Answer:
14 dimes and 4 quarters
Step-by-step explanation:
x= number of dimes
y=number of quarters
x-10=y
0.10x+0.25y=2.40
substitute for y
0.10x+0.25(x-10)=2.40
0.35x-2.50=2.40
0.35x=4.90
x=14
y=4
3 : 3 times 6 is 18, 2 times 9 is 18 and 3 times 3 is 9 plus 9 is 18
In probability 2 events are independent if the occurrence of 1 event does not affect the occurrence of the other event. Mathematically, if event A and event B are independent, then
. For our two events in this problem we have that
and
. If these two events are independent, then we should have that,
![P(A\&B)=P(A)\times P(B)\\P(A\times B)=0.25\times 0.4=0.1.](https://tex.z-dn.net/?f=P%28A%5C%26B%29%3DP%28A%29%5Ctimes%20P%28B%29%5C%5CP%28A%5Ctimes%20B%29%3D0.25%5Ctimes%200.4%3D0.1.)
.A and B are independent events if the probability of A and B is 0.1
“Above the door” is the prepositional phrase but I can’t help you you it’s the second part, sorry.