Answer:
Step-by-step explanation:
The Fundamental Theorem of Calculus states that:
Where <em>a</em> is some constant.
We can let:
By substitution:
Taking the derivative of both sides results in:
Hence, by the Fundamental Theorem:
A₆ =12
a₇ = ?? = x
a₈ 27
In this case x is the geometric mean & as per the formula
geometric mean of 2 numbers =√(a₆ * a₈) = √(12*27)
& x=18.
Proof:
Find the common ratio between a₇ & a₆ ==> = ( x) / 12
now find the common ration between a₈ & a₇ ===> =27 / (x)
x/12 = 27/x ===> x² = 12*27 ==> x² = 324 & x =√324 = 18
Y=3.5x
Pts are (1,3.5),(2,7),(3,10.5)
First, we need the probability of picking an odd number.
There are 5 cards in total, and 3 odd cards (3, 5, and 7).
That means that the probability that we'll draw an odd card would be .
Then, we have 4 cards left, and 2 even cards (4 and 6), meaning that the probability that we draw an even card will be or .
To find the probability that these would happen in consecutive draws, we just multiply the probabilities together.
or 0.3.
To convert this into a percentage, we multiply the decimal by 100.
.
So the probability of picking an odd number and then picking an even number is 30%.
Hope this helps!