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olya-2409 [2.1K]
3 years ago
6

A hiker is lost in the woods. A search team has created a coordinate grid to represent the woods. Each unit on the grid is one s

quare mile. The hiker was last seen at (5, 10) and could have walked 12 miles in any direction since then. Which equation represents the area the hiker could be in?
Mathematics
2 answers:
adelina 88 [10]3 years ago
5 0
Since the hiker can move in any direction, the equation that represent the area in which the hiker could be will be the equation of circle with radius r=12 and center (5,10)
The equation of a circle with radius r and center (h,k) is: 
(h-x) ^{2} +(y-k) ^{2} =r ^{2}
The only thing we have left is replace the values to get:
(x-5) ^{2} +(y-10) ^{2} =12 ^{2}
(x-5) ^{2} +(y-10) ^{2} =144
natka813 [3]3 years ago
3 0

Answer: The circle in the problem takes the form (x-h)^2+ (y-k)^2. The hiker started at the center of the circle (h,k)=(5,10). The radius of the circle = 12. When you plug these values into the equation, you get (x-5)^2+ (y-10)^2=12^2

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If 15 actuators have failed today, what is the probability that a) at least 10 are repairable? b) from 3 to 8 are repairable? c)
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The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.

According to the statement

we have given that If 15 actuators have failed and we have to find the probabilities on some conditions.

we know that the formula of probabilities is

probability = possible outcomes / total outcomes

So,

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at least 10 are repairable = 1 - 10/15

at least 10 are repairable = (15 - 10)/15

at least 10 are repairable = (5)/15

at least 10 are repairable = 1/3

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from 3 to 8 are repairable = 1/5 *8/15

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exactly 5 are repairable = 1/3

These are the probabilities of the given conditions.

So, The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.

Learn more about PROBABILITIES here brainly.com/question/25870256

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