Answer:
D) 504
Step-by-step explanation:
Having 9 members for elect president, vice-president and secretary
Then C₉,₃ = 9! / ( 9 - 3 )! = 9*8*7 = 504
First of all, observe that all fractions exist as long as b is not zero.
Multiply both numerator and denominator of the first fraction by 3:
Now all fractions have the same denominator. Under the assumption that b is not zero, multiply both sides by 3b:
Subtract 3b from both sides:
Subtract 2 from both sides:
Divide both sides by 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
Assuming that the given shape is a cuboid,
volume=l×w×h
v=s³ (since cuboids have same length, they have same side length)
62=s³
∛62=s
s=3.957 ≈ 4 units
Hope I helped :)
