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3 years ago

What are the x intercepts of the quadratic function? Y=-x^2+2x-1

Mathematics

1 answer:

saw5 [17]3 years ago

8 0

Answer:

x = 1

Step-by-step explanation:

Given in the question the equation

y = -x² + 2x - 1

To find the x-intercept, substitute in 0 for y

0 = -x² + 2x - 1

To find value of x use quadratic equation

x = -b ± √b²-4ac / 2a

here a = -1

b = 2

c = -1

x1 = -2 + √2²-4(-1)(-1) / 2(-1)

= -2 + 0 / -2

= -2 / -2

= 1

x2 = -2 - √2²-4(-1)(-1) / 2(-1)

= -2 - 0 / -2

= -2 / -2

= 1

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This means that $p = 0.25$

Class of 18 students

This means that $n = 18$

What would be the probability that at least 6 students drive themselves to school?

This is

$P(X \geq 6) = 1 - P(X < 6)$

In which

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

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$P(X = 2) = C_{15,2}.(0.25)^{2}.(0.75)^{16} = 0.096$

$P(X = 3) = C_{15,3}.(0.25)^{3}.(0.75)^{15} = 0.17$

$P(X = 4) = C_{15,4}.(0.25)^{4}.(0.75)^{14} = 0.213$

$P(X = 5) = C_{15,5}.(0.25)^{5}.(0.75)^{13} = 0.199$

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.006 + 0.034 + 0.096 + 0.17 + 0.213 + 0.199 = 0.718$

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Closest option is B, just a small rounding difference.

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2 years ago

I need help, please. PLEASE, I NEED IT FAST.

Amiraneli [1.4K]

Answer:

Hint: x is a negative number.

Step-by-step explanation:

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(Please reply if you still have questions. :) Have a wonderful day)

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