Answer:

Step-by-step explanation:
Sample size 52 card
Pay for J or Q 
Pay for King or Ace 
Pay for others 
Therefore
Probability of drawing J or Q

Probability or drawing King or Ace

Probability or drawing Other cards

Therefore
Expected Gain is mathematically given as



Remember

note that if

is a perfect cube then

is also a perfect cube when c is an integer

so if a number is a perfect cube then the power must be divisible by 3
8 is not divisible by 3
24 is divisible by 3
26 is not divisibley by 3
64 is not divisible by 3
the perfect cube is y^24
A star is written to show multiplication. It is a replacement for a dot or a x which is what you probably learned to be the "times" sign. In upper level maths, the "x" is replaced with a " * " to make it more legible and to avoid confusion with the variable "x".
Answer:
d = 
Step-by-step explanation:
Given that W varies jointly as L and d² then the equation relating them is
W = kLd² ← k is the constant of variation
To find k use the condition W = 140 when d = 4 and L = 54, thus
140 = k × 54 × 4² = 864k ( divide both sides by 864 )
= k , that is
k = 
W =
Ld² ← equation of variation
Multiply both sides by 216
216W = 35Ld² ( divide both sides by 35L )
= d² ( take the square root of both sides )
d = 