Answer:
Given equation have two solutions.
x =
Right option is (D)
Step-by-step explanation:
We have given,
we can rewrite this equation in the form given as:
6x² + 40 + 31x = 0
or 6x² + 31x + 40 = 0
On solving this quadratic equation, we get :
x =
That means, given equation have two solutions.
Right option is (D)
Answer:
Step-by-step explanation:
we know that
The standard equation of a horizontal parabola is equal to
where
(h,k) is the vertex
(h+p,k) is the focus
In this problem we have
(h,k)=(0,0) ----> vertex at origin
(h+p,k)=(-4,0)
so
h+p=-4
p=-4
substitute the values
Answer:
a) The expected value is given by:
The variance is given by:
And the standard deviation is just the square root of the variance and we got:
b)
And we can use the cumulative distribution function given by:
And using this function we got:
c)
And using the complement rule and the cumulative distribution function we got:
Step-by-step explanation:
For this case we define the random variable X=quantity put in each bag , and we know that the distribution for X is given by:
Part a
The expected value is given by:
The variance is given by:
And the standard deviation is just the square root of the variance and we got:
Part b
For this case we want this probability:
And we can use the cumulative distribution function given by:
And using this function we got:
Part c
For this case we want this probability:
And using the complement rule and the cumulative distribution function we got: