Answer:
The number of possible outcomes are 8.
Step-by-step explanation:
Given that,
A jewelry store sells gold and platinum rings. Each ring is fitted with a ruby, sapphire, emerald, or diamond gemstone.
We need to calculate the number of possible outcomes
Using given data,
Outcomes = (gold, ruby), (gold,sapphire), (gold,emerald), (gold,diamond),(platinum, ruby), (platinum,sapphire), (platinum,emerald), (platinum,diamond)
So, Outcomes = 8
Hence, The number of possible outcomes are 8.
Answer:
5x - 2y - 23 = 0
Step-by-step explanation:
Line is passing through the points
Equation of line in two point form is given as:

Direct computation:
Parameterize the top part of the circle
by

with
, and the line segment by

with
. Then



Using the fundamental theorem of calculus:
The integral can be written as

If there happens to be a scalar function
such that
, then
is conservative and the integral is path-independent, so we only need to worry about the value of
at the path's endpoints.
This requires


So we have

which means
is indeed conservative. By the fundamental theorem, we have

Answer:
C
Step-by-step explanation:
Answer:
The probability of getting 2 socks of the same color is 1/3.
Step-by-step explanation:
In the drawer,
Number of blue socks = 4
Number of white socks = 8
Number of gray socks = 4
Total number of socks = 4 + 8 + 4 = 16
Total ways to select 2 socks form 16 socks is

Total ways to select 2 socks of the same color is
T = Possible ways of (2 blue + 2 white +2 gray) socks
= 
= 
= 
The probability of getting 2 socks of the same color is



Therefore, the probability of getting 2 socks of the same color is 1/3.