Answer:
623
Step-by-step explanation:
In order to find the probability of both marbles being drawn being the same colour, the probability of each marble being drawn has to first be found and then multiply both probability to find the probability of two orange marble being drawn consecutively.
Now, the probability of drawing an orange marble = ⁴/₉
since a marble has been removed and wasn't replaced then there are now 5 pink + 3 orange marbles (8 marbles in total) in the bag.
∴ the probability of the second marble drawn being orange = ³/₈
⇒ the probability of <span>two orange marbles in a row without the first being replaced = </span>⁴/₉<span> </span>× ³/₈ = ¹/₆
Given:
First 10 term of a geometric series are:

To find:
The expression that represents the sum of the series.
Solution:
The first term of the given geometric series is:

The common ratio of the given geometric series is:




The sum of first n terms of a geometric sequence is:

Where r is the common ratio.
Putting
in the above formula, we get

Therefore, the correct option is C, i.e.,
.
Answer:
45%
Step-by-step explanation:
Simply divide your partial amount (18 in this case) by your total (40), and you then multiply your answer from 18/40= .45 by 100, and you get 45. This is 45%