Answer and Step-by-step explanation:
Number of ways = 59C5 × 35= 59!/(54!*5!)* 35= 175223510
Odds are thus 1 in 175223510
b) 1 million - Number of ways = 59!/(54!*5!) =5006386*35/34 = 5153632
Odds are thus 1 in 5153632
Since it is a rectangular prism, the front and back are the same. the sides are the same and the top and bottom are the same. You would find the area of the front and back first. Since they both have the same measurements, you can find the area of one of the faces and multiply by 2.
A=BH
A= 3x5
A=15
15x2=30
So the front and back's area is 30. Now you find the area of both sides. They are both rectangle so the formula is A=BH.
A=BH
A=3x5
A=15
15x2=30
Now you find the area of the top and bottom. It is also a rectangle so you will use the same formula.
A=BH
A=3x3
A=9
9x2=18
Finally, you add all these measurements together adn that is the surface area.
This surface area of this rectangle prism is 78.
I hope this helps you
x^2+4x+3=2x+6
x^2+2x-3 =0
x +3
x -1
(x+3)(x-1)=0
x+3=0 x= -3
x-1=0 x=1
Answer:
m
Step-by-step explanation:
Let
Bas length of box=b
Height of box=h
Material used in constructing of box=36 square m
We have to find the height h and base length b of the box to maximize the volume of box.
Surface area of box=
Volume of box, V=
Substitute the values
Differentiate w. r.t b
The negative value of b is not possible because length cannot be negative.
Again differentiate w.r.t b
At
Hence, the volume of box is maximum at .
m