Answer:
$2.64
Step-by-step explanation:
Selling them at 5 cents each ($0.05), he could sell 1 dozen buttons for
12 * $0.05 = $0.60
As he bought them at $0.38 per dozen, the profit per dozen would be
$0.60 - $0.38 = $0.22
As 12 dozen is 1 gross, the profit per gross would be
12 * $0.22 = $2.64
Answer:
Below, depends if 27 is term number 1 or term number 0. Answered for both cases.
Step-by-step explanation:
The most common sequences are arithmetic and geometric, so lets check those first.
Arithmetic first since its the easiest.
to go from 27 to 21 we subtract 6, if we subtract 6 from 21 again we get to 15, which is what we need, so it is indeed arithmetic.
Explicit formula is basically of the form of y=mx+b with an arithmetic sequence. the m is the common difference and b is the first term minus the common difference. so lets fill those in. y = -6x + 33
Then it usually has n as the x and y f(n) so we'll just put those in
f(n) = -6n + 33
This si as long as the first term is labeled as term number 1 and not term number 0. if you have 27 as term 0 instead just make 33 back to 27, so f(n) = -6n + 27
Let me know if this doesn't make sense.
B
they have limited (3) common points where the planes meet.
a.

is a proper joint density function if, over its support,
is non-negative and the integral of
is 1. The first condition is easily met as long as
. To meet the second condition, we require

b. Find the marginal joint density of
and
by integrating the joint density with respect to
:


Then


c. This probability can be found by simply integrating the joint density:


i think the answer is 4/11 because the 4 people has a 1% chance out of the 11 people