Answer:
<u>Option A) 19 to 25</u>
Step-by-step explanation:
In the last election, 72% of the voters were in favor of a new outlet mall and
28% were against it.
Vanessa creates random samples of the voters using the numbers 1 to 25.
So, There are 25 numbers to represent all the voters
The range of number that could be used to represent the voters who were against the new outlet mall = 28% of 25 numbers = 0.28 * 25 = 7
So, <u>7 numbers only</u> could be used to represent the voters who were against the new outlet mall.
Check the options to find which range has only 7 numbers.
A) 19 to 25 ⇒ 7 numbers
B) 7 to 18 ⇒ 12 numbers
C) 15 to 25 ⇒ 11 numbers
D) 1 to 18 ⇒ 18 numbers
The answer is <u>option A) 19 to 25</u>
The first thief takes (1/2 x + 1) . What remains ? x - (1/2x + 1)
So the 2nd thief takes 2/3 of [ x - (1/2x + 1) ]
What remains ? x - 2/3 [ x - (1/2x + 1) ]
So the 3rd thief takes 2/3 of { x - 2/3 [ x - (1/2x + 1) ] } and he takes 1 more .
What remains ? x - ( 2/3 { x - 2/3 [ x - (1/2x + 1) ] } + 1 )
And that whole ugly thing is equal to ' 1 ', so you can solve it for 'x'..
The whole problem from here on is an exercise in simplifying
an expression with a bunch of 'nested' parentheses in it.
===============================================
This is a lot harder than just solving the problem with logic and
waving your hands in the air. Here's how you would do that:
Start from the end and work backwards:
-- One diamond is left.
-- Before the 3rd thief took 1 more, there were 2.
-- That was 1/3 of what was there before the 3rd man took 2/3.
So he found 6 when he arrived.
-- 6 was 1/3 of what was there before the second thief helped himself.
So there were 18 when the 2nd man arrived.
-- 18 was 1 less than what was there before the first thief took 1 extra.
So he took his 1 extra from 19.
-- 19 was the remaining after the first man took 1/2 of all on the table.
So there were 38 on the table when he arrived.
Thank you for your generous 5 points.
Is there a photo? I know the last option is true but I feel like there should be a photo with this
Answer:
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Step-by-step explanation:
