Answer:
(-1, 3)
Step-by-step explanation:
to solve using substitution, you have to know the value of either x or y. in this example, they gave you the value of y already: y=x+4.
this means you can substitute the y for (x+4). if we substitute y for (x+4) in the equation y=-5x-2, we get this:
(x+4)=-5x-2
then solve for x
6x=-6
so x=-1
since we know the x value, we can solve for y
y=x+4
y=-1+4
y=3
so the final answer is (-1, 3)
Answer:
See below
Step-by-step explanation:
The square root of a number is defined as
where
gives the original number. For example,
because
and
.
1 feet = 0.3048 m
0.3048 m = 1 feet
1 m = (1/0.3048) feet
1600 m = 1600 * (1/0.3048) ≈ 5249.34
1600 m ≈ 5249.34 feet
Answer:
The probability that a customer will take less than half a minute to complete a transaction is 0.2835.
The probability that a customer will take more than 3 minutes to complete a transaction is 0.1353.
Step-by-step explanation:
Let <em>X</em> = service time of customers at an ATM to complete a transaction.
The average service time is, <em>β</em> = 1.5 minutes.
The random variable <em>X</em> follows an Exponential distribution with parameter <em>λ </em>= 1/<em>β</em>.
The probability density function of <em>X</em> is:

(1)
Compute the probability that a customer will take less than half a minute to complete a transaction as follows:

Thus, the probability that a customer will take less than half a minute to complete a transaction is 0.2835.
(2)
Compute the probability that a customer will take more than 3 minutes to complete a transaction as follows:

Thus, the probability that a customer will take more than 3 minutes to complete a transaction is 0.1353.