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lianna [129]
3 years ago
6

Lengths of segments

Mathematics
1 answer:
mina [271]3 years ago
4 0

Answer:

Triangles:

10 m, 21 m, 29 m

10 m, 29 m, 37 m

Not triangles:

10 m, 14 m, 29 m

10 m, 29 m, 40 m

Step-by-step explanation:

For a triangle to exist, the sum of any two sides of a triangle must be greater than that of the third side.

Let us check each of the options.

Option 1: 10 m, 14 m, 29 m

The sum of lengths 10 m and 14 m must be greater than 29 m.

10 + 14 = 24 < 29

So, this is not a triangle.

Option 2: 10 m, 21 m, 29 m

10 + 21 = 31 > 29

21 + 29 = 50 > 10

29 + 10 = 39 > 21

Therefore, it is a triangle.

Option 3: 10 m, 29 m, 37 m

10 + 29 = 39 > 37

29 + 37 = 66 > 10

37 + 10 = 47 > 29

Therefore, it is a triangle.

Option 4: 10 m, 29 m, 40 m

10 + 29 =39 < 40

So, this is not a triangle.

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A product is equal to zero whenever one of the factors is equal to zero. 
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Step-by-step explanation:

The number is 3.

Step-by-step explanation:

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Answer:

We conclude that garbage collector's average picking is more than four tons of garbage per day.

Step-by-step explanation:

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p-value = 0.04 < Significance level = 0.05

Since the p-value is lower than the significance level, we fail to accept the null hypothesis and reject it. That is there were enough evidence to support the fact that sample does not belong to the population and we conclude that garbage collector's average picking is more than four tons of garbage per day.

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