The heights of adult men in America are normally distributed, with a mean of 69.3 inches and a standard deviation of 2.67 inches. The heights of adult

On average, 3 traffic accidents per month occur at a certain intersection. What is the probability that in any given month at this intersection
(a) exactly 5 accidents will occur?
(b) fewer than 3 accidents will occur?
(c) at least 2 accidents will occur?

The product of 2 decimals is 20.062 one of the factors has 2 decimals .how many decimals in other factors.

Bethany needs to borrow $\$10,000.$ She can borrow the money at $5.5\mathrm{\%}$ simple interest for 4 yr or she can borrow at $5\mathrm{\%}$ with interest compounded continuously for 4 yr.
a) How much total interest would Bethany pay at $5.5\mathrm{\%}$ simple interest?
b) How much total interest would Bethany pay at $5$ interest compounded continuously?
c) Which option results in less total interest?

According to a study by Dr. John McDougall of his live-in weight loss program at St. Helena Hospital, the people who follow his program lose between 6 and 15 pounds a month until they approach trim body weight. Let's suppose that the weight loss is uniformly distributed. We are interested in the weight loss of a randomly selected individual following the program for one month. Give the distribution of X. Enter an exact number as an integer, fraction, or decimal.${\displaystyle f\left(x\right){=}_{}}$ where ${\displaystyle \le X\le .\mu =\sigma =}$. Find the probability that the individual lost more than 8 pounds in a month.Suppose it is known that the individual lost more than 9 pounds in a month. Find the probability that he lost less than 13 pounds in the month.

How do you write the the decimal 8.823 in expanded form?

S(n) properties
Recently, while reading a number theory textbook for Olympiads, i came across the following property:
${\displaystyle S(n_1+n_2)\le S\left(n_1\right)+S\left(n_2\right)}$

Let ${\displaystyle \alpha \in [0,9]}$. Is the set of real numbers such that the average of the digits of each of these numbers ${\displaystyle =\alpha }$, countable or uncountable?