Answer:
(2,-1)
Step-by-step explanation:
Rewrite in vertex form
y = -1/4(x-2)^2-1
Answer:

And replacing using the mass function we got:
And adding the values we got:

Step-by-step explanation:
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
We want to find the following probability:

And replacing using the mass function we got:
And adding the values we got:

Answer:
x = 0, -4 and -3.
Step-by-step explanation:
The given expression is "3x to the power of 3 + 21x squared + 36x = 0".
We can write this expression as follows :

Taking 3x common.

x = 3

Hence, the solution of the given quadratic equation are x = 0, -4 and -3.
Answer:
Volume of round cake pan = volume of cylinder
Volume of a cylinder =
(where r is the radius and h is the height)
Radius =
diameter ⇒ 
⇒ volume of round cake pan = 
= 76.97 in³ (nearest hundredth)
Volume of rectangular cake pan = volume of rectangular prism
volume of rectangular prism =
(where w is the width, l is the length and h is the height)
⇒ volume of rectangular cake pan = 6 x 9 x 2 = 108 in³
As 108 > 76.97, the rectangular cake pan has a larger volume