Answer:
1094.4
Step-by-step explanation:
assuming you want volume
Answer:
Step-by-step explanation:
Yes the math is correct. But the A part asks for the interest. The interest is 795.96 and that is what her account is worth. She thinks the interest is 3795.96, but it's not. She's added the bare principle in a second time.
Account amount = 3795.96
Interest = 795.96
Y = 5 - 3x....so sub in 5 - 3x for y in the other equation
5x - 4y = -3
5x - 4(5 - 3x) = -3.....distribute the -4 thru the parenthesis
5x - 20 + 12x = -3...add 20 to both sides
5x + 12x = -3 + 20...combine like terms
17x = 17...divide both sides by 17
x = 17/17
x = 1
now sub 1 in for x into either of the original equations to find y
y = 5 - 3x
y = 5 - 3(1)
y = 5 - 3
y = 2
check...
5x - 4y = -3
5(1) - 4(2) = -3
5 - 8 = -3
-3 = -3 (correct)
so ur solution is (1,2)
Answer:

And we can find the individual probabilities like this:
And adding 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:
The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by:
Solution to the problem
Let X the random variable of interest, on this case we know that:
And we want this probability:

And we can find the individual probabilities like this:
And adding we got:
