There are 18 girls and 12 boys in class. What is the probability that a new kid in senior class will be a boy?

1 answer:

5 0

There are 18 + 12 total students.

18 are girls and 12 are boys, since the total is 30 students, that's the amount of probable outcomes, and since there are 12 boys, that's the amount of favorable outcomes, thus

12/30 or 0.4, 0.4 * 100 is 40%.

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A boat leaves a dock and travels 9 miles due north and 12 miles due west. Find how far the boat is from the dock. Type the corre

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15 miles

Step-by-step explanation:

Let's say the dock is at the origin on a coordinate plane and each unit is 1 mile. If the boat travels 9 mile due north, that means that we move up from the origin (0, 0) 9 units to point A (0, 9). Now, this boat moves 12 miles due west, so we will go 12 units to the left of (0, 9) to point B (-12, 9). See the attached drawing (sorry for the crudeness).

Notice that this is a right triangle with legs of 9 and 12. That means the distance from the boat to the dock is just the hypotenuse, so use the Pythagorean Theorem: distance = $\sqrt{9^2+12^2} =\sqrt{81+144} =\sqrt{225} =15$