Answer:
0.6443
Step-by-step explanation:
Given the that:
P(Z < 0.37) ; using a standard normal distribution :
The probability can be obtained using several methods :
Using a standard normal distribution table ;
P(Z < 0.37) = obtain the value at the intersection where 0.3 is on the vertical axis and 0.07 on the horizontal axis of the Z distribution table
Hence,
P(Z < 0.37) = 0.6443
Answer: The area of ABC is 56 m².
Explanation:
It is given that in △ABC, point P∈ AB is so that AP:BP=1:3 and point M is the midpoint of segment CP.
Since point P divides the line AB in 1:3, therefore the area of triangle APC and BPC is also in ratio 1:3. To prove this draw a perpendicular h on AB from C.
Since the area of BPC is 
th part of total area, therefore area of APC is 
th part of total area.
The point M is the midpoint of CP, therefore the area of BMP and BMC is equal by midpoint theorem.
Area of BPC is,
Area of APC is,
Area of ABC is,
Therefore, the area of ABC is 56 m².
Answer:
When we have a rectangle of length L and width W, the area is calculated as:
A = W*L
In this case, W = x, and the area is:
A = 2*x
Then we must have L = 2.
We know that the area of the window and the frame (together) is:
a = 2*x^2 + 12*x + 16
The area of the frame alone, will be equal to the difference between the area of both objects (a) and the area of the window alone (A)
area of the frame = a - A
= (2*x^2 + 12*x + 16) - (2*x) = (2*x^2 + 10*x + 16)
This is the area of the frame
Answer : 0.12 ( decimal ) 12/100 ( fraction )
It is definitely (y-2)=3(x-2)
