Answer:
0.0130 m per min. to 4 decimal places.
Step-by-step explanation:
If 2 m^3 of water is added we have volume = 2 = π 7^2 h where h is the height:
h = 2 / (π 7^2) = 0.01299 m.
Answer:
7x - 5 7x - 5
(f/g) = ----------------- = ----------------
2x - 4 2(x - 2)
Step-by-step explanation:
Given f(x) = 7x-5 and g(x)=2x-4, we form the quotient f/g as follows:
7x - 5 7x - 5
(f/g) = ----------------- = ----------------
2x - 4 2(x - 2)
Note that this is not defined for x - 2, due to division by zero.
Answer:
The probability of winning directly is, as you calculated, 8/36, and the probability of losing directly is (1+2+1)/36=4/36.
For the remaining cases, you need to sum over all remaining rolls. Let p be the probability of rolling your initial roll, and q=6/36=1/6 the probability of rolling a 7. Then the probability of rolling your initial roll before rolling a 7 is p/(p+q), and the probability of rolling a 7 before rolling your initial roll is q/(p+q). Thus, taking into account the probability of initially rolling that roll, each roll that doesn't win or lose directly yields a contribution p2/(p+q) to your winning probability.
For p=5/36, that's
(536)25+636=2511⋅36,
and likewise 16/(10⋅36) and 9/(9⋅36) for p=4/36 and p=3/36, respectively. Each of those cases occurs twice (once above 7 and once below), so your overall winning probability is
836+236(2511+1610+99)=244495=12−7990≈12−0.007.
Step-by-step explanation:
Suppose you throw a 4 and let p(4) your winning probability. At your next roll you have a probability 3/36 of winning (you throw a 4), a probability 6/36 of losing (you throw a 7) and a probability 27/36 of repeating the whole process anew (you throw any other number). Then:
p(4)=336+2736p(4),so thatp(4)=13.
Repeat this reasoning for the other outcomes and then compute the total probability of winning as:
ptot=836+336p(4)+436p(5)+…
Answer:
( n-2) 180°
Step-by-step explanation:
a polygon is a flat shape it has same angles and same sides to find the interior we take the formular and divide it by the number of its sides. ( n-2) 180° ÷n
9514 1404 393
Answer:
228 km
Step-by-step explanation:
Traveling 3 hours at 76 km/hour, the train covers a distance of ...
distance = speed × time
distance = (76 km/h)(3 h) = 76×3 km = 228 km
