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lora16 [44]
3 years ago
5

A 40 yd polygon and 15 yd polygon are similar. find the area of their ratios

Mathematics
2 answers:
Lubov Fominskaja [6]3 years ago
7 0
Because we are dealing with area, we have to square the difference of the 2 polygons.40 / 15 = <span> <span> <span> 2.6666666667 </span> </span> </span> <span> <span> <span> 2.6666666667^2 = </span></span></span> <span> <span> <span> 7.1111111111
</span></span></span>
<span><span><span> </span> </span> </span> So, the 40 yard polygon has <span> <span> 7.1111111111</span>times the area of the 15 yard polygon.
</span>
<span />
Andrew [12]3 years ago
7 0

Answer: 64:9

Step-by-step explanation:

The polygons here have a scale factor of 40:15=8:3 and is simplified to 8/3. Their areas will be 8/3 squared or 64/9.

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Answer:

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In this case we need to determine whether the plant is making a higher than expected number of irregular t-shirts.

If more than 8% of the t-shirts manufactured at a plant are classified as irregular, the manager has to do an investigation to try to find the source of the increased mistakes in the manufacturing process..

The hypothesis for this test can be defined as follows:

<em>H₀</em>: The proportion of irregular t-shirts is 8%, i.e. <em>p</em> = 0.08.

<em>Hₐ</em>: The proportion of irregular t-shirts is more than 8%, i.e. <em>p</em> > 0.08.

The information provided is:

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\hat p=\frac{X}{n}=\frac{12}{100}=0.12

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t=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}

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Thus, the test statistic value is 1.474.

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