Answer:
The surface area of the given pyramid is 112
.
Step-by-step explanation:
Base length of the pyramid = 4 inches
Area of the base = ![length^{2}](https://tex.z-dn.net/?f=length%5E%7B2%7D)
= ![4^{2}](https://tex.z-dn.net/?f=4%5E%7B2%7D)
= 16
Area of its base = 16 ![inches^{2}](https://tex.z-dn.net/?f=inches%5E%7B2%7D)
Area of one of its triangular surface =
x base x height
=
x 4 x 12
= 2 x 12
= 24 ![inches^{2}](https://tex.z-dn.net/?f=inches%5E%7B2%7D)
Area of all its four triangular surfaces = 4 x 24
= 96 ![inches^{2}](https://tex.z-dn.net/?f=inches%5E%7B2%7D)
surface area of the pyramid = sum of areas of all its surfaces
= 16 + 96
= 112 ![inches^{2}](https://tex.z-dn.net/?f=inches%5E%7B2%7D)
The surface area of the given pyramid is 112
.
The formula to find the area of a triangle is:
![\sf~A=\dfrac{1}{2}bh](https://tex.z-dn.net/?f=%5Csf~A%3D%5Cdfrac%7B1%7D%7B2%7Dbh)
Plug in what we know:
![\sf~A=\dfrac{1}{2}(12)(6)](https://tex.z-dn.net/?f=%5Csf~A%3D%5Cdfrac%7B1%7D%7B2%7D%2812%29%286%29)
Multiply:
The height is the measurement from the base to the top straight up.
The Slanted height is the height from base to top on one face of the pyramid.
A. It says “If Nancy is having a birthday then joe will buy her a card” it could Also be C. But it says “if joe buys Nancy a card he will GIVE IT TO HER” not just buying it so the most likely answer is A
Mean is
and a standard deviation is
, then the variable
.
Use substitution
.
This substitution gives you that
.
a. For X=130,
and
(the decimal value is taken from the Standard Normal Distribution Table).
b. For X=90,
and for X=110,
. Then
(the decimal value is taken from the Standard Normal Distribution Table).