P(taking 2 socks of same cllour) = 1/15
3x²-y³ - y³ - z if x = 3, y = -2, z = -5
Simply plug in all the values :)
3(3²) - (-2³) - (-2³) - (-5)
Simplify.
3(9) + 2³ + 2³ + 5
Simplify.
27 + 8 + 8 + 5
Simplify.
35 + 13
Simplify.
48
~Hope I helped!~
Answer:
Density of steel = 80.73 gm/
Step-by-step explanation:
The figure is made up of cuboid and square pyramid.
Height of cuboid, h = 9 cm
Length of cuboid, l = 6 cm
Width of cuboid, w = 6 cm
Volume of cuboid is given by the formula:


Density of Wood ,
= 0.68g/
We know that formula of Density is:


Putting the values:

Total weight = 
970 = 220.32 
= 749.68 gm
Volume of pyramid is given as:

Base is a square with side 6 cm

Density of Steel/Pyramid:

Splitting up the interval of integration into
subintervals gives the partition
![\left[0,\dfrac1n\right],\left[\dfrac1n,\dfrac2n\right],\ldots,\left[\dfrac{n-1}n,1\right]](https://tex.z-dn.net/?f=%5Cleft%5B0%2C%5Cdfrac1n%5Cright%5D%2C%5Cleft%5B%5Cdfrac1n%2C%5Cdfrac2n%5Cright%5D%2C%5Cldots%2C%5Cleft%5B%5Cdfrac%7Bn-1%7Dn%2C1%5Cright%5D)
Each subinterval has length
. The right endpoints of each subinterval follow the sequence

with
. Then the left-endpoint Riemann sum that approximates the definite integral is

and taking the limit as
gives the area exactly. We have
