Let the least possible value of the smallest of 99 cosecutive integers be x and let the number whose cube is the sum be p, then

By substitution, we have that

and

.
Therefore, <span>the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube is 314.</span>
Given:
AD is an angle bisector in triangle ABC.
.
To find:
The value of
.
Solution:
AD is an angle bisector in triangle ABC.



According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.
Using angle sum property in triangle CAD, we get





Therefore, the angle of angle ADC is
.
For this case we have to by definition, if two lines are perpendicular then the product of its slopes is -1.
That is to say:

We have the following equation:

So:

Thus:

Thus, a line perpendicular to the given line must have slope 
Option A:

It is not perpendicular!
Option B:

If it is perpendicular!
Option C:

It is not perpendicular!
Option D:

It is not perpendicular!
The correct option is option B
ANswer:
Option B
The values of A are 2,2,4,5,5,6,7,7,8,10
There are 10 values which means that the Mean=Sum/10
=(2+2+4+5+5+6+7+7+8+10)/10
=56/10
=5.6
Answer:
There is a 0.57% probability that a randomly selected nanny who was placed during the last year is a male nanny (a "mannie").
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that:
Desired outcomes:
The number of male nannies selected. 24 of the nannies placed were men. So the number of desired outcomes is 24.
Total outcomes:
The number of nannies selected. 4,176 nannies were placed in a job in a given year. So the number of total outcomes 4176.
Find the probability that a randomly selected nanny who was placed during the last year is a male nanny (a "mannie").

There is a 0.57% probability that a randomly selected nanny who was placed during the last year is a male nanny (a "mannie").