Answer:
1. |r| = 1/4. or 0.25
2. Since r < 1, the geometric series is convergent.
3. To obtain the sum, we consider the formula of obtaining the sum to infinity of a geometrical series;
S = a /(1 - r)
where a = 2 ( first term)
r = 0.25 ( common ratio)
Therefore:
S = 2 /( 1 - 0.25)
= 2 / 0.75
= 8/3 or 2.6667
Hence, the sum is 8/3
From the given, there are 14 yellow marbles. 154 are of different colors other and are not yellow. When we speak of "odds in favor", we divide the number of ways a certain event can occur by the number of ways it cannot occur. Mathematically, this can be,
odds = 14 / 154
Simplifying,
odds = 2/11
The answer to this item is first choice.
Answer:
Step-by-step explanation:
area of trapezium ABCD
=(16.5+12)/2 \times 15
=(28.5)/2 \times 15
=213.75 cm^2
Area of PQRS
=213.75 \times (\frac{2}{3} )^2\\=213.75 \times\frac{4}{9} \\=95 ~cm^2
area of green portion=213.75-95=118.75 cm²
Answer:
E. 4/6 = 18/x
Step-by-step explanation:
if 4 hours require 6 logs
then 18 hours require (x)logs
⇒4/6 = 18/x
answer is 4/6 = 18/x