Answer:
the answer is 12 points
Step-by-step explanation:
Let V, be the rate in still water and let C = rate river current
If the boat is going :
upstream, its rate is V-C and if going
downstream, its rate is V+C,
But V = 5C, then
Upstream Rate: 5C - C = 4 C
Downstream rate: 5C+C = 6C
Time = distance/Rate, (or time = distance/speed) , then:
Upstream time 12/4C and
Downstream time: 12/.6C
Upstream time +downstream time:= 2h30 ' then:
12/4C + 12/.6C = 2.5 hours
3/C + 2/C = 5/2 (2.5 h = 5/2)
Reduce to same denominator :
5C = 10 and Rate of the current = 2 mi/h
Answer: 1
Scotland
Step-by-step explanation:
In the first vote, points are:
France = 15
England = 12 + 16 = 28
Ireland = 19
2nd vote
England = 15
Scotland = 12 + 19 = 31
Ireland = 16
3rd vote
Scotland = 15 + 16 = 31
Ireland = 12
England = 19
4th vote
Ireland = 15
France = 12 + 16 + 19 = 47
At the end of everything
England = 19 + 15 + 28 = 62
France = 15 + 47 = 62
Scotland = 31 + 31 = 62
Ireland = 19 + 16 + 12 + 15 = 62
To find the Condorcet winner, the number of votes for runner over opponent (runner,opponent) is compared with the number of votes for opponent over runner (opponent,runner)
Only Scotland has the highest (31) points twice.
Answer: 9 Apples
Step-by-step explanation:
Given the following :
Total number of bags = 12
Mean of the distribution(m) = 8
Number of apples (x):
6 - - - - 7 - - - - 8 - - - - 9 - - - - 10
Frequency (f) :
1 - - - - 4 - - - - 2 - - - - 3 - - - - 1
Therefore :
Let number of apples in the 12th bag = y
Frequency of 12th bag : (12 - 11) = 1
Mean of distribution(m) :
Sum of ( f * x) / sum of f
Sum of (f * x) = (6*1)+(7*4)+(8*2)+(9*3)+(10*1)+(y*1)
Sum of (f * x) = (6+28+16+27+10+y) = 87 + y
Sum of f = 12
From :
m = Sum of ( f * x) / sum of f
8 = (87 + y) / 12
87 + y = 12 * 8
87 + y = 96
y = 96 - 87
y = 9
Number of apples in 12th bag is 9 apples
Answer:
2
Step-by-step explanation:
If p = 5 and q = 1, the equation would look like
2 - (1 - 5/5)
2 - (1 - 1) [5/5 is a giant 1]
2 - (0)
2
