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kap26 [50]
3 years ago
9

Please answer ASAP!!

Mathematics
1 answer:
belka [17]3 years ago
4 0

Answer:

3. It is likely.

Step-by-step explanation:

Let's assume the dartboards circles have radius of r, 2r, 3r and 4r from inner side

<u>Then the areas covered will be as:</u>

  • point 20 = πr² = S
  • point 15 = π(2r)² - πr² = 3πr² = 3S
  • point 1 0 = π(3r)² - π(2r)² = 5πr² = 5S
  • point 5 = π(4r)² - π(3r)² = 7πr² = 7S

Total area of the dartboard is S+3S+5S+7S = 16S

The area of point 5 is 7S. And the area of non- 5 point is 16S - 7S = 9S

The probability of scoring at least 10 points is:

  • 9S/16S = 0.5625

As it is between 1/2 and 1, the probability is in 'likely' region

<u>So the correct answer choice is:</u> 3. It is likely

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As you know, the commutative and associative properties of multiplication let you rearrange the order of the product to any convenient form. Here it is convenient to group the mantissas together and the powers of 10 together.

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<em>Additional comments</em>

This is a product your scientific or graphing calculator can produce for you. Likely it will display the result in scientific notation because it won't have enough display digits to show you the product any other way. For smaller numbers, you can set the display mode to give you scientific notation.

If you choose to use a spreadsheet to perform this calculation, the numbers would be entered as 1.2e19 and 5.88e12. The result will be something like 7.056e31. You may have to format the display to show 3 decimal places.

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