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SVEN [57.7K]
3 years ago
9

Vicci designed a square tile in art class. Each corner of the square tile has a measure of 90 degrees.

Mathematics
1 answer:
marishachu [46]3 years ago
4 0

Answer:

360-270=x

x=90 degrees

Step-by-step explanation:

There are two ways i know of how you can do this

<em>The first way:</em>

Ok so lets add up all the angles we know

<u><em>90+90+90=270</em></u>

Now we subtract that from 360

<u><em>360-270=90</em></u>

And there we have it the measure of angle x is 90 degrees

<em>The second way:</em>

Ok lets name all the angles we know. Hypothetically we only know that one angle is 90.

<u><em>measure of angle one is 90 degrees</em></u>

So now we subtract that from 360

<u><em>360-90=270</em></u>

Now we divide that by three because there are only 4 angles and we know the measure of one of the angles

<u><em>270/3=90</em></u>

And there we have it the measure of angle x is 90 degrees

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Answer:

Explained below.

Step-by-step explanation:

(1)

The hypothesis can be defined as follows:

<em>H</em>₀: The Speedy Oil Change will change the oil in​ customers’ cars in more than 30 minutes on average, i.e. <em>μ</em> > 30.

<em>H</em>ₐ: The Speedy Oil Change will change the oil in​ customers’ cars in less than 30 minutes on average, i.e. <em>μ</em> ≤ 30.

(2)

Use Excel to compute the sample mean and standard deviation as follows:

\bar x=\text{AVERAGE(array)}=24.917\\\\s=\text{STDEV.S(array)}=8.683

Compute the test statistic as follows:

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The degrees of freedom is:

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Compute the p-value as follows:

p-value=P(t_{35}

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The <em>p</em>-value = 0.0006 is very small.

The null hypothesis will be rejected at any of the commonly used significance level.

(4)

There is sufficient evidence to support the claim that the Speedy Oil Change will change the oil in​ customers’ cars in less than 30 minutes on average.

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