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Wewaii [24]
3 years ago
14

An election with 8 candidates has a 2-stage voting process. In the first stage, voters choose 1 candidate from all 8 names on th

e ballot. The 3 candidates who receive the most votes in the first round will appear on the second ballot. Due to time constraints, a print shop must prepare ballots for the second ballot in advance of the first-stage results.
How many different ballots must the shop prepare?
Mathematics
1 answer:
FrozenT [24]3 years ago
3 0

Answer:

56

Step-by-step explanation:

8C3 = 56

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Find all the missing sides and angles of this triangle,
iren2701 [21]

Answer:

See solutions below

Step-by-step explanation:

From the given diagram;

AC = opposite

AB = 7 = hypotenuse

Angle of elevation = 70 degrees

Using SOH CAH TOA

Sin theta = opp/hyp

Sin theta = AC/AB

Sin 70 = AC/7

AC = 7sin70

AC = 7(0.9397)

AC = 6.58

Similarly

tan 70 = AC/BC

tan 70 = 6.58/BC

BC = 6.58/tan70

BC = 6.58/2.7475

BC = 2.39

tan m<A = BC/AC

tanm<A = 2.39/6.58

tan m<A = 0.3632

m<A = 19.96degrees

8 0
3 years ago
What is the point slope equation of the line with slope -12 that goes through the points (5, 3)?
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The point-slope form of ay line is:

y-y1=m(x-x1), where m=slope and (x1,y1) is any point on the line.

In this case we are given that m=-12 and (x1,y1) is (5,3) so

y-3=-12(x-5)

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3 years ago
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On an assembly line, 3 out of every 100 light bulbs are found to be defective . If 5000 light bulbs are produced, how many would
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Answer:

Step-by-step explanation:

There are 50 hundreds in 5000.

No of defective bulb expected = 50 * 3 = 150

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