Answer:
The standard deviation of the sampling distribution of this sample mean is 0.447 ml.
Step-by-step explanation:
We are given that a bottling company fills bottles with a mean of 500 ml of liquia, with a standard deviation of 2 ml. Quality control randomly samples 20 bottles at a time.
<em />
<em>Let </em><em> = sample mean volume of liquid in bottles</em>
The Sampling distribution of the sample mean also follows normal distribution;
As we know that ; Population mean = = 500 ml
Population Standard deviation = = 2 ml
n = sample of bottles = 20
<u>Now, the mean of sampling distribution is given by;</u>
Sample Mean, = Population mean = 500 ml
<u>And, standard deviation of the sampling distribution of this sample mean is given by;</u>
Standard deviation = = = 0.447 ml
Hence, the standard deviation of the sampling distribution of this sample mean is 0.447 ml.
We have been given a function . We are asked to choose the point from given choices, which is not a solution of given function.
Let us check each given point one by one.
A. (3,9)
Since both sides of function are equal, therefore, point (3,9) is the solution of our given function.
B.
Since both sides of function are equal, therefore, point is the solution of our given function.
C.
Since both sides of function are equal, therefore, point is the solution of our given function.
D.
Since both sides of function are not equal, therefore, point is not a solution of our given function and option D is the correct choice.
Answer:
65.01 ft.
Step-by-step explanation:
My explanation requires you to know the circle formula plus a few other steps. 7.5x5.5 gives you the area of the rectangle. That is simple but the circle requires you to know the radius. If we look at the picture, we can see that there is a quarter of the circle. This means that if we take the radius squared times pi divided by 4 rounded to the nearest hundredth, we will find the answer. If we examine closer, we will notice that the circle is exactly aligning with the rectangle so the radius is 5.5. 5.5 squared is 30.25 and that times pi divided by 4 is 23.7582944 rounded to the nearest hundredth is 23.76. Then we just add the two areas together. If this is incorrect, you might have to use 23.75 instead of 23.76.
S = -2-4r. You can't simplify the expression past that.
36,000. you need to SUBTRACT to find "how many more"