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:
Option B. 4<=x<=6 is the solution set.
Answer:
14.14
Step-by-step explanation:
Recall :
The sides of a square are always equal ;
Since all sides are equal, the the diagonal of the square will be :
XZ² = XY² + WX²
XZ² = 20² + 20²
XZ² = 400 + 400
XZ² = 800
XZ = √800
XZ = 28.28
WY = XZ
WV = 1/2 WY
WV = 1/2 * 28.28
WV = 14.14
In the
plane, we have
everywhere. So in the equation of the sphere, we have

which is a circle centered at (2, -10, 0) of radius 4.
In the
plane, we have
, which gives

But any squared real quantity is positive, so there is no intersection between the sphere and this plane.
In the
plane,
, so

which is a circle centered at (0, -10, 3) of radius
.
It means that it is a rate that is decreasing or declining.