Answer:
A=4.
Step-by-step explanation:
Note: In the expression of area the first term should be
.
It is given that area of a rectangular floor of your house is
and the length is
units.
We know that, area of a rectangle is
Since length of the rectangle is
, therefore
is a factor of
and the value of
is 0 at x=-2.
Divide both sides by 4.
Therefore, the value of A is 4.
4.5 is the answer.
First you multiply 9.6x3.2 which gives us 30.72
Then you divide 138.24 by 30.72 which equals 4.5
Hope this helps
Answer:
The probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.
Step-by-step explanation:
Let <em>X</em> = number of students arriving at the 10:30 AM time slot.
The average number of students arriving at the 10:30 AM time slot is, <em>λ</em> = 3.
A random variable representing the occurrence of events in a fixed interval of time is known as Poisson random variables. For example, the number of customers visiting the bank in an hour or the number of typographical error is a book every 10 pages.
The random variable <em>X</em> is also a Poisson random variable because it represents the fixed number of students arriving at the 10:30 AM time slot.
The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 3.
The probability mass function of <em>X</em> is given by:

Compute the probability of <em>X</em> = 2 as follows:

Thus, the probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.
Hello,
y=x²-x-2=x²-2*1/2*x+1/4-2-1/4=(x-1/2)²-9/4
1. Vertex=(1/2,-9/4)
2. if x=0 then y=0²-0-2=-2
3.The roots:
x²-x-2=0
==>(x-1/2)²-9/4=0
==>(x-1/2-3/2)(x-1/2+3/2)=0
==>(x-2)(x+1)=0
x=2 or x=-1
4. axe of symmetry: x=1/2
So the vertex, exactly between the focus and directrix, must be at <span>(h, k) = (1,
–2)</span><span>.</span>