Answer:
If a and b are two positive rational numbers such that ab is not a perfect square of a rational number, then ab is an irrational number lying between a and b.
So an irrational number between 3 and 4 is=3×4=3×4=3×2=23
Answer:
probability of picking the winning combination
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Since the order is not important, the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
Desired outcomes:
The correct five numbers from a set of 5. So
![D = C_{5,5} = \frac{5!}{5!0!} = 1](https://tex.z-dn.net/?f=D%20%3D%20C_%7B5%2C5%7D%20%3D%20%5Cfrac%7B5%21%7D%7B5%210%21%7D%20%3D%201)
Total outcomes:
Five numbers from a set of 35. So
![T = C_{35,5} = \frac{35!}{5!30!} = 324632](https://tex.z-dn.net/?f=T%20%3D%20C_%7B35%2C5%7D%20%3D%20%5Cfrac%7B35%21%7D%7B5%2130%21%7D%20%3D%20324632)
Probability:
![p = \frac{D}{T} = \frac{1}{324632}](https://tex.z-dn.net/?f=p%20%3D%20%5Cfrac%7BD%7D%7BT%7D%20%3D%20%5Cfrac%7B1%7D%7B324632%7D)
probability of picking the winning combination
Answer:
5
Step-by-step explanation:
The answer is D)6x2 square units.
A surface area of a cube is a sum of its sides' areas. A side of the cube is a square, and there are total 6 sides of the cube. Also, an area of the side of the cube is the area of the square, which can be expressed as a², where a is the length of the side. Therefore, the surface area (SA) of the cube is:
SA = 6*a² = 6a²
If side length is x, that means that a = x units.
After replacing it in the formula, you will have:
SA = 6a² = 6x² square units