Answer:
The number of different possible vote totals is 184.
Step-by-step explanation:
It is provided that there are <em>N</em> = 50 people in a club.
The position of President is open. And there are <em>x</em> = 4 members running for he post of President.
So, there are <em>n</em> = <em>N</em> - <em>x</em> = 50 - 4 = 46 people voting for these 4 members.
Each member of the club has <em>x</em> = 4 possible choices.
So, the number of different possible vote totals are:
Number of different possible votes = <em>n</em> × <em>x</em>
= 46 × 4
= 184
Thus, the number of different possible vote totals is 184.
Answer:
£17253.53 to the nearest hundredth.
Step-by-step explanation:
Decreasing by 9,5% is equivalent to multiplying by 1 - 0.095 = 0.905.
19064.67 * 0.905
= £17253.52635.
So in order to find the correct answer, we can just easily plug in the values to check which ordered pair matches the given inequality above. So based on my solutions, the correct answer would be the last pair.
<span> y − 2x ≤ 1
0 - 2(5)</span> ≤ 1
0-10 ≤ 1
-10 ≤ 1
Hope this answer helps.
Answer: y=9 (point B on the graph)
Step-by-step explanation:
y=3x
x=3
y=3(3) (3×3)
3x3=9
So 9(y)=3(3x)
Point B which is located at the 9 mark
Answer: The distance between the girls is 362.8 meters.
Step-by-step explanation:
So we have two triangle rectangles that have a cathetus in common, with a length of 160 meters.
The adjacent angle to this cathetus is 40° for Anna, then the opposite cathetus (the distance between Anna and the tower) can be obtained with the relationship:
Tan(A) = opposite cath/adjacent cath.
Tan(40°) = X/160m
Tan(40°)*160m = 134.3 m
Now, we can do the same thing for Veronica, but in this case the angle adjacent to the tower is 55°
So we have:
Tan(55°) = X/160m
Tan(55°)*160m = X = 228.5 m
And we know that the girls are in opposite sides of the tower, so the distance between the girls is equal to the sum of the distance between each girl and the tower, then the distance between the girls is:
Dist = 228.5m + 134.3m = 362.8m
