Answer:
22/25
Step-by-step explanation:
Well, you just convert the 88% into a fraction as probability is in fractions so 88% = 22/25
Answer:
2/3
Step-by-step explanation:
List all the possible sums. If it helps, make a table:
![\left[\begin{array}{ccccccc} &1&2&3&4&5&6\\1&2&3&4&5&6&7\\2&3&4&5&6&7&8\\3&4&5&6&7&8&9\\4&5&6&7&8&9&10\\5&6&7&8&9&10&11\\6&7&8&9&10&11&12\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccccccc%7D%20%261%262%263%264%265%266%5C%5C1%262%263%264%265%266%267%5C%5C2%263%264%265%266%267%268%5C%5C3%264%265%266%267%268%269%5C%5C4%265%266%267%268%269%2610%5C%5C5%266%267%268%269%2610%2611%5C%5C6%267%268%269%2610%2611%2612%5Cend%7Barray%7D%5Cright%5D)
There are 36 total possible sums. Of those, 18 are even, and 6 are odd but multiples of 3.
Therefore, the probability is:
P = (18 + 6) / 36
P = 24 / 36
P = 2 / 3
Explanation:
We will try to simplify the given expression into terms of ab and then substitute with ab = x as follows:
2a³b + a²b + ab
a² (2ab + ab) + ab
a² (3ab) + ab
a² (3x) + x
Since ab = x, therefore, a = x/b
Substitute with this in the above expression to get:
(x/b)²(3x) + x
+ x
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Answer:
2
Step-by-step explanation:
the mean (average) change in gasoline in gallons per day = (25-11) gallons / 7 days
= 14/7 = 2 gallons per day
<span>y'' + 5y' + 6y = 2e^t is a second order differential equation with solution y = Ae^mt + Be^nt + p(t); where m and n are the roots of the quadratic equation x^2 + 5x + 6 = 0, and p(t) is the particular solution.
x = -2 and x = -3
y = Ae^-2t + Be^-3t + p(t)
For the particular solution, Ke^t + 5Ke^t + 6Ke^t = 2e^t
12K = 2
K = 1/6
Therefore, solution is </span>
<span>y = Ae^-2t + Be^-3t + 1/6 e^t
</span>