19% is 19/100 and there is nothing that can go into these numbers evenly so this is the simplest form
Answer:
Step-by-step explanation:
Note that the area under a probability density curve must be 1.
The formula for the area of a triangle is A = (1/2)(base)(height).
Here the base is 25 units. Thus, A = 1 unit^2 = (1/2)(25 units)(height), or, after multiplying both sides of this equation by 2:
2 units^2 = ( 25 units)(height)
2 units^2
Then (height) = --------------------- = 0.08 unit
25 units
The height of the triangle is 0.08 unit.
We can use the vertex form of a quadratic,
, to find that
. Plugging
ordered pairs into g(x), we see that a = 1. For example, for
,
. Solving for a gives 1.
Answer:
Dimensions of original room = 12 x 12 feet.
Explanation:
Let the size of old square room be a x a.
New dimension = ( a+4 ) x ( a + 6 )
We have area of the new room will be 144 square feet greater than the area of the original room.
So, ( a+4 ) x ( a + 6 ) = a x a + 144
a²+10a+24= a²+144
10a = 120
a = 12 feet.
Dimensions of original room = 12 x 12 feet.
