Answer:
1 is c
2 is d
3 is a
Step-by-step explanation:
Sorry it took a bit not pretty good at these but i used an app called desmos and it basically gives the answer
If the question is how many shelves are needed, then the answer is 18 shelves.
Answer:
all real numbers
Step-by-step explanation:
As the graph goes up, it keeps going up and to the right. There is nothing telling us it will stop moving to the right at a certain point. It goes up much faster than it goes right, but it keeps going right and up forever. That makes the domain reach positive infinity. The same happens on the left side. As it goes down to the left, it keeps going left forever to negative infinity. That makes the domain all real numbers from negative infinity to positive infinity.
Domain: all real numbers
Answer:
b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The mean of the uniform probability distribution is:
![M = \frac{a + b}{2}](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7Ba%20%2B%20b%7D%7B2%7D)
The standard deviation of the uniform distribution is:
![S = \sqrt{\frac{(b-a)^{2}}{12}}](https://tex.z-dn.net/?f=S%20%3D%20%5Csqrt%7B%5Cfrac%7B%28b-a%29%5E%7B2%7D%7D%7B12%7D%7D)
The probability that we find a value X lower than x is given by the following formula.
![P(X \leq x) = \frac{x - a}{b-a}](https://tex.z-dn.net/?f=P%28X%20%5Cleq%20x%29%20%3D%20%5Cfrac%7Bx%20-%20a%7D%7Bb-a%7D)
Uniform distribution between 2.93 and 3.1 volts
This means that
. So
Mean:
![M = \frac{2.93 + 3.1}{2} = 3.015](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B2.93%20%2B%203.1%7D%7B2%7D%20%3D%203.015)
Standard deviation:
![S = \sqrt{\frac{(3.1 - 2.93)^{2}}{12}} = 0.049](https://tex.z-dn.net/?f=S%20%3D%20%5Csqrt%7B%5Cfrac%7B%283.1%20-%202.93%29%5E%7B2%7D%7D%7B12%7D%7D%20%3D%200.049)
What is the probability that a battery has a voltage less than 2.98?
![P(X \leq 2.98) = \frac{2.98 - 2.93}{3.1 - 2.93} = 0.2941](https://tex.z-dn.net/?f=P%28X%20%5Cleq%202.98%29%20%3D%20%5Cfrac%7B2.98%20-%202.93%7D%7B3.1%20-%202.93%7D%20%3D%200.2941)
So the correct answer is:
b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941
Answer:
30/52
Step-by-step explanation: