Answer:
The surface area of the rectangular pyramid is 
Step-by-step explanation:
we know that
The surface area of the rectangular prism is equal to the area of the rectangular base plus the area of the four triangular faces
so
![SA=(8)(5)+2[14.75]+2[\frac{1}{2}(8)(5)]](https://tex.z-dn.net/?f=SA%3D%288%29%285%29%2B2%5B14.75%5D%2B2%5B%5Cfrac%7B1%7D%7B2%7D%288%29%285%29%5D)


Answer :
Yes, the experiment is a binomial experiment because it satisfies all the four characteristics of the binomial experiment :
1. Fixed number of trials
2. Exactly two outcomes
3. Outcomes are independent of each other
4. Probability of all the outcomes remains constant from trial to trial.
Success in the given experiment is that the baby recovers fully.
Hospital is caring for 6 babies , n = 6
p = 0.20 ( Success )
q = 1 - 0.20 = 0.80 ( Not a success )
Value of random variable x is the number of babies which are recovering fully, x = 0, 1, 2, 3, 4, 5 or 6
Answer:
3
Step-by-step explanation:
Given
f(x) =
, then
f(12) =
=
= ± 3
There are 2 values 3 and - 3
The positive value of f(12) is + 3
<h2>
Answer:</h2>
The ratio of the area of region R to the area of region S is:

<h2>
Step-by-step explanation:</h2>
The sides of R are in the ratio : 2:3
Let the length of R be: 2x
and the width of R be: 3x
i.e. The perimeter of R is given by:

( Since, the perimeter of a rectangle with length L and breadth or width B is given by:
)
Hence, we get:

i.e.

Also, let " s " denote the side of the square region.
We know that the perimeter of a square with side " s " is given by:

Now, it is given that:
The perimeters of square region S and rectangular region R are equal.
i.e.

Now, we know that the area of a square is given by:

and

Hence, we get:

and

i.e.

Hence,
Ratio of the area of region R to the area of region S is:

(2x + 3y = 12) x (-2)
(4x - 3y = 6) x 1
-4x - 6y = -24
4x - 3y = 6
You can cancel out the x values by adding the two equations together.
(-4x + 4x) + (-6y - 3y) = (-24 + 6)
-9y = -18
y = 2
Solve for x now...
4x - 3(2) = 6
4x - 6 = 6
4x = 12
x = 3
Check... (x = 3, y = 2)
2(3) + 3(2) = 12
6 + 6 = 12
12 = 12 <- this works!
4(3) - 3(2) = 6
12 - 6 = 6
6 = 6 <- this works!