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3 years ago

Can someone please help me with this?

Mathematics

1 answer:

vivado [14]3 years ago

3 0

Answer:

Step-by-step explanation:

As we can see it is a right angled triangle so

hypotenuse (h) = 14 . 7 km

perpendicular (p) = 11.9 km

base (b) = x

Now by using Pythagoras theorem

$b^{2} = h^{2} - p ^{2}$

$b^{2} = 14.7^{2} - 11.9^{2}$

$b^{2} = 216.09 - 141.61$

$b^{2} = 74.48\\b = \sqrt{74.48} \\b = 8.63 km$

Hope it was helpful.:)

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2. In a given country, records show that of the registered voters, 45% are Democrats, 35% are Republicans, and 20% are independe

Kitty [74]

Answer:

P(R) = 0.14

P(I) = 0.16

P(D) = 0.315

Step-by-step explanation:

Let Democrat = D

Republican = R

Independent = I

If 45% are Democrats, 35% are Republicans, and 20% are independents, then

Total registered voters = 100

In an election, 70% of the Democrats, 40% of the Republicans, and 80% of the independents voted in favor of a parks and recreation bond proposal. That is,

D = 0.7 × 45 = 31.5

R = 0.4 × 35 = 14

I = 0.8 × 20 = 16

If a registered voter chosen at random is found to have voted in favor of the bond, what is the probability that the voter is

a Republican:

P(R) = 14 /100 = 0.14

an Independent

P(I) = 16/100 = 0.16

a Democrat

P(D) = 31.5/100 = 0.315

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Vinil7 [7]

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