Answer: There are 12 possible outcomes in the sample space.
To find all of the possible outcomes, you have to start with the possibilities for the deck of cards. There are 4, clubs, diamonds, hearts and spades (C, D, H, S).
Then, for the spinner, the choices are 1, 2, or 3.
Each of the suits will have each one of the numbers. The 12 different possibilities are listed below.
C1 C2 C3
D1 D2 D3
H1 H2 H3
S1 S2 S3
Note that the equation of the circle is
(x-h)² +(y-k)² =r²
where centre is (h,k)
the equation of the circle based on the information given
(x-3)² +(y-4)² =r²
and the point on the circle (3,-2)
substitute into the equation
(3-3)² +(-2-4)² =r²
r=6 or r=-6
since r is radius, we reject r=-6 since radius must be nonnegative.
the radius is 6
P(4)= 1/8
This is because there are 8 equal parts and 4 is just one of those 8 parts.
(B)
Step-by-step explanation:
Rewrite the equations into their standard forms. The first one can be rewritten as
and the 2nd can be rewritten as
Solving this system either by substitution or elimination, we get
If you add x + y, you'll get a negative number.
