Answer:
Step-by-step explanation:
Answer:
The percent of the area under the density curve where
is more that 3 is 25 %.
Step-by-step explanation:
Since the density curve is a linear function, the area under the curve can be calculated by the geometric formula for a triangle, defined by the following expression:
(1)
Where:
- Area, in square units.
- Base of the triangle, in units.
- Height of the triangle, in units.
The percent of the area is the ratio of triangle areas under the density curve multiplied by 100 per cent, that is:


The percent of the area under the density curve where
is more that 3 is 25 %.
Answer:
The appropriate solution is:
(1) 22.81 minutes
(2) 0.171
Step-by-step explanation:
According to the question, the values will be:
The service rate of guess will be:
= 
= 
The mean arrival rate will be:


The mean service rate will be:

(1)
The average time a cab must wait will be:
⇒ 
⇒ 
⇒ 
⇒ 
(2)
The required probability will be:
⇒ 
⇒ 
⇒ 
Answer: x = 77 degrees, y = 77 degrees, z = 103 degrees
Step-by-step explanation:
Since y and 103 are essentially same side interior angles, they must add up to 180. Therefore, y = 180-103 = 77 degrees.
Opposite angles of a paralellogram are equal.
Therefore, x = y = 77 degrees and z = 103 degrees
Answer:
<h2>

</h2>
Step-by-step explanation:
f(x) = 2x + 4
g(x) = 4x² + 1
In order to find (g ∘ f)(0) we must first find
(g ° f )(x)
To find (g ° f )(x) substitute f(x) into g(x) that's for every x in g(x) replace it with f(x)
That's
<h3>

</h3>
We have
<h3>

</h3>
Now to find (g ∘ f)(0) substitute the value of x that's 0 into (g ∘ f)(0)
We have
<h3>

</h3>
We have the final answer as
<h3>

</h3>
Hope this helps you