Answer:
a = 2, r = 5
Step-by-step explanation:
Nth term of a GP = a×r^(n-1)
Where 'a' is the first term and 'r' is the common ratio
4th term = a×r^3 = 250
r^3 = 250/a
7th term = a×r^6 = 31250
a×r^6 = 31250
a×(r^3)^2 = 31250
a×(250/a)^2 = 31250
a×(62500/a^2) = 31250
62500/a = 31250
a = 62500/31250 = 2
a = 2
since r^3 = 250/a,
r^3 = 250/2 = 125
r = (125)^(1/3)
r = 5
Answer:
1.36 divided by 0.08 = 17
Step-by-step explanation:
Answer:
2 : 3
Step-by-step explanation:
Given:
The two cylinders are similar. So, their corresponding dimensions must be in proportion.


Therefore, the similarity ratio of the smaller to the larger similar cylinders is 2 : 3.
Answer:
0.33
Step-by-step explanation:
Let A denote an event. The odds of the horse finishing second is 33 to 67.
From the information, the total outcomes of event A is:

Hence, there are 100 total outcomes. The probability of the horse finishing second is calculated as:

Hence, the probability of finishing second is 0.33