Answer:
6.24%
Step-by-step explanation:
The first step is to determine how much stock is owned when there are 48 million outstanding stock
x 48 million = 0.9984 million
So, i own 0.9984 million shares.
If there are 16 million outstanding stock
(0.9984 / 16 million ) x 100 = 6.24%
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Santa can leave 15 toys at their house.
Probability someone chosen at random will not have brown hair = 1/6
The number of girls = 15
The number of boys = 15
The total number of children = 15 + 15 = 30
Probability that someone chosen at random will have a brown hair, P(Brown hair) = 5/6
P(Brown hair) + P(Not Brown hair) = 1
5/6 + P(Not brown hair) = 1
P(not brown hair) = 1 - 5/6
P(not brown hair) = 1/6
Therefore, if someone is chosen at random, probability that they will not have brown hair = 1/6
Learn more on probability here: brainly.com/question/27899440
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Equation of Sphere = + + - 18x - 4/3y +10z + 142/3 = 0
Data Given:
P = (x,y,z)
Distance from P to A (-3,6,3) = Twice the distance from P to B(6,2,-3)
Solution:
Find the equation of the sphere:
It is given that:
PA = 2PB
Squaring both sides:
+ + = 4 x + +
Solving the above equation:
+ + = 4 x { + + }
+ 9 + 6x + + 36 - 12y + + 9 - 6z = 4 { + 36 - 12x + + 4 - 4y + + 9 + 6z}
+ 9 + 6x + + 36 - 12y + + 9 - 6z = 4 + 144 - 48x +4 + 16 - 16y + 4 + 36 + 24z
Putting the right hand side = 0 and solving the equation:
- 4 + - 4 + - 4 + 6x + 48x - 12y +16y -6z - 24z + 9 + 36 + 9 -144 - 16 - 36 = 0
-3 - 3 -3 + 54x + 4y -30z -142 = 0
Taking (-) common
- ( 3 + 3 + 3 - 54x - 4y +30z + 142) = 0
3 + 3 + 3 - 54x - 4y +30z + 142 = 0
dividing the whole equation by 3
+ + - 54/3x - 4/3y +30/3z + 142/3 = 0
+ + - 18x - 4/3y +10z + 142/3 = 0