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emmasim [6.3K]
3 years ago
14

Suppose that E and F are two events and that Upper P left parenthesis Upper E and Upper F right parenthesisequals0.1 and Upper P

left parenthesis Upper E right parenthesisequals0.2. What is Upper P left parenthesis F|E right parenthesis​?
Mathematics
1 answer:
strojnjashka [21]3 years ago
4 0

Answer:

P(F/E) = 0.5

Step-by-step explanation:

We have the following information:

P(E∩F)=0.1

P(E)=0.2

Additionally, the probability P(A/B) of event A given Event B is calculated as:

P(A/B) = P(A∩B)/P(B)

Now, we want the probability P(F/E), so it is calculated as:

P(F/E) = P(E∩F)/P(E)

Finally, replacing the values we get:

P(F/E) = 0.1 / 0.2

P(F/E) = 0.5

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How much energy would a 15,000 g block of ice need to absorb in order to
Sergeu [11.5K]

Answer:

The energy a 15,000 g block of ice will absorb in order to melt is 4995 kJ

Step-by-step explanation:

The question relates to the latent heat of fusion of ice, that is the heat absorbed by the solid ice to convert it to liquid water without changing its temperature.

The formula for the energy required to melt the ice is presented as follows;

Energy required = Mass, m × Latent heat of fusion, L_f, of ice

Hence, the mass, m, of the ice = 15,000 g

Latent heat of fusion, L_f, of ice = 333 J/g

Therefore;

Energy required = 15,000 g × 333 J/g = 4995000 J

Hence;

The energy a 15,000 g block of ice will absorb in order to melt = 4995000 J

1000 J = 1 kJ

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Which gives;

The energy a 15,000 g block of ice will absorb in order to melt = 4995 kJ.

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2 years ago
Nancy and Karen went on a trip to the mountain. Nancy started her trip 30 minutes later than Karen. They started from the same p
Katyanochek1 [597]
Distance = (rate)(time)
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since the distances are equal
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1.5r = 50
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