there are 104 red candies in a candy machine. this represents 26% of the candy in the machine. how many total are in the candy m
1 answer:
There are 400 candies in the machine.
Step-by-step explanation:
Given,
Number of red candies in machine = 104
This represents 26% of the total candies.
Let,
x be the total candies in the machine.
According to statement;
26% of x = 104
Dividing both sides by 0.26
There are 400 candies in the machine.
Keywords: percentage, division
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Dividing this result by 1;
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Using a z-table (http://www.z-table.com), we see that a z-score of 2.81 results in an area under the curve of 0.9975, so we now have
To begin solving this, we will subtract 1 from both sides:
We will now multiply both sides by 2:
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CL = 99.5
When we know the confidence level, we find the z-score by:
Dividing the CL by 100;
Subtracting this result from 1;
Dividing this result by 1;
Subtracting this result by 1.
Algebraically, this looks like:
Using a z-table (http://www.z-table.com), we see that a z-score of 2.81 results in an area under the curve of 0.9975, so we now have
To begin solving this, we will subtract 1 from both sides:
We will now multiply both sides by 2:
Subtract 1 from both sides:
Multiply both sides by 100:
CL = 99.5