Answer:
The probability of assembling the product between 7 to 9 minutes is 0.50.
Step-by-step explanation:
Let <em>X</em> = assembling time for a product.
Since the random variable is defined for time interval the variable <em>X</em> is continuously distributed.
It is provided that the random variable <em>X</em> is Uniformly distributed with parameters <em>a</em> = 6 minutes and <em>b</em> = 10 minutes.
The probability density function of a continuous Uniform distribution is:
![f_{X}(x)=\left \{ {{\frac{1}{b-a};\ a](https://tex.z-dn.net/?f=f_%7BX%7D%28x%29%3D%5Cleft%20%5C%7B%20%7B%7B%5Cfrac%7B1%7D%7Bb-a%7D%3B%5C%20a%3CX%3Cb%2C%5C%20a%3Cb%7D%20%5Catop%20%7B0%3B%5C%20otherwise%7D%7D%20%5Cright.)
Compute the probability of assembling the product between 7 to 9 minutes as follows:
![P(7](https://tex.z-dn.net/?f=P%287%3CX%3C9%29%3D%5Cint%5Climits%5E%7B9%7D_%7B7%7D%7B%5Cfrac%7B1%7D%7B10-6%7D%7D%5C%2C%20dx%5C%5C)
![=\frac{1}{4}\times \int\limits^{9}_{7}{1}\, dx](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B4%7D%5Ctimes%20%5Cint%5Climits%5E%7B9%7D_%7B7%7D%7B1%7D%5C%2C%20dx)
![=\frac{1}{4}\times [x]^{9}_{7}\\](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B4%7D%5Ctimes%20%5Bx%5D%5E%7B9%7D_%7B7%7D%5C%5C)
![=\frac{1}{4}\times (9-7)\\](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B4%7D%5Ctimes%20%289-7%29%5C%5C)
![=\frac{1}{2}\\=0.50](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%5C%5C%3D0.50)
Thus, the probability of assembling the product between 7 to 9 minutes is 0.50.
Answer:
9/4
Step-by-step explanation:
if you use cross multiplication you can see that it would cross eachother out and becom one plz vote brainliest
Answer:
![x=8](https://tex.z-dn.net/?f=x%3D8)
Step-by-step explanation:
![3x-5=19\\](https://tex.z-dn.net/?f=3x-5%3D19%5C%5C)
The first step is to add -5 to both sides:
![(3x-5)+5=19+5\\3x=24](https://tex.z-dn.net/?f=%283x-5%29%2B5%3D19%2B5%5C%5C3x%3D24)
The next step is to divide 3 on both sides:
![\frac{3x}{3} =\frac{24}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3x%7D%7B3%7D%20%3D%5Cfrac%7B24%7D%7B3%7D)
![x=8](https://tex.z-dn.net/?f=x%3D8)
Answer:
Step-by-step explanation:
Here is how you divide the polynomial given above.
Firstly, divide 24x5 by 8x2 and you get 3x3.
Next, divide 8x4 by 8x2 and you get x2.
Lastly, you divide -16x3 by 8x2 and you get -2x.
So the quotient would be this: 3x^3+x^2-2x. Hope this is the answer that you are looking for. Have a great day!