Suppose the heights of seasonal pine saplings are normally distributed. if the population standard deviation is 14 millimeters, what minimum sample size is needed to be 95% confidence that the sample mean is within 4 millimeters of the true population mean?

48

Step-by-step explanation:

As per given , we have

Population standard deviation :

Significance level :

Critical value for 95% confidence interval (refer to z-value table) =

Margin of error :

Formula , we use to find the sample size :

Hence, the required sample size = 48

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'.

180-142=38 for the acute angle next to the entry

90+38=128

180-128=52

a=52

step-by-step explanation: