Volume=width*length*height
So the volume is
V=8*6*13=624cm^3
I hope this helped :)
Answer:
d. all real numbers
Step-by-step explanation:
the y will always be all real numbers
Answer:
![6x^2+5x-6=(3x-2)(2x+3)](https://tex.z-dn.net/?f=6x%5E2%2B5x-6%3D%283x-2%29%282x%2B3%29)
Step-by-step explanation:
<u>Given expression</u>:
![6x^2+5x-6](https://tex.z-dn.net/?f=6x%5E2%2B5x-6)
To factor a quadratic in the form
, first find two numbers that multiply to
and sum to
:
![\implies ac=6 \cdot -6=-36](https://tex.z-dn.net/?f=%5Cimplies%20ac%3D6%20%5Ccdot%20-6%3D-36)
![\implies b=5](https://tex.z-dn.net/?f=%5Cimplies%20b%3D5)
Two numbers that multiply to -36 and sum to 5 are: 9 and -4
Rewrite b as the sum of these two numbers:
![\implies 6x^2+9x-4x-6](https://tex.z-dn.net/?f=%5Cimplies%206x%5E2%2B9x-4x-6)
Factorize the first two terms and the last two terms separately:
![\implies 3x(2x+3)-2(2x+3)](https://tex.z-dn.net/?f=%5Cimplies%203x%282x%2B3%29-2%282x%2B3%29)
Factor out the common term (2x + 3):
![\implies (3x-2)(2x+3)](https://tex.z-dn.net/?f=%5Cimplies%20%283x-2%29%282x%2B3%29)
Therefore:
![6x^2+5x-6=(3x-2)(2x+3)](https://tex.z-dn.net/?f=6x%5E2%2B5x-6%3D%283x-2%29%282x%2B3%29)
1st quartile (25%) and the 3rd quartile (75%) values are -0.6745 and 0.6745 respectively. Use this formula z= (x-mean)SD -0.6745 = (x-25.3)/6.5.
x=25.3 - 0.6745(6.5) = 25.3 - 4.3843 = 20.9157 1st Quartile
0.6745 = (x - 25.3) 6.5
x = 25.3 + 0.6745 = 25.3 + 4.3843 = 29.6843 3rd quartile
interquartile range is the difference between the 1st quartile and the 4th quartile
It can be many things such as,
420/2
630/3
840/4