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:

Compute the probability of assembling the product between 7 to 9 minutes as follows:


![=\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)


Thus, the probability of assembling the product between 7 to 9 minutes is 0.50.
Answer:7.8cm
Step-by-step explanation:
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Answer:
15 feet = Length
Step-by-step explanation:
The area of a rectangle is:
Area = Length x Width
The Area is given as 180 square feet (ft2) and the width is given as 12 feet. Let's plug those values into the Area formula to find the length:
Area = Length x Width
180 = Length x 12
Divide both sides of the equation by 12:
180/12 = Length
15 feet = Length