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algol [13]
3 years ago
9

Type your answer into the box.

Mathematics
1 answer:
iragen [17]3 years ago
5 0

Given that :

The route to the campsite is 28 cm on the drawing.

The scale on the drawing is 1:300

To find,

The actual length of the route.

Solution,

Let the actual length of the route be x.

Here, map distance : actual distance = 1: 300

\dfrac{1}{300}=\dfrac{28}{x}\\\\x=28\times 300\\\\x=8400\ cm

So, the actual length of the route is 8400  cm.

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The probability  of selecting two Democrats and two Republicans is 0.4242.

Step-by-step explanation:

The information provided is as follows:

  • A city council consists of seven Democrats and five Republicans.
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In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

{n\choose k}=\frac{n!}{k!\times (n-k)!}

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Then the probability  of selecting two Democrats and two Republicans as follows:

P(\text{2 Democrats and 2 Republicans})=\frac{21\times 10}{495}=0.4242

Thus, the probability  of selecting two Democrats and two Republicans is 0.4242.

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