Let us assume the number of cars parked after which John will start earning more than his fixed weekly salary = x
The fixed weekly salary of John = $300
The fee that John gets for parking each car = $5
Then we can get the equation as
5x = 300
x = 300/5
= 60
So from the above deduction we can see that John will earn the equal amount of his weekly pay after he parks 60 cars. Then it becomes obvious that parking car number 61, John will start earning more than what he gets as his fixed weekly salary. I hope you have understood the described method.
Using translation concepts, it is found that his mistake was that he made the shifts on the wrong coordinates, and the new location is at (1,5).
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Initially, researching the problem on the internet, it is found that the market is at position (3,8).
Then, it was shifted 2 units left and 3 units down, hence the new position is given by:
(3 - 2, 8 - 3) = (1,5).
His mistake was that he made the shifts on the wrong coordinates, and the new location is at (1,5).
More can be learned about translation concepts at brainly.com/question/4521517
Answer:
The histogram of the sample incomes will follow the normal curve.
Step-by-step explanation:
According to the Central Limit Theorem if we have an unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.
In this case the researches wants to determine the monthly gross incomes of drivers for a ride sharing company.
He selects a sample of <em>n</em> = 200 drivers and ask them their monthly salary.
As the sample selected is quite large, i.e. <em>n</em> = 200 > 30, the central limit theorem can be applied to approximate the sampling distribution of sample mean by the Normal distribution.
Thus, the histogram of the sample incomes will follow the normal curve.
If you throw a die, this is what you could get:
1, 2, 3, 4, 5 or 6.
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Odd Numbers: 1, 3, 5
Numbers less than Three: 1, 2
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Possibility of getting 1, 2, 3 or 5:
4/6 which translates into 2/3.
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Answer:
2/3
The simplified form would be -4×^2-13x+9