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bearhunter [10]
3 years ago
14

There is a 85% chance that you will go to a Eagles concert given that the weather is good. If there is a 60% chance that the wea

ther is good, what is the chance that you go to the concert and the weather is good?
Mathematics
1 answer:
Gelneren [198K]3 years ago
5 0

Answer:

<u>The probability that you go to the Eagles concert and the weather is good is 51%.</u>

Step-by-step explanation:

1. Let's check the information provided to us to answer the question correctly:

Probability that you will go to a Eagles concert given that the weather is good = 85% = 0.85

Probability that the weather is good = 60% = 0.60

2. What is the probability that  you go to the concert and the weather is good?

For answering the question we will use the following formula for dependent events, given that the weather is good:

Probability that you go to the concert and the weather is good = Probability that you will go to a Eagles concert given that the weather is good  * Probability that the weather is good

Replacing with the real values, we have:

Probability that you go to the concert and the weather is good = 85% * 60%

Probability that you go to the concert and the weather is good = 0.85 * 0.60 = 0.51

<u>The probability that you go to the Eagles concert and the weather is good is 51%.</u>

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Answer:

Therefore, we conclute that the map distance between A and C is 35 m.u..

Step-by-step explanation:

We know that the order of three loci is A B C, and the map distance between A and B is 15 m.u., and the map distance between B and C is 20 m.u. We calculate the map distance between A and C.

Therefore, we get

AC=AB+BC\\\\AC=15+20\\\\AC=35\\

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Which graph best represents the feasibility region for the system shown above? ( pics are in this)
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Consider the system of inequalities

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1. Plot all lines that are determined by equalities (see attached diagram)

\left\{ \begin{array}{l}  y=2 \text{ (red line)} \\  x= 6  \text{ (blue line)}\\  y=3x+2 \text{ (green line)} \\  y= -x+10  \text{ (orange line)}. \end{array}\right.

2. Determine which bounded part of the plane you should select:

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  3. for y\le 3x+2 you can check where the origin is placed. Since 0\le 3\cdot 0+2, the origin belongs to the needed part and you have to take the right part of the coordinate plane that was formed by green line.
  4. for y\le -x+10 you can check where the origin is placed. Since 0\le -1\cdot 0+10, the origin belongs to the needed part and you have to take the bottom part of the coordinate plane that was formed by orange line.

3. According to the previous explanations, the shaded region is as in A diagram.

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4(2) + 2x(2) ≥ 5x + 5

8 + 4x ≥ 5x + 5   (subtract 8 from each side)

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4x ≥ 5x - 3    (subtract 5x from both sides)

4x -5x ≥ - 3

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egoroff_w [7]

Answer:

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Step-by-step explanation:

In the given triangle, measures of two sides are equal. So, measures of angles opposite to them are also equal.

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