The probability is a ratio of the possible events to the total events. The total is 52 cards, so the denominator is 52. The individual properties of the specific cards are the following:
Any face or number cards is 4/52, because there are 4 cards for each symbol. On the other hand, each symbol like heart, diamond, club or spade would each have a probability of 13/52 (counting numbers 2 to 10, Ace card, and the 3 face cards). Also, there are 26 each of red and black cards. Furthermore, the words 'or' and 'and' are hint words. When you see 'or', you have to add their individual probabilities. If you see the word 'and', you'll have to multiply them. With that said, the solution is as follows:
a.) P = 4/52 + 4/52 + 4/52 = 3/13
b.) P = (13/52 + 13/52 + 4/52)(26/52) = 15/52
c.) P = 13/52
d.) P = 13/52 + 13/52 + 13/52 = 3/4
Answer:
See below
Step-by-step explanation:
It is NOT a RIGHT triangle so you <u>cannot use</u> 1/2 b * h
but you can use Heron's Formula
Area = sqrt( s (s-a)(s-b)(s-c) )
s = semi- perimeter = (3+6+7)/2 = 8
Area = sqrt ( 8 ( 8-3)(8-6)(8-7) ) = sqrt ( 80) = 8.9 cm^2
Combine like terms
-7y² + 6y² - 2y² = -3y²
4y + (-5y) - (-9y) = 4y - 5y + 9y = 8y
9 + 9 - (-2) = 9 + 9 + 2 = 20
-3y² + 8y + 20 is your answer
hope this helps
Answer:
a) Q(-2,1) is false
b) Q(-5,2) is false
c)Q(3,8) is true
d)Q(9,10) is true
Step-by-step explanation:
Given data is 
is predicate that 
then 
. where 
are rational numbers.
a)
when 
Here 
that is satisfied. Then
this is wrong. since 
That is 
Thus 
is false.
b)
Assume 
.
That is 
Here 
that is this condition is satisfied.
Then
this is not true. since 
.
This is similar to the truth value of part (a).
Since in both satisfied and 
for both the points.
c)
if 
that is 
and 
Here 
this satisfies the condition .
Then 
This also satisfies the condition .
Hence 
exists and it is true.
d)
Assume 
Here 
satisfies the condition
Then 
satisfies the condition .
Thus, 
point exists and it is true. This satisfies the same values as in part (c)
