That would be
![x = + \frac{ \sqrt[]{3} }{ \sqrt[]{2} }](https://tex.z-dn.net/?f=x%20%3D%20%20%2B%20%5Cfrac%7B%20%5Csqrt%5B%5D%7B3%7D%20%7D%7B%20%5Csqrt%5B%5D%7B2%7D%20%7D%20)
BTW the plus sign is supposed to have this sign underneath it _
Good luck.
At least about 20 points it can depend on the class but not really.
Step-by-step explanation:
let us give all the quantities in the problem variable names.
x= amount in utility stock
y = amount in electronics stock
c = amount in bond
“The total amount of $200,000 need not be fully invested at any one time.”
becomes
x + y + c ≤ 200, 000,
Also
“The amount invested in the stocks cannot be more than half the total amount invested”
a + b ≤1/2 (total amount invested),
=1/2(x + y + c).
(x+y-c)/2≤0
“The amount invested in the utility stock cannot exceed $40,000”
a ≤ 40, 000
“The amount invested in the bond must be at least $70,000”
c ≥ 70, 000
Putting this all together, our linear optimization problem is:
Maximize z = 1.09x + 1.04y + 1.05c
subject to
x+ y+ c ≤ 200, 000
x/2 +y/2 -c/2 ≤ 0
≤ 40, 000,
c ≥ 70, 000
a ≥ 0, b ≥ 0, c ≥ 0.
Answer:
2. 1- Experimental probability of rolling a 4 = 40%
3. 2- Theoretical probability is 3% greater than experimental probability.
Step-by-step explanation:
Experimental probability of rolling a 4 = 100 × 
= 100 × 0.4
= 40%
Experimental probability of getting at least one tail = 
= 0.72
Theoretical probability of getting at least one tail = 
= 0.75
Theoretical probability is 3% greater than experimental probability.