Answer:
292,968
Step-by-step explanation:
As we know,
Sum of a geometric sequence (S) =
where,
a = first term of sequence,
r = the constant ratio,
n = number of terms in sequence.
So, according to the question,
a = 3,
r = 5,
n = 8.
by substituting the values in the above formula, we get;
⇒
⇒
The school can expect to raise 1500p for charity.
<u>Explanation:</u>
(a)
The possibility space is solved in the image attached.
(b)
20p for each player
30p for lollipop
Number of people = 120
Charity amount = ?
Out of 12 outcomes, the probability of getting 7 is 3
So, probability of getting 7 for 120 people =
= 30
Money earned from the players = 20p X 120
= 2400p
Cost of 30 lollipops = 30p X 30
= 900p
Money received for charity = 2400p - 900p
= 1500p
Therefore, the school can expect to raise 1500p for charity.
Answer:
7.211
Step-by-step explanation:
-For two points in the complex plane, the distance between the points is the modulus of the of the difference of the two complex numbers.
-Point 2-4i has the coordinates (2,-4)
-Point 6+i has the coordinates (6,1)
#We must find the distance between the two coordinates (2,-4) and (6,1):
Hence, the distance between the two points is 7.211