The amount of time to complete a physical activity in a PE class is approximately normally normally distributed with a mean of 38.1 seconds and a standard deviation of 7.6 seconds.
a) What is the probability that a randomly chosen student completes the activity in less than 33.9 seconds?
b) What is the probability that a randomly chosen student completes the activity in more than 47.1 seconds?
c) What proportion of students take between 33.8 and 42.9 seconds to complete the activity?
seconds.
d) 70% of all students finish the activity in less than

3201

step-by-step explanation:

because they could drop even lower..

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

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: