Answer: 5^5=52
Step-by-step explanation:
Answer:
4 hours
Step-by-step explanation:
The general formula for distance, rate and time is:
d = rt, where distance is the product of rate multiplied by time
Given that one train is moving at a rate of 70 mph and one is moving at a rate of 62 mph in the opposite direction, the combined distance over time is equal to 528 miles. Using the variable 't' for time:
70t + 62t = 528
Combine like terms: 132t = 528
Divide both sides by 132: 132t/132 = 528/132 or t = 4 hours
Solution :
Let A = Economics, B = Mathematics
n(A) = 311, n(B) = 243, ![$n(A \cap B) = 135$](https://tex.z-dn.net/?f=%24n%28A%20%5Ccap%20B%29%20%3D%20135%24)
a). So, ![$n(A \cup B) = n(A) +n(B) - n(A \cap B)$](https://tex.z-dn.net/?f=%24n%28A%20%5Ccup%20B%29%20%3D%20n%28A%29%20%2Bn%28B%29%20-%20n%28A%20%5Ccap%20B%29%24)
= 311 + 243 - 135
= 419
b). n(A only) = 311 - 135
= 176
n(B only) = 243 - 135
= 108
Exactly one of these two courses
![$=\frac{176+108}{500}$](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B176%2B108%7D%7B500%7D%24)
= 0.568
c). Neither economics nor mathematics
![$=\frac{500-419}{500} $](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B500-419%7D%7B500%7D%20%24)
![$=\frac{81}{500}$](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B81%7D%7B500%7D%24)
= 0.162
The correct answer is the fourth one