Answer: x = -3, 5, 4
Step-by-step explanation:
Don't have time for it
Answer:
sqrt(5)
Step-by-step explanation:
Honestly think this person means to find the magnitude of the vector. You can use dot product here, the vector with itself... But that isn't the last step.
v dot v=4+1=5
and so |v|=sqrt(5)
Answer: OPTION A
Step-by-step explanation:
To simplify the expression you must multiply the numerator and the denominator of the expression by √3.
As all the square roots have equal index, you can multiply the radicands, which are the numbers inside of the sqaures roots.
You also must keep on mind that:
![(\sqrt[n]{a})^n=a](https://tex.z-dn.net/?f=%28%5Csqrt%5Bn%5D%7Ba%7D%29%5En%3Da)
Therefore, you obtain:
![\frac{6\sqrt{2}*\sqrt{3}}{\sqrt{3}*\sqrt{3}}=\frac{6\sqrt[]{6}}{3}=\frac{2\sqrt[]{6}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B6%5Csqrt%7B2%7D%2A%5Csqrt%7B3%7D%7D%7B%5Csqrt%7B3%7D%2A%5Csqrt%7B3%7D%7D%3D%5Cfrac%7B6%5Csqrt%5B%5D%7B6%7D%7D%7B3%7D%3D%5Cfrac%7B2%5Csqrt%5B%5D%7B6%7D%7D%7B3%7D)
A random variable can be either discrete or continuous. It is discrete it can assume only a finite number of values, or a countable infinity of values at most.
It is continuous if it can assume values in an interval, or in general, an uncountable infinity of values.
That being said, we have:
Option A is a discrete random variable, because the number of heads in 5 throws can be 0, 1, 2, 3, 4 or 5. So, we have finitely many possible values.
Option B is a discrete random variable, because the number you roll on a die is either1, 2, 3, 4, 5 or 6. So, we have finitely many possible values.
Option C is a discrete random variable, because if there are n students in a class, the number of boys is an integer between 0 and n. So, we have finitely many possible values.
Option D is finally a continuous random variable, because the height of a 10-year-old can be any number (in a suitable range of course).
Answer In a poligon of n sides can be drawn n-3 diagonals from each vertex.
Explanation The triangle is the first closed polygon, which has three sides and it is not possible to draw any diagonal from a vertex. In a polygon with four sides it is already possible to draw a diagonal from each vertex to the opposite one. Then diagonals = n-3.
