Answer:
Probability that song selected after first selection is rock = 2/7
Probability that song selected from the remaining after second selection is country rock = 1/2
Step-by-step explanation:
Total number of songs = 7
After first selection, probability that the song selected is rock = 2/7
After second selection, probability that the song selected from the remaining is a country song = 3/6 = 1/2
Answer:
Step-by-step explanation:
12 inches is in a foot
10 x 7= 70
2 x 7= 14
70+14=84
Looks like the given limit is

With some simple algebra, we can rewrite

then distribute the limit over the product,

The first limit is 0, since 1/3ⁿ is a positive, decreasing sequence. But before claiming the overall limit is also 0, we need to show that the second limit is also finite.
For the second limit, recall the definition of the constant, <em>e</em> :

To make our limit resemble this one more closely, make a substitution; replace 9/(<em>n</em> - 9) with 1/<em>m</em>, so that

From the relation 9<em>m</em> = <em>n</em> - 9, we see that <em>m</em> also approaches infinity as <em>n</em> approaches infinity. So, the second limit is rewritten as

Now we apply some more properties of multiplication and limits:

So, the overall limit is indeed 0:

Answer:
903 offices
Step-by-step explanation:
Total number of officers in the sky scraper
= 26 + 31 + [(49-2)×18]
= 26 + 31 + 846
= 903 offices