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andreyandreev [35.5K]
3 years ago
9

The length of the missing side is: ?m

Mathematics
1 answer:
victus00 [196]3 years ago
6 0

Answer:

85 ft

Step-by-step explanation:

for all right triangles, triangles with a 90 degree angle, the sides are equal to a^{2} + b^{2} = c^{2} where c is the hypotenuse, or the longest side.

so... 40^{2} + 75^{2} = c^{2}

7225 = c^{2}

c= 85

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The county hospital is located at the center of a square whose sides are 3 miles wide. If an accident occurs within this square,
Dmitry_Shevchenko [17]

Answer:

3

Step-by-step explanation:

The x-coordinate of the accident is a random variable of uniform distribution with range [-1.5,1.5]. The same can be said for the y-coordinate. However, |x| and |y| are also uniform variables with range [0,1.5], since we still have the same probability on every pair of intervals with the same lenght.

Note that |X| and |Y| are independent with each other, therefore E(|x|+|y|) = E(|x|) + E(|y|) = 2*E(|x|). The last equality holds because both x and y are identically distributed, then so are |x| and |y|.

E(|x|) = \int\limits^{1.5}_0 {\frac{x}{1.5} \, dx = \frac{2}{3}* ((1.5^2)/2 - 0^2/2) = \frac{3}{2}

Therefore, E(|x| + |y|) = 2 * 3/2 = 3.

I hope that works for you!

4 0
3 years ago
An online movie streaming plan charges an annual fee of $48 plus $2 per movie watched. Another plan has no annual dee but charge
GrogVix [38]

Answer:

24 movies

Step-by-step explanation:

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Hope this helps!

3 0
3 years ago
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