Step-by-step explanation:
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Answer:
The Greatest possible value of one of the integer is 140.
Step-by-step explanation:
Given: The average (arithmetic mean) of five different positive integers is 30.
To find: What is the greatest possible value of one of these integers?
Explanation: we are given that the arithmetic mean of five positive integer
is 30.
Let the five positive integers are A,B,C,D,E
The arithmetic mean :
=30.
On multiplying both side by 5.
A+B+C+D+E =150.
The least values of A ,B,C and D can be 1 ,2,3,4.
Then : 1 +2+3+4+E =150
On simplification 10+E =150
On subtraction both side by 10 we get
E = 140 .
Therefore, the Greatest possible value of one of the integer is 140.
The horizontal line has equation . The line is solid, and everything below it is shaded, which translates to the inequality
. (so not B nor D)
The dashed line must have equation . Because it's dashed, the inequality is strict. Pick any point in the shaded region, (0, 0) for instance, and compare both sides of this equation. (0, 0) means both
and
, so on the left side we have 0, and on the right we have -1. 0 > -1, so the inequality must be
.
This means the answer is A.