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luda_lava [24]
3 years ago
9

If f(x) = x2 – 2x, find: X - f(-3) = [?]

Mathematics
1 answer:
Reptile [31]3 years ago
6 0

Did you mean :

f(x) = x² - 2x, find x = -3

f(-3) = (-3)² - 2(-3)

f(-3) = 9 + 6

f(-3) = 15

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Write an equation in point-slope form of the line through point J(4,1) with slope -4.
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Point slope form
y - y1 = m(x - x1)

Plug in the given
slope = -4
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y - 1 = -4(x - 4)
y - 1 = -4x +16
add 1 to both sides
y = -4x + 17

Hope this helps!
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2 years ago
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Fantom [35]

Using the binomial distribution, it is found that there is a 0.7447 = 74.47% probability that fewer than 7 of them show up.

<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 values of the parameters are given as follows:

p = 0.7, n = 8.

The probability that fewer than 7 of them show up is given by:

[tec]P(X < 7) = 1 - P(X \geq 7)[/tex]

In which:

P(X \geq 7) = P(X = 7) + P(X = 8)

Then:

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

P(X = 7) = C_{8,7}.(0.7)^{7}.(0.3)^{1} = 0.1977

P(X = 8) = C_{8,8}.(0.7)^{8}.(0.3)^{0} = 0.0576

Then:

P(X \geq 7) = P(X = 7) + P(X = 8) = 0.1977 + 0.0576 = 0.2553

[tec]P(X < 7) = 1 - P(X \geq 7) = 1 - 0.2553 = 0.7447[/tex]

0.7447 = 74.47% probability that fewer than 7 of them show up.

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

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EastWind [94]

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