Answer:

Step-by-step explanation:
The equation of this ellipse is

for a vertical oriented ellipse where;
(h,k) is the center
c=distance from center to the foci
a=distance from center to the vertices
b=distance from center to the co-vertices
You know center of an ellipse is half way between the vertices , hence the center (h,k) of this ellipse is (0,0) and its is vertical oriented ellipse
Given that
a= distance between the center and the vertices, a=7
c=distance between the center and the foci, c=√33
Then find b

The equation for the ellipse will be

Answer:
Triangle(C)
Step-by-step explanation:
All the Exterior Angles of a polygon add up to 360°, so: each exterior angle must be 360°n (where n is the number of sides). So, 360n=120 ; n=360/120=3 It is a triangle.
(1-0.2)(1-0.4)(1-0.62) = (0.8)(0.6)(0.38) = 0.1824
Answer: 0.1824
P(> or =70) =0.65
P(Collins inside) =0.80
P(not 70) = 1-P(70) =>0.35
P(Collins inside) = 0.1
Then P(70 AND Collin inside) .65 x .8 =0.52
P( not 70 AND Collin Outside = 0.35 x 0.1=0.035
TOTAL Possibility [(70 AND Inside) OR (not 70 AND Outside):
=0.52 + 0.034 =0.555
Answer:
99 in³
Step-by-step explanation:
Let the radius and height of each be r and h in. respectively.
Write an equation for the volume of cone.
Volume of cone= ⅓πr²h
⅓πr²h= 33
Multiply both sides by 3:
πr²h= 99
Volume of cylinder= πr²h
We have found the value of πr²h previously, which is 99.
Thus, the volume of the cylinder is 99 in³.