Answer:

Step-by-step explanation:
"AND" means Multiplication, and
"OR" means Addition (in probability)
We want Both cards to be black, that means 1st card black "AND" 2nd card black. So we find individual probabilities and MULTIPLY.
There are 26 black cards from 52 total cards in a normal deck.
P(1st card black) = 26/52 = 1/2
Now, since we HAVEN'T REPLACED, there are now 25 black cards out of 51 total cards. So
P(2nd card black) = 25/51
Now we multiply:
P(both black) = 
Answer:

Step-by-step explanation:
The picture of the question in the attached figure
we have that
-----> given problem
so
------> by central angle
we know that
The triangle UZV is an isosceles triangle
because
ZU=ZV=radius
so
-----> bases angle of the isosceles triangle
Remember that
The sum of the internal angles of any triangle must be equal to 180 degrees
so

substitute and solve for m<ZUV

Find the measure of angle YUV
we have that
------> by complementary angles
substitute the given value and solve for m<YUV

Answer:
D
Step-by-step explanation:
m + 9 can be +ve or -ve or 0.
m can be any number, even lesser than -9 to make it +ve. [-10+9 = -1 = -ve no.]
Or, maybe greater than -9 to make m+9 +ve. [-8 + 9 = 1 = +ve no.]
Or, maybe -9 only so that m+9 is 0
[ -9 + 9 = 0 ]
It can be -ve, +ve and 0 as well.
Answer:
S₃ = 37
Step-by-step explanation:
given a₁ = 16 and r =
, then
a₂ = a₁ ×
= 16 ×
= 12
a₃ = a₂ ×
= 12 ×
= 9
then
S₃ = a₁ + a₂ + a₃ = 16 + 12 + 9 = 37