Hello!
You have to add how many trials he did
41 + 19 + 28 + 12 = 100
Now you look for the box that has 6 and tails
It has a 12 in it
You do 12/100
This can be reduced to 3/25
The answer is A
Hope this helps!
Answer:
Any picture?
Step-by-step explanation:
Answer:
(a) V = ∫₂⁵ π ((ln(x))² + 14 ln(x)) dx
(b) V = ∫₂⁵ 2π (x − 1) ln(x) dx
Step-by-step explanation:
We know the region is the area 0 ≤ y ≤ ln(x) from x=2 to x=5.
(a) Revolve around the line y=-7, and we get a hollow cylinder on its side. Slice vertically into thin washers. The thickness of each washer is dx. The inside radius is r = 0 − (-7) = 7. The outside radius is R = ln(x) − (-7) = ln(x) + 7. The volume of each washer is:
dV = π (R² − r²) t
dV = π ((ln(x) + 7)² − 7²) dx
dV = π ((ln(x))² + 14ln(x) + 49 − 49) dx
dV = π ((ln(x))² + 14 ln(x)) dx
The total volume is the sum of all the washers from x=2 to x=5:
V = ∫ dV
V = ∫₂⁵ π ((ln(x))² + 14 ln(x)) dx
(b) Rotate about x = 1, and we get a hollow cylinder standing upright. Slice into cylindrical shells. The thickness of each shell is dx. The radius of each shell is r = x − 1. The height of each shell is ln(x). The volume of each shell is:
dV = 2π r h t
dV = 2π (x − 1) ln(x) dx
The total volume is the sum of all the shells from x=2 to x=5.
V = ∫ dV
V = ∫₂⁵ 2π (x − 1) ln(x) dx
Answer:
The answer is below
Step-by-step explanation:
a) For the person to get to New York city, the person must arrive at a time after the train to Boston has left and before the train to New York leaves. Between 7 and 8 am, there is a total of 60 minutes. For the person end up in New York city he has to arrive at the train station between the following intervals:
7:05 to 7:15 or 7:20 to 7:30 or 7:35 to 7:45 or 7:50 to 8:00
Let X represent the minutes the passenger arrives between 7 am to 8 am, hence:
P(goes to New York) = P(5 < X < 15) + P(20 < X < 30) + P(35 < X < 45) + P(50 < X < 60) = 10/60 + 10/60 + 10/60 + 10/60 = 40/60 = 2/3
b) As explained in part A, Let X represent the minutes the passenger arrives between 7 am to 8:10 am. But since time uniformly distributed between 7:10 and 8:10 am, this means 10 < X < 70:
For the person end up in New York city he has to arrive at the train station between the following intervals:
7:10 to 7:15 or 7:20 to 7:30 or 7:35 to 7:45 or 7:50 to 8:00 or 8:05 to 8:10
P(goes to New York) = P(10 < X < 15) + P(20 < X < 30) + P(35 < X < 45) + P(50 < X < 60) + P(65< X <70)= 5/60 + 10/60 + 10/60 + 10/60 + 10/60 + 5/60= 40/60 = 2/3
Answer:
It's gonna be C and good luck!