The average snow fall in lake hopatcong is normally distributed. the average snowfall equals 56 inches. the average snow fall in lake hopatcong exceeds 59 inches in 15% of the year. what is the standard deviation?

Solution: We are given that average snowfall in lake Hopatcong is normally distributed with mean inches

The average snowfall in lake Hopatcong exceeds 59 inches in 15% of the year.

Therefore, the z score corresponding to less 59 inches is

Using the z-score formula, we have:

rounded to 3 decimal places

Hence the standard deviation is 2.895 inches

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

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: