The mean volume for a bottle of cologne is 4 ounces and the standard deviation is 0.22 ounces. A random sample of 121 bottles is taken. What is the probability of obtaining a sample mean within 0.05 ounces of the population mean?

The probability is

Step-by-step explanation:

From the question we are told that

   The population mean is  

    The standard deviation is  

    The sample size is  n =  121

Generally the standard error of mean is mathematically represented as

=>      

=>      

The upper limit of the interval within which the sample is consider be found in is

=>      

=>      

The lower limit of the interval within which the sample is consider be found in is

=>      

=>    

Generally the probability of obtaining a sample mean within 0.05 ounces of the population mean is mathematically represented as

=>  

=>  

=>  

From the z table  the area under the normal curve to the left corresponding to  2.5 and  -2.5  is

=>    

So

=>  

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

teleportation

step-by-step explanation: