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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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Step-by-step explanation:

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1. A farmer divided a field into 1-foot by 1-foot sections and tested soil samples from 32 randomly selected sections in the fie
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Part A

Answers:
Mean = 5.7
Standard Deviation = 0.046

-----------------------

The mean is given to us, which was 5.7, so there's no need to do any work there.

To get the standard deviation of the sample distribution, we divide the given standard deviation s = 0.26 by the square root of the sample size n = 32
So, we get s/sqrt(n) = 0.26/sqrt(32) = 0.0459619 which rounds to 0.046

================================================

Part B

The 95% confidence interval is roughly (3.73, 7.67)
The margin of error expression is z*s/sqrt(n)
The interpretation is that if we generated 100 confidence intervals, then roughly 95% of them will have the mean between 3.73 and 7.67

-----------------------

At 95% confidence, the critical value is z = 1.96 approximately

ME = margin of error
ME = z*s/sqrt(n)
ME = 1.96*5.7/sqrt(32)
ME = 1.974949
The margin of error is roughly 1.974949

The lower and upper boundaries (L and U respectively) are:
L = xbar-ME
L = 5.7-1.974949
L = 3.725051
L = 3.73
and
U = xbar+ME
U = 5.7+1.974949
U = 7.674949
U = 7.67

================================================

Part C

Confidence interval is (5.99, 6.21)
Margin of Error expression is z*s/sqrt(n)
If we generate 100 intervals, then roughly 95 of them will have the mean between 5.99 and 6.21. We are 95% confident that the mean is between those values.

-----------------------

At 95% confidence, the critical value is z = 1.96 approximately

ME = margin of error
ME = z*s/sqrt(n)
ME = 1.96*0.34/sqrt(34)
ME = 0.114286657
The margin of error is roughly 0.114286657

L = lower limit
L = xbar-ME
L = 6.1-0.114286657
L = 5.985713343
L = 5.99

U = upper limit
U = xbar+ME
U = 6.1+0.114286657
U = 6.214286657
U = 6.21
5 0
3 years ago
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