Answer:
x = 2 and y =
Step-by-step explanation:
y = 2x - 1
y = -x + 5
2x - 1 = -x + 5
2x + x = 5 + 1
3x = 6
x = 6/3
x = 2
y = 2(3)-1
y = 5
Answer:
35
Step-by-step explanation:
They are vertical angles which means angles opposite each other will be equal
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.
So, his down payment was 1500.
He has 3000 to pay off.
Yearly Payment = 350*12 or 4200
Yearly Interest = 3000/Yearly Payment or 71%
I am 100% sure that is right, you sure you didn't make a mistake copying.
Answer:
The scale that Leon used to create the scale drawing is 1:72.
Step-by-step explanation:
Given that Leon created a scale drawing of the school library in his art class, and in the scale drawing, the length of the library is 13 inches while the length of the actual library is 78 feet, to determine which scale did Leon use to create the scale drawing of the school library, the following calculation must be performed:
1 foot = 12 inches
78 feet = 12 x 78 = 936 inches
936/13 = 72
So, the scale that Leon used to create the scale drawing is 1:72.