Since the order of selection does not matter, we will use combinations to solve this problem.

We are to form the combination of 30 objects taken 6 at a time. This can be expressed as 30C6.

$30C6= \frac{30!}{6!*24!} \\ \\ 
= 593775$

This means the six teachers can be selected in 593775 ways.

So the correct answer is option A

3 0

2 years ago

What time is 7 1/2 hours before 2:12 am

Vlad1618 [11]

6:42 pm bc subract 2 hours is 12:12am and then subtract the rest is 7:12pm then you subract 12 minutes is 7 pm the subtract the 18 minutes left is 6:42 pm

4 0

2 years ago

What is the inverse of the function f(x) = 2x - 10?

aliya0001 [1]

Answer:

$h(x) = \frac{1}{2} x+ 5$

Step-by-step explanation:

To find the inverse of a function, simply switch the 'x' and 'y' variables. Substitute in 'y' in the place of f(x) for this purpose:

y = 2x - 10

Switch positions:

x = 2y - 10

Add '10' to both sides to begin simplifying:

x + 10 = 2y

Divide both sides by 2:

$y= \frac{x+10}{2}$

This can be rewritten as:

$y = \frac{1}{2} x+ 5$

Therefore, the inverse of the function is:

$h(x) = \frac{1}{2} x+ 5$

5 0

2 years ago