Answer:
B) { 51, 149, 140 }
C) { 16, 63, 65 }
Step-by-step explanation:
We need to choose Pythagoras theorem formula
now, we can verify each options
option-A:
a=1
b=1
c=1
now, we can verify formula
We can see that left side is not equal to right side
so, this is FALSE
option-B
a=51
b=140
c=149
now, we can verify formula
We can see that left side is equal to right side
so, this is TRUE
option-C
a=16
b=63
c=65
now, we can verify formula
We can see that left side is equal to right side
so, this is TRUE
option-D:
a=6
b=8
c=11
now, we can verify formula
We can see that left side is not equal to right side
so, this is FALSE
60+60×0+1= 61
So your answer is 61.
Hope I Helped!!!
Let 3<em>n</em> + 1 denote the "number" in question. The claim is that
(3<em>n</em> + 1)² = 3<em>m</em> + 1
for some integer <em>m</em>.
Now,
(3<em>n</em> + 1)² = (3<em>n</em>)² + 2 (3<em>n</em>) + 1²
… = 9<em>n</em>² + 6<em>n</em> + 1
… = 3<em>n</em> (3<em>n</em> + 2) + 1
… = 3<em>m</em> + 1
where we take <em>m</em> = <em>n</em> (3<em>n</em> + 2).
Answer:
The correct option is C:
C) The representative sample contained more girls than boys.
Step-by-step explanation:
It is given that a random sample is chosen from a total students of 160 students. The sample can be of 10,15 or any small numbers of students as compared to 160. However, a sample cannot be of 160 students as it is defined as a population in this case.
A random sample is always unbiased. Which means that the sample chosen should have around the same proportion of girls to boys as it is in the population of 160.
We know that:
Total boys in 160 = 65
Total girls in 160 = 95
Proportion of girls to boys = 95/65 = 1.462
Which means that for every 1 boy, there are 1.462 of girls.
The same ratio is held in a random sample, hence the total number of girls will be greater than boys
Answer: 2cm
Step-by-step explanation:
