A parabola is defined by the equation x2 = y. In which direction will the parabola open?
2 answers:
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Answer:
The shape and rate parameters are and
.
Step-by-step explanation:
Let <em>X</em> = service time for each individual.
The average service time is, <em>β</em> = 12 minutes.
The random variable follows an Exponential distribution with parameter, .
The service time for the next 3 customers is,
<em>Z</em> = <em>X</em>₁ + <em>X</em>₂ + <em>X</em>₃
All the <em>X</em>'s are independent Exponential random variable.
The sum of independent Exponential random variables is known as a Gamma or Erlang random variable.
The random variable <em>Z</em> follows a Gamma distribution with parameters (<em>α</em>, <em>n</em>).
The parameters are:
Thus, the shape and rate parameters are and
.
Answer:
Equation C: 5/8x + 2..5 = 3/8x + 1.5 + 1/4x
Step-by-step explanation:
Let us go through each of the equations one by one.
Equation A:
This simplifies to
which has infinitely many solutions.
Equation B:
this simplifies to
which is exactly one solution.
Equation C:
this simplifies to
There's no way this is going to be possible; this equation has no solutions.
Equation D:
this gives
which is exactly one solution.
Thus we see that it is equation C that has no solutions.
Answer:
The graph you have is wrong. This is the right graph.
Hope this helps! Have a nice day, good luck, and stay safe!
Answer:
The functions given are:
f(x) = x²
g(x) = f(-4x-3) + 1
First, find f(-4x-3):
f(x) = x²
f(-4x-3) = (-4x-3)²
Find g(x):
g(x) = f(-4x-3) + 1
g(x) = (-4x-3)² + 1
g(x) = (-1)² (4x+3)² + 1
g(x) = (4x+3)² + 1
First take
y = (x)²
Compress the graph along x axis by multiplying x with 4
y = (4x)²
Shift the graph left by 0.75 units, by adding 3 to x term.
y = (4x+3)²
Shift the graph up by 1 unit by adding 1 to the total terms.
y = (4x+3)² +1
