By using the Distributive Property, you would multiply 3 into the parenthesis (3 · x and 3 · -4)
3(x - 4) = 24
3x - 12 = 24
Then, you would solve like any normal one-step equation.
3x - 12 = 24
+12 +12
__________
3x 36
__ = __
3 3
x = 12, which is your final solution.
If you need any further explanations, please ask me :)
Answer:
It is a value that is an abnormal distance from the other values in a data set.
Step-by-step explanation:
An outlier is something that stands out from another thing. Such as color in a black and white film.
Part a)
Answer: 5*sqrt(2pi)/pi
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Work Shown:
r = sqrt(A/pi)
r = sqrt(50/pi)
r = sqrt(50)/sqrt(pi)
r = (sqrt(50)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(50pi)/pi
r = sqrt(25*2pi)/pi
r = sqrt(25)*sqrt(2pi)/pi
r = 5*sqrt(2pi)/pi
Note: the denominator is technically not able to be rationalized because of the pi there. There is no value we can multiply pi by so that we end up with a rational value. We could try 1/pi, but that will eventually lead back to having pi in the denominator. I think your teacher may have made a typo when s/he wrote "rationalize all denominators"
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Part b)
Answer: 3*sqrt(3pi)/pi
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Work Shown:
r = sqrt(A/pi)
r = sqrt(27/pi)
r = sqrt(27)/sqrt(pi)
r = (sqrt(27)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(27pi)/pi
r = sqrt(9*3pi)/pi
r = sqrt(9)*sqrt(3pi)/pi
r = 3*sqrt(3pi)/pi
Note: the same issue comes up as before in part a)
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Part c)
Answer: sqrt(19pi)/pi
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Work Shown:
r = sqrt(A/pi)
r = sqrt(19/pi)
r = sqrt(19)/sqrt(pi)
r = (sqrt(19)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(19pi)/pi
Consecutive integers can be represented as x, x+1, x+2 and so on.
x+x+1+x+2+x+3+x+4=-65
5x+10=-65
5x=-75
x=-15
Final answer: -15, -14, -13, -12, -11
