<span>The mean for both processes is 28+17 = 45 minutes.
The variance is additive, so the total variance is 5+4 = 9. The standard deviation is the square root of variance, which is 3 minutes.
Then the z-score associated with a time of x = 50 minutes is:
z = (x - mean)/SD = (50 - 45)/3 = 1.67
From a z-table, the probability that (z > 1.67) is 0.0475.
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Answer:
MK=32.5
Step-by-step explanation:
Hey There!
I believe that these triangles are similar
So to find MK we want to find the scale factor
To do this we divide
66/30=2.2
Now we want to divide 72.5 by 2.2
72.5/2.2=32.5
therefore MK=32.5
hope this helps!
Answer:
f(g(x)) = 72x^2+1
Step-by-step explanation:
f(x) = 2x^2 +1
g(x) = -6x
f°g(x) means f(g(x))
Take g(x) and substitute it in for x in f(x)
f(g(x)) = 2(g(x))^2 +1
=2(-6x)^2 +1
=2(36x^2) +1
=72x^2 +1
Answer: 3.4
Step-by-step explanation: Because, you're rounding to the nearst tenth and .36 has a 6 in it anything above a 5 you round up and anything under you round down.
The LCD = 6x^2y^3 ( because LCD of 3 and 6 = 6, LCD of x^2 and x = x^2 and LCD of y and y^3 = y^3)
now divide 3x^2y into the LCD then multiply this by 5 to get the first term in the numerator and do similar process to get second term, so we get:-
5(2y^2) - 4(x)
------------------
6x^2y^3
= 2( 5y^2 - 2x)
-----------------
6x^2y^3
= 5y^2 - 2x
-----------
3x^2y^3
