Answer:
Step-by-step explanation:
To find a function's inverse, you first switch the x and y coordinates, and then solve for the new y. The same goes for finding an inverse's function. We have:
We will switch the x and y variables and then solve for the new y:
and
11x = y + 4 so
11x - 4 = y and
11x - 4 = f(x) which is choice C.
Answer:
84.13% of bottles will have volume greater than 994 mL
Step-by-step explanation:
Mean volume = u = 1000
Standard deviation = = 6
We need to find the proportion of bottles with volume greater than 994. So our test value is 994. i.e.
x = 994
Since the data is normally distributed we will use the concept of z-score to find the required proportion. First we convert 994 to its equivalent z-score, then using the z-table we will find the corresponding value of proportion. The formula to calculate the z score is:
Substituting the values, we get:
This means 994 is equivalent to a z score of -1. Now we will find the proportion of z values which are greater than -1 from the z table.
i.e. P(z > -1)
From the z-table this value comes out to be:
P(z >- 1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413
Since, 994 is equivalent to a z score of -1, we can write that proportion of values which will be greater than 994 would be:
P( X > 994 ) = P( z > -1 ) = 0.8413 = 84.13%
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<em> Billy Bob earns $750 for a car that costs $18,750</em>
<h2>
Explanation:</h2>
In order to solve this problem, we need to multiply the percentage of commission by the price of the car so that we can get how much Billy Bob earns. In other words:
So,<em> Billy Bob earns $750 for a car that costs $18,750</em>
<em></em>
<h2>
Learn more:</h2>
Taxes: brainly.com/question/113926
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Answer:
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Step-by-step explanation:
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