Answer:
$7.76
Step-by-step explanation:
Let x be the amount he was making before the raise.
He had an increase of 3.1% of x added to x which resulted in a new salary of $8.00 per hour.
Mathematically:

x = $7.76
He was making $7.76 before the raise.
Let the two ages be j and m, respectively. Then j+m>32.
Solving for Mary's age, we get m > 32 - j. Because j = m + 2, m > 32 - (m+2).
Continue solving for m: Adding m to both sides of this inequality results in
2m > 32 - 2. Then 2m > 30, and m > 15. Mary's age is greater than 15.
Answer:
0.9999
Step-by-step explanation:
Let X be the random variable that measures the time that a switch will survive.
If X has an exponential distribution with an average life β=44, then the probability that a switch will survive less than n years is given by
So, the probability that a switch fails in the first year is
Now we have 100 of these switches installed in different systems, and let Y be the random variable that measures the the probability that exactly k switches will fail in the first year.
Y can be modeled with a binomial distribution where the probability of “success” (failure of a switch) equals 0.0225 and
where
equals combinations of 100 taken k at a time.
The probability that at most 15 fail during the first year is
Answer: 5y
Step-by-step explanation:
Product means the multiplication of, so taking the product of 5 and y we simply have;
5*y=5y
If the number is between 25 and 35 It would have to be either 28 or 32.