Answer:
-1
Step-by-step explanation:
Let the cost of 1 notebook be x and the cost of 1 binder be y.
4 notebooks and 3 binders would cost 23.5
Therefore, 4x + 3y = 23.5 (1)
7 notebooks and 6 binders would cost 44.5
Therefore, 7x + 6y = 44.5 (2)
Multiply the first equation by 2.
8x + 6y = 47 (3)
(3) - (2) gives
x = 2.5
Substitute the value of x in (1), we get,
4(2.5) + 3y = 23.5
10 + 3y = 23.5
3y = 23.5 - 10
3y = 13.5
y = 13.5/3
y = 4.5
Hence, cost of 5 notebooks and 3 binders is:
5x + 3y = 5(2.5) + 3(4.5)
= 12.5 + 13.5
= 26
Hence, cost of 5 notebooks and 3 binders is $26.
Answer:
Time taken by the un powered raft to cover this distance is T = 192.12 hr
Step-by-step explanation:
Let speed of boat = u 
Speed of current = v 
Let distance between A & B = 100 km
Time taken in downstream = 32 hours


u + v = 3.125 ------ (1)
Time taken in upstream = 48 hours


u - v = 2.084 ------- (2)
By solving equation (1) & (2)
u = 2.6045 
v = 0.5205 
Now the time taken by the un powered raft to cover this distance

Because un powered raft travel with the speed of the current.

T = 192.12 hr
Therefore the time taken by the un powered raft to cover this distance is
T = 192.12 hr
Answer:
A. 
Step-by-step explanation:
We want to find the Z-score of
if the population mean is
,and the population standard deviation is
.
We use the formula:

We substitute the values to obtain:



The correct answer is A.