Laboratory tests show that the lives of light bulbs are normally distributed with a mean of 750 hours and a standard deviation of 75 hours. Find the probability that a randomly selected light bulb will last between 825 and 900 hours

P(825 to 900 hours) = 0.4772-0.3413=0.1359

Step-by-step explanation:

We are given that the life-span of the bulbs are normally distributed.

First we need to find the z-values, where

z(x)=(x-mean)/standard deviation

=(x-750)/75

therefore

z(825)=(825-750)/75=1

z(900)=(900-750)/75=2

Now we need to find the probabilities of the given z-values, from a probability table or from software.

P(z=1) = 0.3413

P(z=2)=0.4772

So probability that the life-span falls between 825 and 900 hours would be P(825 to 900 hour) = 0.4772-0.3413=0.1359

the correct answer is 5 6 and 7

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: