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Firlakuza [10]
3 years ago
12

Write the equation of the line that passes through (2,3) and (4, 1) in point-slope form. Use (2,3) for (x1, y1).

Mathematics
1 answer:
earnstyle [38]3 years ago
5 0

Answer:

y-2 = -(x-2)

Step-by-step explanation:

To find the slope

m = (y2-y1)/(x2-x1)  where (x1,y1) and (x2,y2) are two points on the line

    = (1-3)/(4-2)

   =-2/2

   =-1

The point slope form is

y-y1 = m(x-x1)  wher m is the slope and (x1,y1) is a point on the line

y-3 = -1(x-2)

y-2 = -(x-2)

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Suppose a bag contains many marbles, 54% of which are purple. You draw 5 marbles from the bag with replacement.
dolphi86 [110]

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Use the binomial probability distribution formula.

p = 0.54 = probability of getting a purple marble

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x = 2 = number of purple we want to get

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The \frac{n!}{x!(n-x)!} portion is from the nCr combination formula. The exclamation marks indicate a factorial.

Alternatively, you could use Pascal's Triangle for that portion.

<h3>Answer: 0.283831776</h3>

This decimal value is exact. Round it however you need to.

============================================================

Part B

To find the expected value, aka the mean, we multiply the sample size and probability of getting a purple marble on any single selection.

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