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suter [353]
3 years ago
14

An engineering firm is hired to determine if certain waterways in Virginia are safe for fishing. Samples

Mathematics
1 answer:
Natalija [7]3 years ago
6 0

Answer:

(a) S = {FFF, FFN, FNN, FNF, NNN, NNF, NFF, NFN}

(b) S(E) = {FFF, FFN, FNF, NFF}

(c) Second river is safe for fishing

Step-by-step explanation:

F = safe to fish

N = not safe to fish

number of rivers sampled = 3

(a) All of the possible outcomes obtained from the samples are listed in the sample space bellow:

S = {FFF, FFN, FNN, FNF, NNN, NNF, NFF, NFN}

(b) If at least two rivers are safe, the sample space for E is all of the events with two or three safe rivers:

S(E) = {FFF, FFN, FNF, NFF}

(c) In the set {FFF, NFF, FFN, NFN}, the second lake sample is safe to fish in all of the elements. The event is: second river is safe for fishing.

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Answer:

Step-by-step explanation:

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3 years ago
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alukav5142 [94]

Answer:

The speed of the boat is 5 miles per hours

The speed of the current is 2 miles per hours .

Step-by-step explanation:

Given as :

The distance cover by boat downstream = D = 10.5 miles

The time taken by boat to cover D distance = T = 1.5 hours

The distance cover by boat Upstream = d = 10.5 miles

The time taken by boat to cover d distance = t = 3.5 hours

Let The speed of boat =  x mph

Let The speed of current =  mph

Now, According to question

∵ Speed = \dfrac{Distance}{Time}

<u>For Downstream</u>

x + y = \dfrac{D}{T}

Or, x + y =  \dfrac{10.5}{1.5}

Or, x + y = 7          .......A

<u>For Upstream</u>

x - y = \dfrac{d}{t}

Or, x - y =  \dfrac{10.5}{3.5}

Or, x - y = 3          .......B

Now, Solving eq A and eq B

So, (x + y) + (x - y) = 7 + 3

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Or, 2 x + 0 = 10

∴  x = \dfrac{10}{2}

i.e x = 5 mph

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∵ x + y = 7

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Hence, The speed of the boat is 5 miles per hours and The speed of the current is 2 miles per hours . Answer

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eduard
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Θ = 600°

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