Answer:
( d / c ) < ( a / d )
( b / d ) < ( a / d )
( d / a ) < ( a / d )
Step-by-step explanation:
For this problem, we need to consider the given information that a > b > c > d > 0. Note that a is the greatest number and that d is the least number.
Given this fact, we can create a fraction that will result in a maximum value by simply doing the following:
a / d
The reason the fraction ( a / d ) results in a maximum, is because of the given information where a is the furthest from 0, and d is the closest to 0. Therefore, we can say that no other combination will result in a value greater than ( a / d).
So in the three given statements, we have different combinations of fractions being compared to our maximum value fraction. Our maximum value fraction ( a / d ) will always be greater than any other combination.
Thus, we will choose the sign that makes ( a / d ) greater than the other choice fractions.
Cheers.
Part A
Answer: 7/36
This is in fraction form
The decimal version of this number is roughly 0.1944
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To get this answer, we multiply the fractions 7/9 and 2/8
The fraction 7/9 is the probability of selecting purple on the first draw. There are 7 purple out of 9 total (2+7 = 9)
The fraction 2/8 is the probability of selecting white on the second draw. This is assuming we don't put the first selection back in the bag. There are 2 white out of 8 marbles over
Multiply the fractions to get:
(7/9)*(2/8) = (7/9)*(1/4) = (7*1)/(9*4) = 7/36
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Part B
Answer in fraction form: 1/36
Answer in decimal form: 0.0278 (which is approximate)
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We have 2 white out of 9 total. So the probability of getting white the first time is 2/9
After we select and don't put that first selection back, we have 1 white out of 8 left over. The probability of getting white a second time is 1/8
Multiply the fractions:
(2/9)*(1/8) = (2*1)/(9*8) = 2/72 = 1/36
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Part C
Answer: There is a greater chance to get two purple in a row
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Without doing any math, you can tell that purple is more likely simply because there are more purple than white. We have 7 purple and 2 white. For any given single selection, we have a greater chance of picking purple over white.
If you want do to the math, then the probability of selecting two white marbles in a row is 1/36 = 0.0278 which was found in part B above.
The probability of selecting two purple is (7/9)*(6/8) = (7/9)*(3/4) = (7*3)/(9*4) = 21/36 = 7/12 = 0.5833
In summary,
the probability of selecting two white marbles in a row is 0.0278
the probability of selecting two purple marbles in a row is 0.5833
we see that the probability for the two purple marbles is much greater
Answer:
∠X = 48°
∠Y = 96°
∠Z = 36°
Step-by-step explanation:
All angles of a triangle are equal to 180.
(3.2n) + (6.4n) + (2.4n) = 180
12n = 180
n = 15
Now, we will solve for each angle.
∠X = 48°
3.2n
3.2(15)
48°
∠Y = 96°
6.4n
6.4(15)
96°
∠Z = 36°
2.4n
2.4(15)
36°
<em>If the answers I provided are not in your drop-down menus, let me know.</em>
3x - 4y = 12 ----- (1)
x + 4y = 20 ------ (2)
equation (2) x 3:
3x + 12y = 60 ---(2a)
(2a) - (1):
12y - (-4y) = 60 - 12
12y + 4y = 48
16y = 48
y = 3 ---- sub into equation (2)
x + 4(3) = 20
x + 12 = 20
x = 8
Ans: x = 8 and y = 3 (True)
Answer:
Step-by-step explanation:
That is until they met Dr. Gordon Sato who had an idea of how to help them. He proposed that Hargigo plant mangrove trees near the sea because ... From this one mangrove tree grew many, and these trees gave the people of Hargigo hope. ... They really brought the story of the mangrove trees to life.