<span>(2 5/8)+ (1 1/4) = </span>3.875
The probability that the major of one student that is selected at random is engineering can be calculated by the total number of engineering major divided by the total number of students
p = engineering / total students
p = 300 / ( 300 + 700 + 500)
p = 0.2 is the probability of the major of one student is engineering
Answer:
a) 
b) 10
Step-by-step explanation:
a) Here 
Since the case 
= ∇
holds, then
∇
= 
So, 
If we integrate 
with respect to x, we will get an integration constant C which is also a function that depends to y and z.
Hence,
Now we need to find g(y,z).
So first let's take the derivative of g(y,z) with respect to y.
Hence, 
So now, if we integrate 
with respect to y to find g(y,z)
Thus,
And since 
, then 
Thus,
b) By the Fundamental Theorem of Line Integrals, we know that
![\int\limits^a_b F. dr = F[r(b)]-F[r(a)]](https://tex.z-dn.net/?f=%5Cint%5Climits%5Ea_b%20F.%20dr%20%3D%20F%5Br%28b%29%5D-F%5Br%28a%29%5D)
Hence,
![\int\limits^a_b F. dr = F(1,1,1)-F(0,0,0) =[(5+1+4)-(0+0+0)]=10](https://tex.z-dn.net/?f=%5Cint%5Climits%5Ea_b%20F.%20dr%20%3D%20F%281%2C1%2C1%29-F%280%2C0%2C0%29%20%3D%5B%285%2B1%2B4%29-%280%2B0%2B0%29%5D%3D10)
When both sides of the equation are simplified, the coefficients are the same.
Step-by-step explanation:
An equation has infinite solutions when both sides of the equation are simplified, the coefficients are the same
There are many answers, but one is 3.654
