Answer:
6 2/4 is a mixed fraction and 1/6 is not.
Step-by-step explanation:
Answer:
The answer is 386 feet.
Step-by-step explanation:
This equation simply asks to plug in a value that gives you the final value of the height. 450 is the initial height, and r (or l) is referred to as the amount of seconds after the item is dropped. 16 is the constant value of feet that the ball drops within one second.
Therefore, by substituting 4 for r (or l) and multiplying it by 16, you will receive 64 feet in 4 seconds. Finally, you need to subtract this from 450 feet, giving you a final answer of 386 feet.
This is a simple problem
First, take common sense and apply it here. The problem doesn't specifically tell you what the shape ACTUALLY is, but we can also apply what we know about geometry here, as well as what we know in general. Fish tanks most commonly come in 2 shapes: Square's and Rectangles. Fish tanks are what we call "3D" objects (meaning it's just not flat like a piece of paper", and the shapes are known as "Cubes and Rectangular Prisms".
Well, we know that squares/cubes have to have even sides. The problem states the tank is 5(l) by 2(w) by 2(h). This means it CAN'T be a cube, thus meaning it's a rectangular prism.
Now, to calculate volume, we have to know the formula. For this, the formula for volume is as follows: V=lwh
This means Volume=Length*Width*Height
So, do replace the words with what you know you already have. Let's make a list:
Length=5
Width=2
Height=2
V=lwh-----V=5*2*2
Now, work it out. 5*2=10*2=20, Left to right
Your answer here is V=20
~Hope this helps!
Answer:
0.9606 = 96.06% probability that the system will function tomorrow
Step-by-step explanation:
For each component, there are only two possible outcomes. Either it works, or it does not. Components are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Probability of a component working:
0.7 of 0.2(rain)
0.9 of 1 - 0.2 = 0.8(no rain). So
0.86 - 86% probability that the system will function tomorrow
6 components:
This means that 
What is the probability that the system will function tomorrow
This is
In which
0.9606 = 96.06% probability that the system will function tomorrow
