Answer:
For the answer to the question above, the numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard deviation is 30 pages, you can conclude that about 16% of the books have fewer than 150 pages.
Answer:
24π or about 75.4 mm
Step-by-step explanation:
The circumference of a circle is denoted by C = 2πr, where r is the radius.
Here, we see that r = 12, so plugging this in:
C = 2πr
C = 2π * 12 = 24π ≈ 75.4 mm
The answer is thus 24π or about 75.4 mm.
<em>~ an aesthetics lover</em>
Start from the parent function 
In the first case, you are computing

In the second case, you are computing
, you translate the function horizontally,
units left if
and
units right if
.
On the other hand, when you transform
, you translate the function vertically,
units up if
and
units down if
.
So, the first function is the "original" parabola
, translated
units right and
units up. Likewise, the second function is the "original" parabola
, translated
units left and
units down.
So, the transformation from
to
is: go
units to the left and
units down
Answer:
Trapezoid 1 (left side):
Base 1 = 2
Base 2 = 5
Trapezoid 2 (right side):
Base 1 = 6
Base 2 = 8
Step-by-step explanation:
<u>1st trapezoid:</u>
b_1 = x
b_2 = x + 3
h = 4
Hence, area (from formula) would be:

<u>2nd trapezoid:</u>
b_1 = 3x
b_2 = 4x
h = 2
Putting into formula, we get:

Let's equate both equations for area and find x first:

We can plug in 2 into x and find length of each base of each trapezoid.
Trapezoid 1 (left side):
Base 1 = x = 2
Base 2 = x + 3 = 2 + 3 = 5
Trapezoid 2 (right side):
Base 1 = 3x = 3(2) = 6
Base 2 = 4x = 4(2) = 8