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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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3 years ago
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hichkok12 [17]

Answer:

(2,4) is a solution to this system of equations

Step-by-step explanation:

Given system of equation are

y=2x \hfill (1)

y=\frac{-1}{2}x+5\hfill (2)

To find the solution of the given system of equations

To Check that (2,4) is a solution to this system or not

Solving equations (1) and (2)

From equation (1) and y=2x

Now substitute y=2x is equation (2)

2x=\frac{-1}{2}x+5

\frac{-1}{5}x+5-2x=0

5-\frac{x}{2}-2x=0

5-\frac{x+4x}{2}=0

5-\frac{5x}{2}=0

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x=\frac{10}{5}

Substitute x=2 in equation (1)

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3 years ago
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angle C = 78

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the measure of angle A is 102

To find the measure of angle C

let Angle C be x

102 + x = 180 (linear pair)

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x = 78

angle C = 78

angle B = 78 (vertically opposite angles are equal)

angle D = 108 (vertically opposite angles are equal)

8 0
3 years ago
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