During a musical an orchestra is playing. As the music plays, the volume changes in the beginning of the piece can be modeled by
1 answer:
Hey Child.
The answer to this is 1 or 7:
To find the range for the number of measures played to satisfy our solution, we must solve for x using s = 80.
Next, we subtract 50 from both sides of the equation.
Next, we divide both sides of the equation by 10
Next, to eliminate the absolute value bars, we will add a ± sign in front of our s value, 3.
Finally, we add 4 to both sides of our equation giving us 4 ± 3 = x
Separating this into two equations, we get 4 - 3 = x and 4 + 3 = x
Therefore, x, the number of measures of music played, must be either 1 or 7.
Hope It Helped!~
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There is a theorem that we can use to find the expected value of a random variable that is a sum of other random variables as follows.
If
, then 
.
In this case, let X = the number of accidents that will happen on any of those highways today,
are the numbers of accidents on each highway, respectively.
Then
.
Since are Poisson variates, their expected values are the parameters given, .3, .5 and .7.
So
Thus,
The answer is 1.5.
If
In this case, let X = the number of accidents that will happen on any of those highways today,
Then
Since
So
Thus,
The answer is 1.5.