A survey of students at a particular college showed that 33% of them prefer the American Heritage Dictionary (as opposed to Webster’s or Random House). If 30 students are randomly surveyed, find the probability that exactly 6 of them prefer the American Heritage Dictionary.

5.13 % to the nearest hundredth.

Step-by-step explanation:

This is a Binomial Distribution .

The required probability

= 30C6 (0.33)^6 (0.67)^(30-6)

= 0.051345

24

step-by-step explanation:

if it takes 8 pounds to make 12 divide 12 by 8 and you get 1.5, 1.5 x 16 = 24

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: