X + 2y = 1 ______×1
4x + y = 11 _____ ×2
x + 2y = 1
8x + 2y = 22
8x + 2y = 22
(-)
x + 2y = 1
_____________
7x = 21
x = 3
3 + 2y = 1
2y = 2
y = 1
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Answer:
a) 50.34% probability that the arrival time between customers will be 7 minutes or less.
b) 24.42% probability that the arrival time between customers will be between 3 and 7 minutes
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
In which is the decay parameter.
The probability that x is lower or equal to a is given by:
Which has the following solution:
The probability of finding a value higher than x is:
Mean of 10 minutes:
This means that
A. What is the probability that the arrival time between customers will be 7 minutes or less?
50.34% probability that the arrival time between customers will be 7 minutes or less.
B. What is the probability that the arrival time between customers will be between 3 and 7 minutes?
24.42% probability that the arrival time between customers will be between 3 and 7 minutes
Answer:
1/22
Step-by-step explanation:
assuming that the marbles drawn are not replaced:
P(red) = 3/12 or 1/4
P(green) = 4/11
P(blue) = 5/10 or 1/2
multiply the probabilities together:
1/4 x 4/11 x 1/2 = 1/22
Answer:
Step-by-step explanation:
Mean (Average):
6.42857
Median (Middle):
8
Mode (Most Common):
4,8
Answer: Negative 1 The slope of parallel lines is the same.
The attachment shows two such lines, given coordinates labeled.
Step-by-step explanation:
Find the slope of the line passing through the given points.
rise/run
Rise is the difference in y-values 7-(-5) = 12
Run is the difference between x-values -5 - 7 = - 12
The Slope is 12/-12 simplify:
slope = -1