The question says finding fraction
2 answers:
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Solution :
Let the three places be 1, 2, 3, 4, 5, 6, 7, 8
a). Number of the cases when a general manager is the next to a vice president is equal to 7 and the these 2 can be arranged in 21 ways. So the total number of ways = 7 x 2
= 14
[(1,2)(2,1) (2,3)(3,2) (3,4)(4,3) (4,5)(5,4) (5,6)(6,5) (6,7)(7,8) (8,7)(7,6)]
Therefore the required probability is
=
b). The probability that the marketing director to be placed in the leftmost position is
c). The two events are not independent because
where A is the case a and B is the case b.
Given that the quadratic equation is
We need to determine the y - value of the vertex.
<u>The x - value of the vertex:</u>
The x - value of the vertex can be determined using the formula,
where
Substituting these values, we get;
Simplifying the terms, we get;
Thus, the x - value of the vertex is -5.
<u>The y - value of the vertex:</u>
The y - value of the vertex can be determined by substituting the x - value of the vertex ( x = -5) in the equation
Thus, we get;
Simplifying the values, we have;
Thus, the y - value of the vertex is 49.
Answer:
s = 28.09 m/s
Step-by-step explanation:
Given that,
The equation that gives the height of the largest ocean waves when the wind speed is s knots is given by :
We need to find the wind speed if the largest waves are 15 feet high.
Put h = 15 feet in the above equation as follows :
So, the speed of the wind is 28.09 m/s.