the binomial distribution at brainly.com/question/24863377

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5 0
2 years ago
Find the unit rate. 21 3/4 meters in 2 1/2 hours
anyanavicka [17]
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