Step-by-step explanation:
2(x3+5x2−2x2y−10xy)
=(2)(x3+5x2+−2x2y+−10xy)
=(2)(x3)+(2)(5x2)+(2)(−2x2y)+(2)(−10xy)
=2x3+10x2−4x2y−20xy
=2x3−4x2y+10x2−20xy
Answer:
(mn+n²)/(m+n)
Step-by-step explanation:
probability of blue marble= n/(n+m)
probability of red marble= m/(n+m)
probability that process stops = Probability of both blue + probability of both red= n/(n+m) × n/(n+m) + m/(n+m)×m/(n+m)
= (n²+m²)/(n+m)²
P(1st marbel is blue)= P(blue and red) + P(blue and blue)
= mn/(n+m) + n²/(n+m)
= (mn+n²)/(m+n)
P(1st marble is blue | process stops)= ( (mn+n²)/(m+n)× (n²+m²)/(n+m)²)/ ((n²+m²)/(n+m)²)
= (mn+n²)/(m+n)
<h2>Answer :</h2>
- He need 111.75 minutes to cook the meal
- He need to start at 2.08.15 P.M. in order to complete the cooking at 4 P.M.
<h2>Step-by-step explanation :</h2><h3>
Known :</h3>
- George can only cook one thing at a time
- Turkey takes 90 minutes to cook
- Pumpkin pie takes 20 minutes to cook
- Rolls take 60 seconds to cook
- A cup of coffee takes 45 seconds to heat
<h3>Asked :</h3>
- Time needed to cook the meal
- Time he need to start in order to complete the cooking at 4 P.M.
<h3>Completion :</h3>
Let's convert all the seconds to minutes. We know that 60 seconds is equal to one minute. So,
60 seconds = 1 minutes
45 seconds = 45/60 minutes = 0.75 minutes
Time needed = Turkey + Pumpkin pie + Rolls + Coffee
Time needed = 90 + 20 + 1 + 0.75
Time needed = 111.75 minutes
Then, we'll calculate the time he need to start in order to complete the cooking at 4 P.M. First, let's convert the minutes to clock format.
111.75 minutes = 1 hour and 51.75 minutes
111.75 minutes = 1 hour and 51 minutes and 45 seconds
Lastly, calculate the time he need to start in order to complete the cooking at 4 P.M.
4h 0m 0s - 1h 51m 45s = 2h 8m 15s
<h3>Conclusion :</h3>
- He need 111.75 minutes to cook the meal
- He need to start at 2.08.15 P.M. in order to complete the cooking at 4 P.M.
