Answer:
(a)f(4) square cm.
(b)f(10.91)-f(10.9) Square centimeter.
Step-by-step explanation:
f(r)=the area of a circle (in square cm) that has a radius of r cm.
(a)Area (in square cm) of a circle whose radius is 4 cm.
Since r=4cm
Area of the circle = f(4) square cm.
(b) When the radius of the increases from 10.9 to 10.91 cm.
- Area of the circle with a radius of 10.91 = f(10.91) square cm.
- Area of the circle with a radius of 10.9 = f(10.9) square cm.
Change in the Area = f(10.91)-f(10.9) Square centimeter.
Answer:
x = 6
y = -6
Step-by-step explanation:
x + y = 0 (Multiply by -1)
x + 9y= -48
-x - y = 0
x + 9y= -48
8y = -48
y = -6
x + y = 0
x - 6 = 0
x = 6
Answer:
Option (4)
Step-by-step explanation:
Party planner has used an arc of balloons for the parade.
This arc starts from x = 0 along the ground and f(x) defines the height of the arch.
From the table attached, it is clear that at x = 4 maximum height of the arch is 9.6 feet.
Therefore, clearance space below the arc is 9.6 feet which is greater than 9 feet, minimum height required for the clearance of the parade.
Option (4) will be the answer.
Answer:
0.0060
Step-by-step explanation:
The z-score is given by
<em>z = (866,475-722,500)/57,429 = 2.51
</em>
The probability is given by the area under the Normal curve N(0,1) to the <em>right</em> of 2.51
In <em>Excel </em> this value is found with the formula
=1-NORMDIST(2.51,0,1,1)
and in <em>OpenOffice Calc
</em>
=1-NORMDIST(2.51;0;1;1)
<em>
(NORMDIST(2.51;0;1;1) gives the area to the left of 2.51, so 1-NORMDIST(2.51;0;1;1) gives the area to the right of 2.51)
</em>
and equals 0.0060
