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emmasim [6.3K]
2 years ago
11

Which of the following is false about the function y=-4

Mathematics
1 answer:
Ronch [10]2 years ago
7 0

Answer:

See possible solutions below.

Step-by-step explanation:

There are no listed statements. However, looking at the function can provide important information:

  • y = -4 is a horizontal line through -4 on the y-axis
  • All inputs have the same output -4 in this function
  • This function has a y-intercept at (0,-4)
  • This function has a slope of 0

False items about this function include:

  • Vertical line
  • All inputs are -4
  • Has on slope or slope is undefined.
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The probability that a certain hockey team will win any given game is 0.3723 based on their 13 year win history of 385 wins out
Whitepunk [10]

Answer:

0.1505 = 15.05% probability that the hockey team wins 6 games in November

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the team wins, or it does not. The probability of winning a game is independent of winning other games. 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.

The probability that a certain hockey team will win any given game is 0.3723

So p = 0.3723

12 games in November

So n = 12

What is the probability that the hockey team wins 6 games in November?

This is P(X = 6)

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

P(X = 6) = C_{12,6}.(0.3723)^{6}.(1-0.3723)^{6} = 0.1505

0.1505 = 15.05% probability that the hockey team wins 6 games in November

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