1) This probability is given by
... C(40,5)·0.12⁵·0.88³⁵ ≈ 0.18665 . . . . . where C(n, k) = n!/(k!(n-k)!)
2) This probability is given by
... 0.88⁴⁰ ≈ 0.00602
3) This is the complement of the probability that all have failed.
... 1 - 0.12⁴⁰ ≈ 1.0000
Refer to the diagram shown below.
The velocity of the person on the walkway relative to the ground is the velocity of the walkway (relative to the ground) plus the velocity of the person relative to the walkway.
It is
1.0 + 0.5 = 1.5 m/s
The person on the ground moves at - 0.2 m/s, which is in the opposite direction to that of the walkway and the person on the walkway.
Therefore the velocity of the person on the walkway relative to the person on the ground is
105 - (-0.2) = 1.7 m/s
Answer: 1.7 m/s
Answer
16/9
Step-by-step explanation:
I don't know if this is right or not and I'm sry if its wrong
but 16/9 divided by 4 = 9/4
Answer:
1. 301.6 
2. 576 
3. 274.41 
Step-by-step explanation:
We know that the diameter of one of the spheres must be 4 in, because the length of the box is 12 in and there are 3 spheres along each side, and
. That means that the radius of a sphere is 2 in. Put 2 into the formula for the volume of a sphere, and then multiply your solution by 9, to get the total volume.
Then, you can find the volume of the box, because you know its dimentions are 12x12x4.
Subtract your answer for part 1 from your answer for part 2, and you have the solution to part 3. Hope this helps!! :-)
You can rent a paddleboat at Lake Isabel. The cost is $15 for the first hour - then $9 for each hour after that. Use this information to complete the following: Write an equation in slope intercept form that represents the cost (y) of the rental based on the number of hours (x) you rent it. b) What is the y intercept of your equation? c) What does this mean in the context of the situation? d) What is the slope of your equation? e) What does this number mean in the context of the situation? f) Graph the line that is represented by your equation. Make sure to clearly label the axis. g) How much will it cost to rent the paddleboat for 4 hours? Show how you found your answer algebraically. Also show and explain where this information can be found on your graph.