Answer:
y = - 
(x - 1)² + 2
Step-by-step explanation:
Any point (x, y) on the parabola is equidistant from the focus and the directrix.
Using the distance formula
= | y - 6 |
Square both sides
(x - 1)² + (y + 2)² = (y - 6)² ( expand the factors in y )
(x - 1)² + y² + 4y + 4 = y² - 12y + 36 ( subtract y² - 12y from both sides )
(x - 1)² + 16y + 4 = 36 ( subtract 4 from both sides )
(x - 1)² + 16y = 32 ← subtract (x - 1)² from both sides )
16y = - (x - 1)² + 32 ( divide all terms by 16 )
y = - (x - 1)² + 2
Answer:
(a) mean = 377.5ml. standard deviation = 4.33
(b) 0.333
(c) 384.25 ml
Step-by-step explanation:
(a)The mean:
The standard deviation:
(b)
(c)P(x > m) = 0.95
So the volumn of shampoo should be 384.25ml to exceed 95% of containers.
Answer:
Area of the square is 2916 
.
Step-by-step explanation:
Let the breadth of the rectangle be represented by w. So that;
length of rectangle = 5w
Area of rectangle = length x breadth
= 5w x w
1620 = 5
divide through by 5 to have,
= 324
w = 
= 18
Thus, the breadth of the rectangle is 18 m.
length = 5 w = 5 x 18
= 90 m
The length of the rectangle is 90 m.
Perimeter of the rectangle = 2(l + w)
= 2( 90 + 18)
= 216 m
Perimeter of a square = 4l
where l is the length of its side.
Given that the perimeters of the rectangle and square are equal, then;
4l = 216
l = 
= 54
length of the side of square is 54 m.
Therefore,
Area of square = 
= 
= 2916
Area of the square whose perimeter is equal to that of the rectangle is 2916 .
Answer:
-24n+64
Step-by-step explanation:
just distribute
