Answer:
x = 0, y = -3
Step-by-step explanation:
plug in x as y + 3 into the first equation
6(y+3) - 5y = 15
6y+18 - 5y = 15
y = -3
x= 0
Answer:
0.9999
Step-by-step explanation:
Let X be the random variable that measures the time that a switch will survive.
If X has an exponential distribution with an average life β=44, then the probability that a switch will survive less than n years is given by
So, the probability that a switch fails in the first year is
Now we have 100 of these switches installed in different systems, and let Y be the random variable that measures the the probability that exactly k switches will fail in the first year.
Y can be modeled with a binomial distribution where the probability of “success” (failure of a switch) equals 0.0225 and
where
equals combinations of 100 taken k at a time.
The probability that at most 15 fail during the first year is
Answer:
2 + (-2) = 0
Step-by-step explanation:
Answer:
The answer is
<h2>2⁴ × 3²</h2>
Step-by-step explanation:
To find the GCF of

Find the prime numbers with the lowest exponents and multiply them
From the question the prime numbers with the lowest exponents are
2⁴ and 3²
So the GCF in the question is
2⁴ × 3²
Hope this helps you
Answer:
f
(
x
)
=
3
(
x
−
1
)
2
+
5
Use the vertex form,
y
=
a
(
x
−
h
)
2
+
k
, to determine the values of
a
,
h
, and
k
.
a
=
3
h
=
1
k
=
5
Find the vertex
(
h
,
k
)
.
(
1
,
5
)
image of graph