Answer:
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A quality control process finds 77.6 defects for every 9,700 units of production. What percent of the production is defective?
1 answer:
The 0.8% of the production is defective if a quality control process finds 77.6 defects for every 9,700 units of production.
<h3>What is the percentage?</h3>It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.
We have:
A quality control process finds 77.6 defects for every 9,700 units of production.
The percent of the production is defective:
= 0.8 %
Thus, the 0.8% of the production is defective if a quality control process finds 77.6 defects for every 9,700 units of production.
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Question 1:
For this case we have an equation of the form:
Where,
- <em>k: inverse variation constant. </em>
Then, substituting values we have:
From here, we clear the value of k.
We have then:
Answer:
the constant of inverse variation is:
Question 2:
For this case we have:
Where,
- <em>k: constant of variation. </em>
Then, substituting the value of the constant we have:
We now substitute the value of x:
Answer:
the value of y when x = 4 is:
Applying the division rule of exponents, 6^10/6^6 can be rewritten in the form of b^n as: 6^10/6^6 = 6^4.
<h3>What is the Division Rule of Exponents?</h3>The division rule of exponents state that if we have a numerator and a denominator with the same base, the quotient will be the base, while we subtract the exponent value of the denominator from the exponent value of the numerator.
For example, if we have, a³/a², the division rule of exponents states that:
a^(3 - 2) = a^1 = a.
Given the expression, 6^10/6^6, we can rewrite the expression in the form of b^n by applying the division rule of exponents as shown below:
6^10/6^6 = 6^(10 - 6)
6^10/6^6 = 6^4
In conclusion, applying the division rule of exponents, 6^10/6^6 can be rewritten in the form of b^n as: 6^10/6^6 = 6^4.
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