1: (pi)5^2 = 78.54 then multiply that by 11 and you get 863.94
2: (pi)13^2= 530.93 then multiply that by 8 and you get 47247.44
3. (pi)18^2= 1017.88 then multiply that by 22 and you get 22393.36
Answer:
Sequence One
Step-by-step explanation:
S = a₁ / (1 − r) is the infinite sum of a geometric series where |r| < 1.
Sequence One: r = 1/5
Sequence Two: r = 2
Sequence Three: not geometric
Sequence Four: r = -3/2
Only Sequence One has |r| < 1.
They are equal because if you make 4/5 into a denominator of 10 it is 8/10
Answer:
P( At least one of the two cards was a heart)=7/16
Step-by-step explanation:
The solution to this question can be found in two ways.
First way: Since total number of heart in a deck are four,
Probability that neither of two cards had a heart is that at both times the card drawn was not a heart, since it is an independent event, thus probability both were not heart=
×
=
Thus, Probability that at least one of the two cards was a heart= 1- P( Neither of two cards had a heart= 1- 
=
Second way:
Probability that first card drawn is a heart and the second one is not a heart=
×
=
Probability that the first card drawn is not a heart and the second one is a heart=
×
=
Probability that both cards drawn are hearts=
×
=
Adding all these probabilities, we have the probability that at least one of the card drawn was heart= 