Answer:
A. 
B.
C. 
Step-by-step explanation:
A.
There are 52/4 diamonds in the deck and 4 '5's in the dech of cards
52/4 = 13 + 4 = 17
Therefore, you have a chance of drawing one of those cards.
B.
There are 13 hearts in the deck and 4 jacks. Therefore, your odds are the same :
C.
There are 4 jacks in a deck of cards and 4 '8's in a deck of cards
Therefore your probability is 
which simplifies to 
<em>As per brainly guidelines I can only answer 3 questions in one answer</em>
Answer:
16
Step-by-step explanation:
the negative outside the parenthesis removes the negative that is with the 19 and it is going to be 19-3 which equal 16
Answer: 14⅝ hiurs
Step-by-step explanation:
Based on the information given in the question, we can form an equation which will be:
8 + 6h = 125
where, h = number of hours
6h = 125 - 8
6h = 117
h = 117/8
h = 14 ⅝hours
Therefore, minimum amount of hours he will need to walk the dog in order for him to buy a new pair of Jordans is 14⅝ hours.
cos4x = cos2x
We know that:
cos2x = 1-2cos^2 x
==> cos4x = 1-2cos^2 (2x)
Now substitute:
==> 1-2cos^2 (2x) = cos2x
==> 2cos^2 (2x) + cos2x - 1 = 0
Now factor:
==> (2cos2x -1)(cos2x + 1) = 0
==> 2cos2x -1 = 0 ==> cos2x =1/2 ==> 2x= pi/3
==> x1= pi/6 , 7pi/6
==> x1= pi/6 + 2npi
==> x2= 7pi/6 + 2npi
==> cos2x = -1 ==> 2x= pi ==> x3 = pi/2 + 2npi.
<span>==> x= { pi/6+2npi, 7pi/6+2npi, pi/2+2npi}</span>
Answer:
D.
Step-by-step explanation:
I don't really know how to explain this over a computer, but it is correct.
Hope that this helps!
