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tino4ka555 [31]
3 years ago
13

Help due today Find the value of x.

Mathematics
1 answer:
GrogVix [38]3 years ago
3 0

Answer:

45°

Step-by-step explanation:

The total angles of a triangle are 180°. 180°-90°-2x. x=45°

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The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.
valina [46]

Answer:

A sample of 179 is needed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.85}{2} = 0.075

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.075 = 0.925, so Z = 1.44.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

A previous study found that for an average family the variance is 1.69 gallon?

This means that \sigma = \sqrt{1.69} = 1.3

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

M = z\frac{\sigma}{\sqrt{n}}

0.14 = 1.44\frac{1.3}{\sqrt{n}}

0.14\sqrt{n} = 1.44*1.3

\sqrt{n} = \frac{1.44*1.3}{0.14}

(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2

n = 178.8

Rounding up

A sample of 179 is needed.

7 0
3 years ago
What is the circumstance of the circle
PilotLPTM [1.2K]

Answer:

8pi

Step-by-step explanation:

circumference of the circle=2 pi r(radius)

=2pi×d(diameter)/2

=2 × pi × 8/2

=8 pi cm

3 0
2 years ago
A university administrator expects that 25% of students in a core course will receive an
xxMikexx [17]
75% i would think if you subtract 25% from 100% of the class
3 0
3 years ago
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LiRa [457]

Answer:

0.0000000642 = 6.42 \times  {10}^{ - 8}

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5 0
3 years ago
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What is the approximate curcumfrance of the circle shown below?​
Vikki [24]

Answer:

C.

Step-by-step explanation:

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Circumference=3.14*19.5

Circumference=61.23 rounds to 61.2 so the answer is C

3 0
3 years ago
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