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.
It is the first answer bubble
Answer:
(29.13, 30.07)
Step-by-step explanation:
The first step is finding our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, that is between 
and 
, so we use 
.
Now, find M as such:
In which 
is the standard deviation and n is the length of the sample
The lower end of the interval is the sample mean subtracted by M. So it is 29.6 - 0.47 = 29.13 hours.
The upper end of the interval is the sample mean added to M. So it is 29.6 + 0.47 = 30.07 hours
The 90% confidence interval is (29.13 hours, 30.07 hours).
The correct answer is:
(29.13, 30.07)
Answer:
x > - 3
Step-by-step explanation:
x + 2
> - First turn 2 into an fraction since its easier. So it becomes 
x + > -
<u> - </u><u> - </u><u> </u> Do inverse operations, so subtract from both sides.
x > - 
Combine - with - , which gives us -
x > - 3 Since we know that 6 divided by 2 is 3.
This would not allow me to attach an image so I am going to type a visual representation f what the graph would look like below)
<-------------O--------------------------------------------------->
-5 -4 -3 -2 -1 0 1 2 3 4 5
So, the number line would be a solid line rather than dashed (but I was not able to attach an image so I kind of had to improvise). When using ≥ ≤ sings the circle of the point is closed. When using < and > signs, the circle of the point is open. Thus, in this scenario since he sign is >, then the circle of the point is open. The direction of the arrow and ray for this equality is going to the right because the answer is that x is greater than - 3, Therefore any values greater than - 3 are a possibility which is why the arrow goes on indefinitely.
Answer:
2/3
Step-by-step explanation:
To find the reciprocal you first have to turn the mixed number into an improper fraction. (multiply denominator by whole number, then add the numerator, the denominator stays the same)
(1 x 2 )+ 1=3>>numerator | denominator stays the same>>2 | 3/2
Since the reciprocal is the number that you multiply by to get one, you can flip the numerator and denominator to get your reciprocal.
3/2>>2/3 ( the denominator came to the numerator, and the numerator came to the denominator)
2/3 is your reciprocal
To check your work, you can multiply the reciprocal and the regular number, if your answer is 1, then your reciprocal is correct. If your answer is anything else other than one, you may want to rethink your work.
correct reciprocal: 2/5 x 5/2 = 1
incorrect reciprocal: 2/5 x 6/2 = 5/6
