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Mekhanik [1.2K]
2 years ago
11

Q = cmAT

Physics
1 answer:
castortr0y [4]2 years ago
8 0

Answer: Q=3000 cal

Explanation:

We are given the following formula:

Q=m. c. \Delta T   (1)

Where:

Q=3000 cal is the amount of heat

m=300g  is the mass  of water

c=1 cal/g \°C  is the specific heat of water

\Delta T  is the variation in temperature, which in this case is  \Delta T=30\°C-20\°C=10\°C  

Rewriting equation (1) with the known values at the right side, we will prove the result is 3000 cal:

Q=(300g)(1 cal/g \°C)(10\°C)   (2)

Q=3000 cal   This is the result

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Answer:

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The question illustrates binomial probability and will be solved using the following binomial expansion;

(L + W)^4 = L^4 + 4L^3W + 6L^2W^2 + 4LW^3 + W^4

So:

Solving (a): Winning at least 1

We look at the above and we list out the terms where the powers of W is at least 1; i.e., 1,2,3 and 4

So, we have:

Probability = 4L^3W + 6L^2W^2 + 4LW^3 + W^4

Substitute value for W and L

Probability = 4 * 0.7^3*0.3 + 6*0.7^2*0.3^2 + 4*0.7*0.3^3 + 0.3^4

Probability = 0.7599

<em>Hence, the probability of her winning at least one is 0.7599</em>

Solving (a): Wining exactly 2

We look at the above and we list out the terms where the powers of W is exactly 2

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