Answer:
0.1 * x <= 5
x <= 50
the maximum number of letters he can have engraved is 50.
Answer: 0.5y+6y (expanded), 6.5y (simplified)
Answer:
a= 12
Step-by-step explanation:
(1/4)*a = 3 // - 3
(1/4)*a-3 = 0
1/4*a-3 = 0 // + 3
1/4*a = 3 // : 1/4
a = 3/1/4
a = 12
The number of DVDs that will be checked out for every 100 patrons will be 20.
<h3>How to find that a given condition can be modeled by binomial distribution?</h3>
Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

The probability that out of n trials, there'd be x successes is given by

The expected value of X will be:

The information is given in the table.
The probability of getting DVDs will be

The value of n is 100.
Then the number of DVDs that will be checked out for every 100 patrons will be

Learn more about binomial distribution here:
brainly.com/question/13609688
#SPJ1
Answer:
x = 8 is the answer
Step-by-step explanation:
In order to find the solution of Equations using Cramer's rule
we shall find matrices
D=
=
![D_{1} = \left[\begin{array}{ccc}4&-3\\-16&-2\end{array}\right]](https://tex.z-dn.net/?f=D_%7B1%7D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%26-3%5C%5C-16%26-2%5Cend%7Barray%7D%5Cright%5D)
l D l = Determinant formed by coefficient of variables
Here l D l = 5X(-2) - 1X(-3)= -10+3 = -7
l D1 l = Determinant formed by replacing first column In D by numbers on the right side of the equations
Here l D1 l = 4X(-2)- (-16)X(-3)= -8-48 = -56
here x is given by 
x = 
x = 8