Answer:
x = -2
Step-by-step explanation:
2(x - 5) - 5x = -4
Distrubute the 2 into the parentheses
2x - 10 - 5x = -4
Add 10
+10 +10
2x - 5x = 6
Simplify
-3x = 6
Divide
÷ -3 ÷ -3
x = -2
Answer:
And for this case we want to find this probability:

And we can use the probability mass function and we got:
Step-by-step explanation:
Previous concepts
A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Solution to the problem
Let X the random variable of interest, on this case we now that:
And for this case we want to find this probability:

And we can use the probability mass function and we got:
Answer:
a. Total cost of the principal = $217,411.20
b. Interest for the mortgage loan = $104,911.20
Step-by-step explanation:
Total cost of the principal = Monthly payment * Number of years * Number of months in a year = $603.92 * 30 * 12 = $217,411.20
Total cost of the principal of the loan includes the mortgage loan amount and the interest for the mortgage loan. Therefore, the interest for the mortgage loan can be calculated as follows:
Interest for the mortgage loan = Total cost of the principal - Mortgage loan amount = $217,411.20 - $112,500 = $104,911.20
12'6"=12 feets and 6 inches
1 inch=0.0833 feet
6 inches=6×0.0833=0.4998 feet
Volume = π × r^2 × h
= π × 15^2 × 12×0.4998
=4,239.4536223133
=4,239 cubic feets