X=2y-3 Problem: 2y-x=-3
2y-2y-3=-3
combine your variables
then you'll get something like this
-3=-3
So then it's an infinite answer
Answer:
√85
Step-by-step explanation:
The given shape is a right angled triangle.
Let the missing side length be " x ".
By Pythagoras theorem,
x² = 6² + 7²
x² = 36 + 49
x² = 85
x = √85
Therefore, the missing side length be √85.
(1 point) let a=(2,4,−5)a=(2,4,−5), b=(−3,6,−5)b=(−3,6,−5), c=(−8,7,0)c=(−8,7,0), and d=(−3,5,0)d=(−3,5,0). find the area of the
maksim [4K]
Areas and volumes of parallelograms and parallelepipeds in 3 dimensions are often easily found by making use of the cross product of the direction vectors of their edges. For edge vectors v1 and v2 of a triangle, the area is ...
... A = (1/2)║v1 × v2║
that is, half the norm of the cross-product vector. The area of a parallelogram with those edge vectors is simply ...
... A = ║v1 × v2║
Here, direction vectors are ...
- ab = (-5, 2, 0)
- bc = (-5, 1, 5)
- cd = (5, -2, 0)
- da = (5, -1, -5)
We can see that ab = -cd and bc = -da, as required for a parallelogram.
The cross product ab × bc is (10, 25, 5), so the area of the parallelogram is
... ║(10, 25, 5)║ = √(10² +25² +5²) = √750
... Area = 5√30 ≈ 27.3861 . . . . square units (parallelogram area)
The areas of each of the mentioned triangles is half the area of the parallelogram, so is
... Area Δabc = Area ∆abd = (5/2)√30 ≈ 13.6931 . . . . square units (triangles)
Answer:
The probability that the time between the next two calls is between 3 minutes and 7 minutes is 0.2442.
Step-by-step explanation:
Let <em>X</em> = time between calls made to Amazon's customer service.
The average time between calls is, <em>β</em> = 10 minutes.
The random variable <em>X</em> follows an Exponential distribution with parameter ![\lambda=\frac{1}{\beta}=\frac{1}{10}=0.10](https://tex.z-dn.net/?f=%5Clambda%3D%5Cfrac%7B1%7D%7B%5Cbeta%7D%3D%5Cfrac%7B1%7D%7B10%7D%3D0.10)
The probability distribution function of <em>X</em> is:
![f_{X}(x)=\left \{ {{\lambda e^{-\lambda x};\ x>0}} \atop {0;\ otherwise}} \right.](https://tex.z-dn.net/?f=f_%7BX%7D%28x%29%3D%5Cleft%20%5C%7B%20%7B%7B%5Clambda%20e%5E%7B-%5Clambda%20x%7D%3B%5C%20%20%20x%3E0%7D%7D%20%5Catop%20%7B0%3B%5C%20otherwise%7D%7D%20%5Cright.)
Compute the probability that the time between the next two calls is between 3 minutes and 7 minutes as follows:
![P(3](https://tex.z-dn.net/?f=P%283%3CX%3C7%29%3D%5Cint%5Climits%5E%7B7%7D_%7B3%7D%20%7B%5Clambda%20e%5E%7B-%5Clambda%20x%7D%7D%20%5C%2C%20dx%20%5C%5C%3D%5Clambda%20%5Cint%5Climits%5E%7B7%7D_%7B3%7D%20%20%7Be%5E%7B-%5Clambda%20x%7D%7D%20%5C%2C%20dx%5C%5C%3D%5Clambda%20%5Ctimes%20%7C%5Cfrac%7Be%5E%7B-%5Clambda%20x%7D%7D%7B-%5Clambda%7D%7C%5E%7B7%7D_%7B3%7D%5C%5C%3D%7C-e%5E%7B-%5Clambda%20x%7D%7C%5E%7B7%7D_%7B3%7D%5C%5C%3D-e%5E%7B-0.10%5Ctimes%207%7D%2Be%5E%7B-0.10%5Ctimes%203%7D%5C%5C%3D-0.49659%2B0.74081%5C%5C%3D0.24422%5C%5C%5Capprox0.2442)
Thus, the probability that the time between the next two calls is between 3 minutes and 7 minutes is 0.2442.
ANSWER: it’s a square. All sides will look the same after turning because all sides LOOK THE SAME lol.