18x + 24 = 12x +14. Find the value of (x)
2 answers:
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Answer:
5 : 2
Step-by-step explanation:
Given that:
Number of gumdrops = 420
Number of chocolate bars = 280
Total Number of candies = 700
To find:
The ratio of candies to chocolate bars = ?
Solution:
First of all, let us discuss the method to find the ratio of any two quantities.
Suppose, we need to find the ratio of two numbers and
.
Then to find the ratio , we need to divide p by q and represent it in the simplest form
such that a and b can not be divided further.
Here, to find the ratio of candies to chocolate bar:
Here, we can simplify the fraction by dividing the numerator and denominator by 10 first:
Now, let us divide the numerator and denominator by 14:
So, the ratio is <em>5 : 2</em>
Using the Empirical Rule, it is found that:
- a) Approximately 99.7% of the amounts are between $35.26 and $51.88.
- b) Approximately 95% of the amounts are between $38.03 and $49.11.
- c) Approximately 68% of the amounts fall between $40.73 and $46.27.
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The Empirical Rule states that, in a <em>bell-shaped </em>distribution:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
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Item a:
Within <em>3 standard deviations of the mean</em>, thus, approximately 99.7%.
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Item b:
Within 2<em> standard deviations of the mean</em>, thus, approximately 95%.
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Item c:
- 68% is within 1 standard deviation of the mean, so:
Approximately 68% of the amounts fall between $40.73 and $46.27.
A similar problem is given at brainly.com/question/15967965