Answer:
This is a convergent geometric series. The sum is 30.
Step-by-step explanation:
In your series, the ratio of terms is 3/5, a value whose magnitude is less than 1. That means the series is convergent. The sum is given by the formula ...
S = a1/(1 -r)
where a1 is the first term (12) and r is the common ratio (3/5). This gives ...
S = 12/(1 -3/5) = 12·5/2 = 30
The series is convergent and has a sum of 30.
Answer:
When you divide a positive number (such as 1,000) by a number greater than 1 (such as 5), the answer must be smaller than the number you started with. The answer must be smaller than 1,000. 2,000 is greater than 1,000, so it cannot be correct. The correct quotient is 1,000/5 = 200.
Answer:
The range of the Morning box plot is the same as the range of the Afternoon box plot.
Step-by-step explanation:
Data provided in the question
Number line = 0 to 16
Morning whiskers range = 3 to 15
Box range = 5 to 12
Line divided = 8
Afternoon whiskers range = 4 to 16
Box range = 8 to 15
Line divided = 14
Based on the above information,
The morning whiskers range difference is
= 12 - 5
= 7
And, the afternoon whiskers range difference is
= 15 - 8
= 7
Therefore the first option is correct
Answer:
-80 percent
Step-by-step explanation:
