∑ from 1 to infinity of 12(3/5)^(i - 1)
Since the common ratio is less than 1, the series is convegent. [i.e. 3/5 < 1]
Sum to infinity of a geometric series is given by a/(1 - r); where a is the first term, and r is the common ratio.
Sum = 12/(1 - 3/5) = 12/(2/5) = 30.
| x - 8| = 3
x - 8 = 3 - (x - 8) = 3
x = 3 + 8 -x + 8 = 3
x = 11 -x = 3 - 8
-x = - 5
x = 5
Minimum : 5% Maximum : 11% if u need them added it is 16%
Answer:
The value that is greater than 45% of the data values is approximately 137.84.
Step-by-step explanation:
The key is transforming values from this distribution to a z-score range and finding the corresponding value using a z-score table.
We are looking for a value x which attains a critical z-score that corresponds to the (100-45)%=55-th percentile:

The critical z value (from z-score table, online) is: -0.12, so:

The value that is greater than 45% of the data values is approximately 137.84.
Answer:
The amount of soup the can will hold is;
50π inches cubed = 157.08 inches cubed
Step-by-step explanation:
The amount of soup the can will hold is equal to the volume of the can.
Volume of the can = base area × height
Given;
Base Area = 5π inches squared
height = 10 inches
Volume of can = 5π × 10 = 50π inches cubed
The amount of soup the can will hold is;
50π inches cubed = 157.08 inches cubed
Answer:
Mr. Smith collects $5748 from selling the can.
Step-by-step explanation:
Given total number of cans = 
Selling price of one can = $15.

Now remaining number of cans = total number of cans - sold number of cans =
For remaining number of cans he gives a discount of 20% each,
∴ Selling price of one can = 
∴ Selling price of 54 cans = 
So total money he earns =
.
Thus Mr. Smith earns $5748 by selling the cans.