if each side is 8 it equals 64
if each side is 6 it equals 48
if each side is 4 it equals 32
if each side is 3 it equals 24
hope i helped
We have to assume that he does all this with his eyes closed, and so his selections are completely random.
-- There are 26 socks in the drawer all together.
-- 10 of them are black or brown.
-- So the probability that he pulls out
either a black sock or a brown one is
10/26 = 5/13 = about 38.5% .
-- He puts it back, so there are still 26 socks in the drawer.
-- 16 of them are white.
-- So now, the probability of pulling out a white one is
16/26 = 8/13 = about 61.5% .
The probability of the whole process happening
just exactly as you described it is
(10/26) x (16/26)
= (5/13) x (8/13)
= (40) / (13²) = 40/169 = about 23.7% .
Quick check:
We got 38.5% the first time, and 61.5% the second time.
(38.5%) x (61.5%)
= (0.385 x 0.615)
= 0.2367 ==> 23.7% <== yay! that's good enough for me
Answer:
50 deg
Step-by-step explanation:
In an right triangle, the acute angles are complementary. That means their measures have a sum of 90 deg.
m<C + m<B = 90
7x - 20 + 4x = 90
11x = 110
x = 10
m<ACB= 7x - 20
m<ACB = 7(10) - 20
m<ACB = 70 - 20
m<ACB = 50
Answer: m<ACB = 50 deg
Answer:
C. The sequence is monotonic and bounded. The limit is 5/9
Step-by-step explanation:
For this case we have the following n term:
And we can find the limit when x tend to infinity:
And we got this:
Now we can divide by n the numerator and denominator like this:
And now we can apply properties of limits and we got this:
And we got:
So then our sequence is bounded by 
By definition a monotonic sequence is a "sequence that is always increasing or decreasing".
For this case if we find:
We see that 
and in general we see that 
. So then the ebst answer for this case is:
C. The sequence is monotonic and bounded. The limit is 5/9
