Answer:
X= 4
Step-by-step explanation:
3x+6/3=6
multiply each side by 3 to get rid of the fraction bar
3x+6=6*3
3x +6=18
-6 from both sides
3x= 18-6
3x=12
divide by three on both sides to solve for x
x=12/3
x=4
<h3>Answer: 1981</h3>
===================================
Work Shown:
Recall that P is in thousands, so P = 95 means 95,000.
Plug in P(x) = 95. Solve for x. Use logarithms to get this done.
P(x)=230(0.881)^x
95=230(0.881)^x
95/230 = (0.881)^x
0.41304347826087 = (0.881)^x
(0.881)^x = 0.41304347826087
Log( (0.881)^x )= Log( 0.41304347826087 )
x*Log( 0.881 )= Log( 0.41304347826087 )
x= Log( 0.41304347826087 )/Log( 0.881 )
x= 6.97883817154785
x= 7
Approximately 7 years after 1974 is when the population will be around 95,000.
7 years after 1974 = 1974+7 = 1981
Answer:
0.048 is the probability that more than 950 message arrive in one minute.
Step-by-step explanation:
We are given the following information in the question:
The number of messages arriving at a multiplexer is a Poisson random variable with mean 15 messages/second.
Let X be the number of messages arriving at a multiplexer.
Mean = 15
For poison distribution,
Mean = Variance = 15
From central limit theorem, we have:
where n is the sample size.
Here, n = 1 minute = 60 seconds
P(x > 950)
Calculation the value from standard normal z table, we have,
0.048 is the probability that more than 950 message arrive in one minute.
Answer:
3
Step-by-step explanation:
x − (y − y)
3-(6-6)
3-0
3
This is equals 3 and 18/56 which reduces to 3 and 9/28 all you have to do is plug it the calculator like it is shown and then you will get this answer
