What are the odds of rolling a 6 on a regular six sided die? 2: 03 1: 04 1: 06 1: 05 sophie is choosing an outfit for the day. she has a choice of 4 pairs of pants, 3 shirts, and 4 pairs of shoes. how many different outfit choices does she have? 28 34 40 48 what is the probability of rolling a number less than or equal to 6 on a six sided die? what is the probability of rolling a number less than or equal to 2 on a six sided die? find the number of permutations of the first 8 letters of the alphabet taking 2 letters at a time. 56 336 6720 20,160

Step-by-step explanation:

1)  Odds of rolling a 6 on a regular six side die = 1:05

2) Total choices = multiplication of 3=4x3x4 =48

3) Prob of rolling a number <=6 is =1 (since certain event)

4) P(rolling a number <=2) = P(1 or 2) = 1/3

5) Permutation = 8P2 = 56

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'.