Step-by-step explanation:
Total Surface Area of original cylinder
= (2×(22/7)×9)(9+24)
=18×22/7×33
=1,866.8
Total Surface Area of new cylinder
=(2×(22/7)×9/3)(9/3+24/3)
=(2×(22/7)×3)(3+8)
=6×22/7×11
=207.4
Change or Ratio of org. cylinder to new cylinder
=1,866.8/207.4
=9.0009
Answer:
P(x=25)=P(z=2)=0.9972 or 99.72%
Step-by-step explanation:
Mean = 18 pounds
Standard Deviation = 3.5 pounds
x= 25
We need to find P(x=25)
First, we need to find z-score using formula: 
Finding z-score when x=25

So, we need to find P(z=2)=P(x=25)
Looking at z-score table we can find P(z=2)
P(z=2)=0.9972 or 99.72%
So, P(z=2)=0.9972 or 99.72%
Answer:f(x)= -8 (4x) will be the reflected function across x-axis for the function g(x).
Explanation: since we know that the image or reflection of x along x-axis = -x
That is, when we talk about a function's reflection across any axis then we have to replace variable according to that axis. For example if you have a line x=3 in positive x-axis then you can also draw a similar line x=-3 in negative x-axis. so, you can say, x=-3 is the reflection of x=3 along x axis.
Similarly, for an another line y=3, y=-3 is a reflection.
thus in the case of g(x) we can find the reflection across x-axis after replacing x by -x.
we have g(x) =8(4x)
replace x by -x we get g(-x)= 8(4×-x)= 8(-4x)=-8(4x)
so -8(4x) is the reflection of g(x)
but according to the question f(x) is the reflection of g(x) across x-axis.
Thus, f(x)=-8(4x)
So first you would put these over a common denominator which is 96. You get this by multiplying by 9 and what you do to the denominator you must do to the numerator so you then get 45/96 and 63/96. Pelicans=45/96. Woodpeckers=63/96