Answer:

Step-by-step explanation:
Let
- D be the event that the card drawn is a black card
- F be the event that the card drawn is a 10 card
- F' be the event that the card drawn is not a 10 card
The probability

Note that

So,

3.49/25 = $0.14 per ounce
4.79/40 = $0.12 per ounce
Choice B has a lower price per ounce
Answer:
A) x^2 + 2x+ y^2 - 4y + z^2 - 2z - 63 = 0
B) radius = 5
center = (4,-1,-3)
Step-by-step explanation:

A ) Determine the curve in which the sphere intersects the yz-plane
determine the radius ( r ) = √((6-(-1))2+(-2-2)2+(3-1)2) = √69
next the equation of the sphere ( curve in which the sphere intersects the yz-plane )
x^2+2x+y^2-4y+z^2-2z-63 = 0
B) determine the center and radius of the sphere
X^2 + y^2 + z^2 -8x + 2y +6z + 1 = 0
(x-4)2+(y+1)2+(z+3)2 = 25 = 52
radius = 5
center = (4,-1,-3)
(4x)(-3x^8)(-7x^3)
4 (-3)(-7) = 84
x(-x^8)(-x^3) = x^(1 + 8 + 3) = x^12
Answer: 84x^12
x km : 7,735 m
kilometers : meters = 1 : 1,000
(1 meter) ÷ (1,000)
1 meter = 0.001 km
7,735 meters = 7.735
Correct Answer = A) 7.735 km