Answer:
Step-by-step explanation:
From the given information:
There are 30 collections of gems, of which 8 are worthless;
Thus, the number of the genuine diamonds = 30 - 8 = 22.
Let X = random variable;
X consider the value as 0 (for 2 worthless stone selection),
X = 1200(1 worthless stone & 1 genuine stone)
X = 2400 (2 genuine stones selected)
However, the numbers of ways of selecting and chosen Gems can be estimated as:

Thus;








To find E(X):
E(X) = (0 × 0.0644) + (1200 × 0.4046) + (2400 × 0.5310)
E(X) = 0 + 485.52 + 1274.4
E(X) = 1759.92
Answer:
The remainder is zero
Step-by-step explanation:
To find the remainder we will use the long division
⇒(1)
⇒(2)
⇒(3)
From (1) , (2) and (3)
The quotient of the long division is
and no remainder
So the remainder is zero
* If you want to check your answer Multiply the quotient by the divisor

Answer:
Required equation of tangent plane is
.
Step-by-step explanation:
Given surface function is,
To find tangent plane at the point (5,-1,1).
We know equation of tangent plane at the point $(x_0,y_0,z_0)[/tex] is,

So that,



Substitute all these values in (1) we get,


Which is the required euation of tangent plane.
The Answer is:
(5a2-3a+8)+(-4a2-1)+(15a+11)
Let t, h, b represent the weighs of tail, head, and body, respectively.
t = 4 . . . . given
h = t + b/2 . . . . the head weighs as much as the tail and half the body
b/2 = h + t . . . . half the body weighs as much as the head and tail
_____
Substituting for b/2 in the second equation using the expression in the third equation, we have
... h = t + (h + t)
Subtracting h from both sides gives
... 0 = 2t . . . . . . in contradiction to the initial statement about tail weight.
Conclusion: there's no solution to the problem given here.