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damaskus [11]
3 years ago
10

What is the point slope from of a line that has a slope of -4 and passes through (-3, 1)

Mathematics
1 answer:
kirill [66]3 years ago
8 0

Answer:

y-1= -4(x+3)

Step-by-step explanation:

When finding point slope form, this is the format: y-y1=m(x-x1). First, plug in your coordinate to the equation. It should look like this: y-1=m(x+3). However, one thing you should know is if the coordinate is a negative, it becomes a positive in point slope form. Next, plug in the slope to the equation. This is your final answer: y-1= -4(x+3). Hope this helped!

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Using the binomial distribution, it is found that there is a 0.125 = 12.5% probability of observing exactly 3 tails.

<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.
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In this problem, considering 3 tosses of a fair coin, the parameters are n = 3 and p = 0.5.

The probability of 3 tails is P(X = 3), hence:

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

P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125

0.125 = 12.5% probability of observing exactly 3 tails.

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

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