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There seems to be a discrepancy, as there cannot be two answers ($29 and $30) to the math problem. On the one hand it is true that the $25 in the register, the $3 returned to the guests, and the $2 kept by the bellhop add up to $30, but on the other hand, the $27 paid by the guests and the $2 kept by the bellhop add up to only $29.
In general, if an increase of x percent is followed by a decrease of x percent, and the initial amount was p, the final amount is p (1 + 0.01 x)(1 − 0.01 x) = p (1 − (0.01 x) 2); hence the net change is an overall decrease by x percent of x percent (the square of the original percent change when expressed as a decimal number).
I mean, the answer is obvious when you think about it, because the so-called "missing dollar" is actually in the $25 kept by the cashier (25/3=24+1=25+2+3=30). I realize that 25/3 is 8.3(3), but the 24+1 was used to demonstrate the "missing" dollar. $30 - $5 = $25, each receives $1, the bellhop keeps $2, still comes out as $30.
The game host then opens one of the other doors, say 3, to reveal a goat and offers to let the player switch from door 1 to door 2. The Monty Hall problem is a brain teaser, in the form of a probability puzzle, based nominally on the American television game show Let's Make a Deal and named after its original host, Monty Hall.
A percentage point or percent point is the unit for the arithmetic difference between two percentages. For example, moving up from 40 percent to 44 percent is an increase of 4 percentage points (although it is a 10-percent increase in the quantity being measured, if the total amount remains the same). [ 1 ]
Because pairs of numbers that are aligned on the logarithmic scales form constant ratios, no matter how the scales are offset, slide rules can be used to generate equivalent fractions that solve proportion and percent problems. For example, setting 7.5 on one scale over 10 on the other scale, the user can see that at the same time 1.5 is over 2 ...
English style guides prescribe writing the percent sign following the number without any space between (e.g. 50%). [sources 1] However, the International System of Units and ISO 31-0 standard prescribe a space between the number and percent sign, [8] [9] [10] in line with the general practice of using a non-breaking space between a numerical value and its corresponding unit of measurement.
(For example, 2 / 5 and 3 / 5 are both read as a number of "fifths".) Exceptions include the denominator 2, which is always read "half" or "halves", the denominator 4, which may be alternatively expressed as "quarter"/"quarters" or as "fourth"/"fourths", and the denominator 100, which may be alternatively expressed as "hundredth ...