One of the two hypotheses is to be chosen based on an observation of the random variable X. If H0 is true, then X is exponential
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Answer:
B. The value of C is 1
Step-by-step explanation:
Given:
- y = 2x + C is a tangent to parabola y² = 8x
To find:
- value of C
A line being a tangent to curve means both equations are equal but there has to be only one interception between both graphs.
Therefore, substitute y = 2x+C in y² = 8x:
Expand the expression (2x+C)² using perfect square:
Simplify the equation:
The discriminant says:
- If b²-4ac > 0 then there are two real roots
- If b²-4ac = 0 then there is only one real root
- If b²-4ac < 0 then the are no real roots
For this, we choose b²-4ac = 0 since tangents only have one intersection.
Solve the equation for C:
Therefore, the value of C is 1