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Mila [183]
2 years ago
10

Construct an interval estimate for the given parameter using the given sample statistic and margin of error. For μ1-μ2, using x¯

1-x¯2=8 with margin of error 8 .
Mathematics
1 answer:
maks197457 [2]2 years ago
4 0

Answer: CI = (0, 8)

Step-by-step explanation: Confidence interval for difference between mean is given below as

Lower limit

= (x1 - x2) + margin of error

Upper limit

= (x1 - x2) - margin of error

where x1 - x2 = 8 and margin of error = 8

For lower limit,

= 8 - 8 = 0

For upper limit

= 8 + 8 = 16

Hence CI = (0, 8)

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Which expression is equivalent to sin7pi/6?
elena-14-01-66 [18.8K]

For this case we must find an expression equivalent to:

Sin (\frac {7 \pi} {6})

According to the unit circle, \frac {7 \pi} {6} is in the third quadrant and equals 210 degrees.

Then, we must find an expression equivalent to:

Sin (210) = - \frac {1} {2} = - 0.5

We have to:

\frac{11 \pi} {6}

It is in the fourth quadrant and is equivalent to 330 degrees, according to the unit circle.

Sin (330) = - \frac {1} {2} = - 0.5

Answer:

Option D

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2 years ago
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Suppose that a new company has five employees: Zamora, Agraharam, Smith, Chou, and Macintyre. Each employee will assume one of s
Sliva [168]

Answer:

Step-by-step explanation:

Before constructing bipartite graph, we need to have the responsibilities of each person sorted out first. I listed it in dash form for easy reading

Zamora

- planning,

- sales, marketing

- industry relations

Agraharam:

- planning

- development

Smith

- publicity,

- sales,

- industry relations

Chou

- planning,

- sales,

- industry relations

Macintyre

- planning,

- publicity,

- sales,

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After we are done with that, we can start constructing the bipartite graph by making two column or two rows of group, one is for the person and the other is for responsibilities.

Later, we start match up each person to the responsibilities that assigned to them.

I attached the bipartite graph for this question as well.

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2 years ago
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This line plot shows something about trails in a state park. What is true about the data in this line plot?
Zepler [3.9K]

Answer:

The total length of the Dogwood Trail is 24 kilometers

The difference between the lengths of the trails is 6 kilometers

Step-by-step explanation:

<u><em>The complete and correct question is</em></u>

The diagram shows two different nature trails in a state park. The solid line shows the Dogwood Trail. The dashed line shows the Elm Trail.

Which of the following statements are true about the lengths of the trails? Check all that apply.

1.The total length of the Dogwood Trail is 16 kilometers.

2.The total length of the Dogwood Trail is 24 kilometers.

3.The Elm Trail is longer than the Dogwood Trail.

4.The difference between the lengths of the trails is 2 kilometers.

5.The difference between the lengths of the trails is 6 kilometers.    

<u><em>The picture in the attached figure</em></u>

step 1

Find the value of a

Applying the Pythagorean Theorem in the right triangle ABC

13^2=a^2+5^2\\a^2=169-25\\a^2=144\\a=12\ km

step 2

Find the value of b

Applying the Pythagorean Theorem in the right triangle CDE

5^2=b^2+3^2\\b^2=25-9\\b^2=16\\b=4\ km

step 3

Find the total length of the Dogwood Trail (solid blue line)

The total length is equal to

AD=AB+BC+CE+ED ---> by segment addition postulate

substitute the given values

AD=a+5+b+3=(a+b+8)\ km

substitute the value of a and b

AD=(12+4+8)=24\ km

step 4

Find the total length of the Elm Trail  (dashed red line)

The total length is equal to

AD=AC+CD ---> by segment addition postulate

substitute the given values

AD=13+5=18\ km

<u><em>Verify the following statements</em></u>

Part 1) The total length of the Dogwood Trail is 16 kilometers

The statement is false

Because

The total length of the Dogwood Trail is 24 kilometers (see the explanation)

Part 2) The total length of the Dogwood Trail is 24 kilometers

The statement is true (see the explanation)

Part 3) The Elm Trail is longer than the Dogwood Trail

The statement is false

Because

The Elm Trail is smaller than the Dogwood Trail

18\ km < 24\ km

Part 4) The difference between the lengths of the trails is 2 kilometers

The statement is false

Because

The difference is equal to

24-18=6\ km

Part 5) The difference between the lengths of the trails is 6 kilometers

The statement is true

Because

The difference is equal to

24-18=6\ km

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2 years ago
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A car company sells a scale model to of the size of one of its cars.
mixer [17]

Answer:

w = 13500 --- real windscreen

v = 408 --- scale volume

Step-by-step explanation:

Given

k = \frac{1}{10} --- scale factor

See attachment

Required

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w = \frac{w_{scale}}{k^2}

This gives:

w = \frac{135}{(1/10)^2}

w = \frac{135}{1/100}

w = 13500

Next, the volume (v) of the scale mode

We make use of the following computation

v = v_{real} * k^3

So, we have:

v = 408000 * (1/10)^3

v = 408000 * 1/1000

v = 408

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2 years ago
There are 50 students in a class and the professor chooses 15 students at random. what is the probability that you or your frien
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Try this option (see the attachment). Make design according own requirements.
Note, that the description and details are under green line.

Answer: 0.030921

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2 years ago
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