Hello there! An equation that can be used to find the total cost of the banquet is this:
225 + 50h + 25p = c
This is because "c" represents the total cost of everything, "h" represents hours, and "p" represents people. The $225 paid to rent a hall is a one-time price and does not go up. $50 is paid per hour to the DJ, and $25 is the amount per person for dinner.
Answer:
0.2081 = 20.81% probability that at least one particle arrives in a particular one second period.
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.
Over a long period of time, an average of 14 particles per minute occurs. Assume the arrival of particles at the counter follows a Poisson distribution. Find the probability that at least one particle arrives in a particular one second period.
Each minute has 60 seconds, so 
Either no particle arrives, or at least one does. The sum of the probabilities of these events is decimal 1. So
We want 
. So
In which
0.2081 = 20.81% probability that at least one particle arrives in a particular one second period.
Answer:
The solution to the given system of equations is
(
,
)
Step-by-step explanation:
Given system of equation are
To solve equation by using elimination method
Now subtracting equations (1) and (2)
_________________
5x=-16
Substitute in equation (1)
Therefore the solution is
(,)
Answer:
The table that represents the nonlinear function is the one where the x-values are -7, -5 and 0 and the y-values are -3, 0 and 3.
Step-by-step explanation:
In order for a table to represent a linear function, there needs to be a consistent change in y-values divided by the change in x-values. For example, for any two points on the table when we subtract two y-values and divide by the number we get when we subtract two x-values, this change should be represented throughout the table. So, in the case of the other three tables, when we choose two points from the table, such as (-5, 7) and (-2,6) and put them into an equation (y2-y1/x2-x1) or (6-7)/(-2-(-5)) we would get a change of -1/3. However, when we apply this concept to the table where x-values are -7,-5, and 0, we see that the change is not consistent between points, so the function must be nonlinear.
Answer:
12 and 16
Step-by-step explanation:
The ratio between the groups is 3:4, so the fractions are 3/7 and 4/7.
3/7 (28) = 12
4/7 (28) = 16
Check your answer: 12 + 16 = 28, and 12/16 = 3/4.
