A student can see a tower from the closet point of the soccer field at his high school. The edge of the soccer field is about 122 feet from the water tower and the water
tower stands at a height of 53 feet. What is the angle of elevation from the student's
feet? Round to the nearest hundredth.

At age 71.78 86% of the payments of the plan participants will be ceased

Step-by-step explanation:

Let X be the age at which a person dies. We know that X has a normal distribution with mean 68 and standard deviation 3.5. REcall that the expression P(X<=x) means the probability that a person dies before the age x. In order for us to do the calculations, we consider the random variable Z = (X-68)/3.5. The variable Z will be normally distributed with mean 0 and standard deviation 1 (i.e will be a standard normal distribution). Based on that, we would like to calculate the Z value for which we have 86% of the curve on the  left of the value. Using a standard normal distribution table, we can find the  z value corresponding to the 86% of the curve, which is aproximately 1.08. Then, the age we are looking for is 1.08*3.5+68 = 71.78 years