When a truckload of apples arrives at a packing plant, a random sample of 150 is selected and examined for bruises, discoloration, and other defects.
the whole truckload will be rejected if more than 5% of the sample is unsatisfactory.
suppose that in fact 8% of the apples on the truck do not meet the desired standard.

what's the probability that the shipment will be accepted anyway?
a. 0.0222
b. 0.9778
c. 0.088
d. 0.912

c. 0.088

Step-by-step explanation:

Let p(s) be the proportion of apples defected in the sample. The probability that p(s)<0.05 can be calculated by calculating z statistic of 0.05:

where

z(0.05)=

And P(z<-1.354)≈0.0879

Therefore the probability that  a random sample of 150 among 8% defected apples can be accepted is 0.088.

they will manufacture 8496 cars

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'.