Mean=0.48
standard deviation=0.01
thus using the z-score:
P(x>0.5) we shall have the following:
z=(0.5-0.48)/0.01=2
thus
P(x>0.5)
=1-P(x<0.5)
=1-P(z<2)
=1-0.9772
=0.0228
Answer:
x = 2 , y = 11
Step-by-step explanation:
the diagonals of a parallelogram bisect each other , then
PT = TR , that is
y = 5x + 1 → (1)
QT = TS , that is
2y = 6x + 10 → (2)
substitute y = 5x + 1 into (2)
2(5x + 1) = 6x + 10
10x + 2 = 6x + 10 ( subtract 6x from both sides )
4x + 2 = 10 ( subtract 2 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2
substitute x = 2 into either of the 2 equations for corresponding value of y
substituting into (1)
y = 5(2) + 1 = 10 + 1 = 11
Im guessing by my predicition that it will be 0.11 that will continue
The area of a rectangle is obtained through the equation,
A = L x W
The width of the yard is 4 ft less than the length and may be expressed as L - 4. Length may be solved through the following steps,
A = (L)(L-4) ; 96 = L(L - 4) ; L = 12 ft
The length and width are 12 ft and 8 ft, respectively. Perimeter may be solved through the equation,
P = 2 x (L + W)
Substituting the values of L and W
P = 2 x ( 12 ft + 8 ft) = 40 ft
Therefore, the perimeter of the yard is 40 ft.
20✔️3 + 4✔️27
20✔️3 + 4✔️9 • 3
20✔️3 + 4 • 3 ✔️3
20✔️3 + 12✔️3
32✔️3.
The solution is 32✔️3.