<span>If "ALABAMA" were written so that the A's were of different colors, the number of permutations would be 7!. However,
since the four A's look exactly alike in "ALABAMA", the number of
distinguishable permutations is much smaller. So what we do is start
with the 7! arrangements of "ALABAMA", and divide by the number of ways
the four A's can be arranged within each permutation, so that in effect
they will all be counted only once.
So the answer is
=7!/4!
</span><span>=5040/24
= 210. </span>
Answer:
In the figure, ABO and BCO equal to 35
Step-by-step explanation:
169/3=56.34
169/4=42.25
169/6=28.17
Hope I helped :-)
Answer:
y = 5x - 3
Step-by-step explanation:
As we move from the point (-2, -13) to the point (1, 2), we see the x-value (the 'run') increasing by 3 and the y-value (the 'rise') increasing by 15. Therefore the slope of the line passing thru these two points is m = rise / run = 15/3, or m = 5.
Using the slope-intercept formyula y = mx + b, we find the y-intercept as follows, using 1 for x, 2 for y and 5 for m:
2 = 5(1) + b, or
b = -3
Then the desired equation is
y = 5x - 3
A simple algebra equation!
You have to replace each x with 4, so the equation would look like this:
-4·4+1.5·4-2.5-2·4-6.5
Evaluate the terms, you get:
-16+6-2.5-8-6.5
Then you add and subtract where needed:
-10-16 = -27
And that's the final answer!
ANSWER: 27