Answer:
<em>The equation of the Parabola</em>
<em>(y - 6 )² = 8 (x -6)</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given directrix x = 4
we know that x = h - a = 4
h -a = 4 ...(i)
Given Focus = ( 8,6)
we know that the Focus of the Parabola
( h + a , k ) = ( 8,6)
comparing h + a = 8 ...(ii)
k = 6
solving (i) and (ii) and adding
h - a + h+ a = 8 +4
2 h = 12
h =6
Put h = 6 in equation (i)
⇒ h - a =4
⇒ 6 - 4 = a
⇒ a = 2
<u><em>Step(ii):-</em></u>
<em>The equation of the Parabola ( h,k) = (6 , 6)</em>
<em>( y - k )² = 4 a ( x - h )</em>
<em>(y - 6 )² = 4 (2) (x -6)</em>
<em>(y - 6 )² = 8 (x -6)</em>
<u><em></em></u>
Z = ( 135 - μ ) / σ = -1
z = ( 165 - μ ) / σ = 1
P (x < 135) = P (z < -1) = 0.1587
P (165 < x) = P (1 < z) = 0.1587
.187 * 1000 = 187 more than 165
<span>.187 * 1000 = 187 less than 135</span>
Answer:
36 square feet
Step-by-step explanation:
To get the answer you need to find the area of the triangle and subtract area of the rectangle.
7*12/2 = 42
42 - 3*2 = 36
Answer:
you should multiply or add
Step-by-step explanation: