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2 years ago

The probability of a certain event occurring is 0.27. What is the probability that the event will NOT occur?

Mathematics

2 answers:

gulaghasi [49]2 years ago

8 0

<span>The probability of the event that will not occur is 0.73.

</span>

Yakvenalex [24]2 years ago

3 0

Answer:

Option A - 0.73

Step-by-step explanation:

Given : The probability of a certain event occurring is 0.27 →P(A)=0.27

To find : The probability that the event will NOT occur → $P(A^c)$

Solution: Since we know the sum of probability is 1

According to rule of complement → $P(A^c) + P(A) = 1$

P(A)= 0.27 , put value we get

$P(A^c) + 0.27 = 1$

$\rightarrow P(A^c)= 1-0.27$

$\rightarrow P(A^c)=0.73$

Therefore, option A is correct

Probability that the event will not occur= 0.73

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miss Akunina [59]

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Step-by-step explanation:

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3 years ago

In Triangle XYZ, measure of angle X = 49° , XY = 18°, and

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Answer:

There are two choices for angle Y: $Y \approx 54.987^{\circ}$ for $XZ \approx 15.193$ , $Y \approx 27.008^{\circ}$ for $XZ \approx 8.424$ .

Step-by-step explanation:

There are mistakes in the statement, correct form is now described:

<em>In triangle XYZ, measure of angle X = 49°, XY = 18 and YZ = 14. Find the measure of angle Y:</em>

The line segment XY is opposite to angle Z and the line segment YZ is opposite to angle X. We can determine the length of the line segment XZ by the Law of Cosine:

$YZ^{2} = XZ^{2} + XY^{2} -2\cdot XY\cdot XZ \cdot \cos X$ (1)

If we know that $X = 49^{\circ}$ , $XY = 18$ and $YZ = 14$ , then we have the following second order polynomial:

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$XZ^{2}-23.618\cdot XZ +128 = 0$ (2)

By the Quadratic Formula we have the following result:

$XZ \approx 15.193\,\lor\,XZ \approx 8.424$

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$XZ^{2} = XY^{2} + YZ^{2} - 2\cdot XY \cdot YZ \cdot \cos Y$

$\cos Y = \frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ}$

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$Y \approx 54.987^{\circ}$

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