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sammy [17]
3 years ago
11

Each polygon pair is similar. Find the missing side length

Mathematics
1 answer:
ohaa [14]3 years ago
3 0

I'll do problem 1 to get you started.

The vertical sides are 3 and x for the left and right figures.

The horizontal sides are 15 and 60 for the left and right figures.

The corresponding sides form fractions which are equal (due to the nature of the similar polygons)

3/x = 15/60

3*60 = x*15 ... cross multiply

180 = 15x

15x = 180

x = 180/15 .... divide both sides by 15

x = 12

----------

Another way you can see this is note how the jump from 15 to 60 is "times 4", so the jump from 3 to x must also be "times 4" to keep the same proportion

3 ---> x = 3*4 = 12

Or you could set up the proportion

60/15 = x/3

4 = x/3

x/3 = 4

x = 3*4

x = 12

-----------

<h3>Final Answer: 12</h3>
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Step-by-step explanation:

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4 years ago
The probability distribution for the number of automobiles lined up at a Lakeside Olds dealer at opening time (7:30 a.m.) for se
Gala2k [10]

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E(X) = \sum_{i=1}^n X_i P(X_i)

And replacing we got:

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Step-by-step explanation:

For this case we define the random variable X as "number of automobiles lined up at a Lakeside Olds dealer at opening time (7:30 a.m.)" and we know the distribution for X is given by:

X         1         2       3         4

P(X)  0.05  0.30  0.40   0.25

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete

For this case we can calculate the epected value with this formula:

E(X) = \sum_{i=1}^n X_i P(X_i)

And replacing we got:

E(X) = 1*0.05 +2* 0.3 +3* 0.4 +4*0.25 = 2.85

So we are going to expect about 2,85 automobiles for this case.

4 0
3 years ago
Please help me with this math homework thanks :)
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Then you can draw a line connecting the two points.

I hope this helps :)

Let me know if you need further explanation

3 0
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Read 2 more answers
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