Let the speed of the current be y and the speed of Micah's sailing speed be x. Then 4.48/(x + y) = 0.32
4.48/(x - y) = 0.56
0.32x + 0.32y = 4.48 . . . (1)
0.56x - 0.56y = 4.48 . . . (2)
(1) x 7 => 2.24x + 2.24y = 31.36 . . . (3)
(2) x 4 => 2.24x - 2.24y = 17.92 . . . (4)
(3) - (4) => 4.48y = 13.44
y = 3
From (1), 0.32x + 0.32(3) = 4.48
0.32x = 4.48 - 0.96 = 3.52
x = 3.52/0.32 = 11
Therefore, the speed of the current is 3 miles per hour.
There would be 20 ounces of juice in a container in 6 seconds.
Hope This Helps!
It looks like you're given

Then by the additivity of definite integrals this is the same as

(presumably this is what the hint suggests to use)
Then by the fundamental theorem of calculus, we have

7 minutes is the answer but check with the teacher first
Answer:
P[(X=n+k)] ∩ X>n)] =P[X=K]
Step-by-step explanation:
If X is a geometric random variable then
for success probability = p
so for failure q= 1-p
Now as given

Now for the P parameter we have
x∈{1,2,3,....∞}
![P [X=K] = (1-P)^{K-1}P_{}](https://tex.z-dn.net/?f=P%20%5BX%3DK%5D%20%3D%20%281-P%29%5E%7BK-1%7DP_%7B%7D)
![P [X=n+K] = (1-P)^{n+K-1}P_{}](https://tex.z-dn.net/?f=P%20%5BX%3Dn%2BK%5D%20%3D%20%281-P%29%5E%7Bn%2BK-1%7DP_%7B%7D)
![p[\frac{X=n+K}{X>h}]=\frac{[(X=n+K)n,X>n]}{P(X>n)}](https://tex.z-dn.net/?f=p%5B%5Cfrac%7BX%3Dn%2BK%7D%7BX%3Eh%7D%5D%3D%5Cfrac%7B%5B%28X%3Dn%2BK%29n%2CX%3En%5D%7D%7BP%28X%3En%29%7D)



P[(X=n+k)] ∩ X>n)] = P(X=n+K)
P[(X=n+k)] ∩ X>n)] = 
P[(X=n+k)] ∩ X>n)] = 
P[(X=n+k)] ∩ X>n)] =P[X=K]