1,348 is 1000 and 2,332 is 2,300
Answer:
y = -3x - 6
Step-by-step explanation:
first, find the slope
(-4, 6)
(1, -9)
remember the equation for the slope

insert given points

((-9) - (6)) / ((1) - (-4))
simplify
( -9 - 6) / (1 + 4)
= -15/ 5
= -3
now insert it into the equation of the line
remember, the equation of the line is
y = mx + b
where "m" is the slope
and "b" is the y-intercept
to find "b", you just have to plug in a point that is found on the line
we know that (-4, 6) and (1. -9) is found on the line, so let's just use (-4, 6) for this problem
y = mx + b
substitute in the slope of this line
y = -3x + b
now substitute in the given points
6 = -3 * -4 + b
and solve it like any algebra problem, by inverse operations and simplifying
6 = 12 + b
-12 -12
-6 = b
so the equation of the line is
y = -3x -6
Answer:
L = 9
Step-by-step explanation:
Assuming you are trying to find L
P = 2L + 2W
P = 32
32 = 2L + 2W
W = 7
32 = 2L + (2 × 7)
32 = 2L + 14
2L = 32 - 14
2L = 18
L = 9
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
Step-by-step explanation:
V = 4/3 π r³
V = 4/3 π (5 m)³
V = 524 m³