Answer:
Every group of 6 people has at least two uniform 3-person groups.
Step-by-step explanation:
Denote the 6-people by 6-vertices and draw a blue edge between 2-edges. If the two persons representing the vertices are friends. Otherwise, draw a red edge. This gives rise to a colored graph K6, edges arecolored with either blue or red.
There can exist at most 36 mips. so, multicolor triangles can exist at most 36/2 = 18 multicolor triangles.
If there are 20-triangle in graph. Therefore, every graph of 6-people has at least two uniform 3-person groups.
Answer:
Step-by-step explanation:
Assuming a normal distribution for the distribution of the points scored by students in the exam, the formula for normal distribution is expressed as
z = (x - u)/s
Where
x = points scored by students
u = mean score
s = standard deviation
From the information given,
u = 70 points
s = 10.
We want to find the probability of students scored between 40 points and 100 points. It is expressed as
P(40 lesser than x lesser than or equal to 100)
For x = 40,
z = (40 - 70)/10 =-3.0
Looking at the normal distribution table, the corresponding z score is 0.0135
For x = 100,
z = (100 - 70)/10 =3.0
Looking at the normal distribution table, the corresponding z score is 0.99865
P(40 lesser than x lesser than or equal to 100) = 0.99865 - 0.0135 = 0.98515
The percentage of students scored between 40 points and 100 points will be 0.986 × 100 = 98.4%
Answer: It is 7
Step-by-step explanation:
The irrational numbers are: √8, √10 and √15
Step-by-step explanation:
A rational number is a number that can be written in the form p/q where p&q are integers and q≠0.
"All the numbers whose square root is not a whole number and has an infinite number of digits after decimal, are irrational numbers"
So in the given options
Which can be written in the required form so √4 is a rational number
√8 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number
√10 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number
√15 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number
Which can be written in the required form so √36 is a rational number
Hence,
The irrational numbers are: √8, √10 and √15
Keywords: Rational numbers, Irrational numbers
Learn more about rational numbers at:
#LearnwithBrainly
They do not mean the same thing:
4 in 4000 stands for 4 thousands
4 in 400 stands for 4 hundreds.
You can see, that first '4' means 4 000, while the second one means 400, so the first one is 10 times greater.
