Answer:
11/4
Step-by-step explanation:
<em><u>Step 1: Simplify both sides of the equation.</u></em>
12x+3−1=35
12x+3+−1=35
(12x)+(3+−1)=35(Combine Like Terms)
12x+2=35
12x+2=35
<em><u>Step 2: Subtract 2 from both sides.</u></em>
12x+2−2=35−2
12x=33
<em><u>Step 3: Divide both sides by 12.</u></em>
12x / 12 = 33 / 12x =
11 / 4
Answer:
Step-by-step explanation:
We can equate the expression x^2+4x to f(x) and specify the variable of integration , the integrand and the symbol simply like this ,
Let,
Where the integrand is f(x) , x is the variable of integration , c is the constant of integration , and ∫ is the symbol of integration.
The derivate of what function is x^2 + 4x?
To find that out we integrate the function because Integrating a differentiate is the process of obtaining the original process because Integrals are also called as Anti-derivatives.
So,
This is an indefinite integral which would result in an addition of a constant later on because it does not have limits. The variable of integration is x because there is only one variable present in this expression so naturally the variable of concern is x
so now we solve,
Where K is the constant of the indefinite integral.
Answer:
56.65% probability that more than 3 customers arrive during 15 minutes
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval, which is the same as the variance. The standard deviation is the square root of the variance.
Standard deviation of 2 customers per 15-minutes.
So
What is the probability that more than 3 customers arrive during 15 minutes
Either three or less customers arrive, or more than 3 do. The sum of these probabilities is decimal 1. Mathematically, we have that:
We want P(X > 3). So
In which
56.65% probability that more than 3 customers arrive during 15 minutes
17/35 is the Simplest form.
Answer:
x=-4, y=8/3. (-4, 8/3).
Step-by-step explanation:
4x-9(-2/3x)=-40
4x+18/3x=-40
4x+6x=-40
10x=-40
x=-40/10
x=-4
y=-2/3(-4)
y=8/3