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Mice21 [21]
3 years ago
14

When concentrations of formaldehyde in the air exceed 33 mu g divided by ft cubed μg/ft3 left parenthesis 1 mu g equals 1 microg

ram equals 10 superscript negative 6 baseline gram right parenthesis comma 1 μg=1 microgram=10−6 gram, a strong odor and irritation to the eyes often occurs. one square foot of hardwood plywood paneling can emit 3365 mu g μg of formaldehyde per day. a 5 ft by 6 ft sheet of paneling is attached to a wall in a room having floor dimensions of 10 ft by 10 ft and height of 6ft?
Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
4 0
Let me reiterate the given. The limit of the concentration of the formaldehyde is 33 μg/ft³. This should be our basis. Now, it is given that each square foot of wood paneling emits 3,365 μg of formaldehyde. Since the wood paneling has dimensions of 5 ft by 6 ft, the area is equal to 30 ft². Therefore, the emitted amount of formaldehyde is:

Emitted formaldehyde = (3,365 μg/ft²)(30 ft²) = 100,950 μg

Next, we determine the volume of the room.
V = 10 ft × 10 ft × 6 ft = 600 ft³

Let's compare the ratio to our basis:
Ratio = 100,950 μg/600 ft³ = 168.25 μg/ft³

Since the limit is just 33 μg/ft³, it exceeded the given limit. Thus, with this condition, there would be strong odor and irritation of the eyes.
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Answer:

-$13.5

Step-by-step explanation:

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If he looses, he has a net gain which is a loss = -$9

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Probability of getting a 3 which is a win is P(X) = 1/6 since there are 6 numbers on the dice and probability of getting any other number is P(X) = 5/6

Thus;

E(X) = Σ(x•P(X)) = (1/6)(36) + (5/6)(-9)

E(X) = (1/6)(36 - (5 × 9))

E(X) = (1/6)(36 - 45)

E(X) = -9/6 = -3/2

E(X) = -3/2

This represents -3/2 of $9 = -(3/2) × 9 = - 27/2 = -$13.5

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2 years ago
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3 years ago
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Step-by-step explanation:

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A dependent variable is a variable (often denoted by y ) whose value depends on that of another.  so it is the variable that changes depending on the numbers beside it.

I hope this helps if not check out Khan academy

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