The formula for this type of question is z=x-u/y
z=-2 (z-value)
u = 27 (mean)
y = 4 (standard deviation)
Therefore -2=x-27/4
You now figure this out like a normal equation
4x-2=4 X x-27/4
-8+27= x-27+27
19=x
Therefore the data value of x is 19
If you would like to write 45 minutes to 1 hour in the simplest form, you can do this using the following step:
1 hour = 60 minutes
45 minutes : 60 minutes = 45 : 60 = 3 : 4 (divide both numbers by 15)
The correct result would be 3 : 4.
<u>We are given:</u>
f(x) = -x² - 1
g(x) = x + 5
<u>Finding f(g(x)):</u>
because g(x) = x+5
f(g(x)) = f(x+5)
f(x+5) = -(x+5)² - 1
f(x+5) = -(x² + 25 + 10x) - 1
f(x+5) = -x² - 25 - 10x - 1
f(x+5) = -x² - 10x - 26
comparing with the question,
first blank = (-1)
second blank = (-10)
third blank = (-26)