The equivalent expression of is
<h3>How to determine the equivalent expression?</h3>
The logarithmic expression is given as:
The law of logarithm states that:
log(a) - log(b) = log(a/b)
This means that the expression can be split as:
Hence, the equivalent expression of is
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Answer:
See below
Step-by-step explanation:
This is a system of equations. That means you are trying to find the point that makes both lines true at the same time.
To do this you have to solve for one variable at a time. Luckily, these equations already have one variable that will cancel. If you add 2x and -2x, you get 0. I'm going to line these up like a vertical math problem to show you how it works.
-2x + 3y = 12
2x +3y = 0 Add together
-------------------
0x + 6y = 12 Simplify by removing the 0x
6y =12 Divide both sides by 6 to solve for y
y = 2
Plug 2 in for y in one of the original equations.
2x + 3(2) = 0
2x + 6 = 0 Subtract 6 from both sides
2x = -6 Divide by 2 to solve for x
x = -3
The point that makes both lines true is (-3,2). This is where the lines intersect.
Answer:
$125
Step-by-step explanation:
Amount taken away for each customer care complaint = 2.50$
Number of complaints received against Brianna in the year = 12
Total amount lost by Brianna due to complaint = 12*2.50 = 30$
Amount of bonus received by Brianna after reduction of complaint loss = 155-30 = 125$
Bonus of Brianna = 125
Answer:
An invoice was paid an average of 20 days after it was received.
Mean =
Standard deviation =
Now we are supposed to find what percent of the invoices were paid within 15 days of receipt i.e.P(x<15)
Formula :
At x = 15
Substitute the values
Refer the z table for p value
So, p value = 0.1587
So, 15.87% of the invoices were paid within 15 days of receipt
Step-by-step explanation:
Answer:
The correct answer would be:
a) 0.1963
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, "number of people who complete the program" on this case we now that:
And we want to find this probability:
Using the probability mass function we got:
The correct answer would be:
a) 0.1963