3.
1 answer:
Answer:
a. 16 gallons
b. 32
Step-by-step explanation:
Let the full capacity of the tank is x gallons.
a. It is given that 12 gallons of water fill a tank to capacity.
Hence, we can write
⇒ gallons.
b. If the tank is filled to capacity, then there will be 16 gallons of water, with which numbers of half-gallon bottles of be filled with water. (Answer)
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Answer:
B should be worth more points.
Step-by-step explanation:
Given - Consider a randomly shuffled deck of ten cards labeled
{1, 1, 2, 2, 3, 3, 4, 4, 5, 5}, of which game play requires three
to be drawn.
To find - Which one should be worth more points:
A getting a pair of matching cards within the three,
or B getting a set of three cards that can be arranged such
that the sum of two of them is the value of the third.
Proof -
Given that, three cards has to be drawn.
So, total number of ways the card be drawn = ¹⁰C₃
=
=
=
=
= 120
⇒¹⁰C₃ = 120
Now,
Given that, A getting a pair of matching cards within the three
Sample space = { (1,1,2), (1,1,3).(1,1,4),(1,1,5);
(2,2,1),(2,2,3),(2,2,4),(2,2,5);
(3,3,1),(3,3,2),(3,3,4),(3,3,5);
(4,4,1),(4,4,2),(4,4,3),(4,4,5);
(5,5,1),(5,5,2),(5,5,3),(5,5,4) }
⇒n(A) = 20
Also,
B getting a set of three cards that can be arranged such that the sum of two of them is the value of the third
Sample space = { (1,1,2),(1,2,3),(1,3,4),(1,4,5),(2,2,4),(2,3,5) }
⇒n(B) = 6
Now,
P(A) = = 0.167
P(B) = = 0.05
We can see that, P(B) < P(A)
⇒B should be worth more points.
Hello damerahli!
Find the landmark.
Let's take a look at the graph. The coordinates given are (2, ¼).
This means that...
- Coordinate at abscissa = 2
- Coordinate at ordinate = ¼
In the graph given, each square = ¼ units. That means the 1st box above the origin in the ordinate is (0, ¼). Let's mark this as our coordinate of y-axis. Then let's take 2 in the abscissa (2, 0) as the other coordinate. So, by connecting the 2 points (since both the coordinates are positive they'll lie in the 1st quadrant) we can see that the landmark is the . (Marked as a yellow dot in the attached figure).
<em>Please </em><em>refer </em><em>to </em><em>the attached</em><em> picture</em><em> for</em><em> better</em><em> understanding</em><em>.</em>
__________________
Hope it'll help you!
ℓu¢αzz ッ
