Answer:
Step-by-step explanation:
given that a deck of cards is shuffled.
we know in a deck there are 52 cards, 13 cards of each variety spade, clubs hearts and dice. Red are 26 and black are 26. kings, will be 4.
(a) the top card is the king of spades and the bottom card is the queen of spades?
(iii) 1/52 × 1/52
Top has 1/52 and bottom has 1/52 and these are independent.
(b) the top card is the king of spades and the bottom card is the king of spades?
(viii) None of the above
Because it is impossible.
(c) the top card is the king of spades or the bottom card is the king of spades?
(iv) 1/52 + 1/52
This is the sum of probabilities because there is no common event for these two.
(d) the top card is the king of spades or the bottom card is the queen of spades?
(ii) 1/52 + 1/51 (once king of spades is there, then probability is 1/51 for bottom card)
(e) of the top and bottom cards, one is the king of spades and the other is the queen of spades?
(vii) 2/52 × 1/51
Because this is twice of probability d.
Answer:
x= -2 y= -1
Step-by-step explanation:
stack the 2 equations on top of each other and add them together
the 2x and -2x cancel out and you are left with -9y=9
this gives you y= -1
you plug the y value into one of the equations:
2x - (-1) = -3
2x+1 = -3
2x= -4
x= -2
Answer:
b. √x<-14
Step-by-step explanation:
square roots are never negative
Answer:
X ≥9 years after 2009.
Step-by-step explanation:
Y=4x+4
Y-4=4x
X=(Y-4)/4
Y=number of U.S. households, in millions.
Y≥40
Y-4≥36
(Y-4)/4≥9
So, X≥9.
Alright, lets get started.
We could use sine law to find the remaining angle.


Plugging the value of sin 64


Cross multiplying
sin S = 0.8189
Taking inverse on both side

S = 55° : Answer
Hope it will help :)