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2 years ago

HELPPP FOR BRAINLEST PLEASE

Mathematics

1 answer:

lubasha [3.4K]2 years ago

3 0

Answer:

y = -5x + 6

Step-by-step explanation:

To find the slope of a line you have to use the following formula:

y2 - y1 / x2 - x1

choose any 2 rows for "x" and "y" (it doesn't matter), but "x" and "y" have to come from the same row. (I'll do the third and fourth rows)

x1 = 1

y1 = 1

x2 = 2

y2 = -4

(-4 - 1) / (2 - 1)

-5 / 1

slope (m) = -5

the equation of a line is y = mx + b

m = slope

b = y-intercept

pick any row to plug "x" and "y" into the equation so you can find "b" (I'll choose row three); you already know the slope (m)

1 = -5(1) + b

1 = -5 + b

b = 1 + 5

b = 6

plug everything in to the equation y = mx + b

equation: y = -5x + 6

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Answer:

0.3125 = 31.25% probability that it is not ideal.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either it is a girl, or they are not. The probability of a child being a girl is independent of any other child. 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.

0.5 probability of a children being a girl:

This means that $p = 0.5$

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Not ideal is less than two girls, so this is P(X < 2).

Four children means that $n = 4$ . So

$P(X < 2) = P(X = 0) + P(X = 1)$

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

$P(X = 0) = C_{4,0}.(0.5)^{0}.(0.5)^{4} = 0.0625$

$P(X = 1) = C_{4,1}.(0.5)^{1}.(0.5)^{3} = 0.25$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.0625 + 0.25 = 0.3125$

0.3125 = 31.25% probability that it is not ideal.

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