35, 36, 37, 38, 39, 40, 41, 42, 43, 44
<h3>
Answer: 8/25</h3>
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Explanation:
In a standard deck, there are 52 cards.
If this deck is missing the queen of hearts and 2 of clubs, then we really have 52-2 = 50 cards in the deck.
There are 4 aces and 13 spades. Those values add to 4+13 = 17, but we need to subtract off 1 to account for the ace of spades counted twice. We have 17-1 = 16 cards that are either an ace, a spade, or both.
Or you can think of it like saying 13 spades + 1 ace of hearts + 1 ace of diamonds + 1 ace of clubs = 16 cards total.
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The event space has A = 16 cards in it, while the sample space has B = 50 cards.
The probability we're after is A/B = 16/50 = 8/25
Answer:
192cm^3
Step-by-step explanation:
V=Bh
B= 1/2bh
B= 16
h=12
V= Bh= 16 x 12= 192
just an FYI- this is a triangular prism
Answer: y=-3/2x-13/2
Step-by-step explanation:
To find a line parallel to the given line, we know that the two equations must have the same slope. We first want to find the slope of the given equation.
3x+2y=9 [subtract both sides by 3x]
2y=-3x+9 [divide both sides by 2]
y=-3/2x+9/2
Now, we know the slope if -3/2. All we have to do is plug in the given point to find the y-intercept.
-5=-3/2(-1)+b [multiply]
-5=3/2+b [subtract both sides by 3/2]
b=-13/2
Now, we know the equation is y=-3/2x-13/2.
Answer:
48π square units
Step-by-step explanation:
The lateral surface area of a cylinder is = 2 π r h.
Where h = 6, r = 4 (from the figure)
Then the lateral surface area is: 2*6*4*π = 48π square units
