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True [87]
3 years ago
5

You entered a contest through your local television station. There is one first prize of a new car! There are 5 second place pri

zes of $1000, and 20 third place prizes of $100. If there are 2000 entries, what is the chance that you will win one of the 2nd place prizes?
Mathematics
2 answers:
Grace [21]3 years ago
8 0

Answer:

\frac{1}{400} or 0.0025 0r 0.25%

Step-by-step explanation:

There are three categories that will get a prize

1) First place = 1 person

2) Second place = 5 persons

3) Third place = 20 persons

A total of 26 people will get prizes.

However, we want to determine your chance to win one of the second place prizes

There are 5 prizes in second place

This means out of a total of 2000 people, you could be among the 5

i.e 5 out of 2000

This is \frac{5}{2000} = \frac{1}{400} = 0.0025

This means you have a chance of 1 out of 400

= 0.25%

Helga [31]3 years ago
8 0
There are 26 people who will get the chance to get first, second, or third place. But, you need to focus on the 5 second place prizes. The chance that you will win a second place prize is 5 to 2000, or, simplified, is a 1 to 400 chance. In a percent, that would be a 0.25% chance that you will win one of the second place prizes. Hope I helped :)
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How do you solve this problem?
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Easy, it says "for ANY positive integer" so just test any positive integer

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and number 9
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3 years ago
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Answer:

  • 150° and 210°
  • 0

Step-by-step explanation:

It is convenient to memorize the trig functions of the "special angles" of 30°, 45°, 60°, as well as the way the signs of trig functions change in the different quadrants. Realizing that the (x, y) coordinates on the unit circle correspond to (cos(θ), sin(θ)) can make it somewhat easier.

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<h3>20.</h3>

You have memorized that cos(x) = (√3)/2 is true for x = 30°. That is the reference angle for the 2nd-quadrant angle 180° -30° = 150°, and for the 3rd-quadrant angle 180° +30° = 210°.

Cos(x) is negative in the 2nd and 3rd quadrants, so the angles you're looking for are

 150° and 210°

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<h3>Bonus</h3>

  You have memorized that sin(π/4) = √2/2, and that cos(3π/4) = -√2/2. The sum of these values is ...

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<em>Additional comments</em>

Your calculator can help you with both of these problems.

The coordinates given on the attached unit circle chart are (cos(θ), sin(θ)).

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