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Yuliya22 [10]
3 years ago
8

Use the given confidence interval limits to find the point estimate and the margin of error E.

Mathematics
1 answer:
nika2105 [10]3 years ago
4 0

Answer:

The point estimate = 0.507

Margin error of  a given confidence interval = 0.032

Step-by-step explanation:

The point estimate is calculated by using the sample statistics of a population.

Thus; point estimate can be expressed with the formula:

\overline x = \dfrac{\sum \limits ^n _{i=1} \ x _i}{n}

Given that : 0.475 < p < 0.539

\overline x = \dfrac{0.475+0.539}{2}

\overline x = \dfrac{1.014}{2}

\overline x = 0.507

The point estimate = 0.507

The margin of error  which shows  the percentage of points that the derived results would differ from that of the given population value can be calculated with the formula:

Margin error of  a given confidence interval = \mathtt{\dfrac{upper \ confidence \ limit - lower  \ confidence \ limit  }{2}}

Margin error of  a given confidence interval =  \dfrac{0.539-0.475}{2}

Margin error of  a given confidence interval = \dfrac{0.064}{2}

Margin error of  a given confidence interval = 0.032

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forsale [732]
Diide both sides by -1
|j|=9
rememeber if |a|=b, then assume a=b and a=-b

so
j=9 and j=-9

8 0
4 years ago
Cody's Gym charges a $15 fee to join and $30 per month. Tyler's Gym charges a $30 fee to join and $20 per month. Write an inequa
posledela

Answer:

<u>After (3/2) months Tyler's gym would be a better deal.</u>

Step-by-step explanation:

Let x the number of months

Cody's Gym charges a $15 fee to join and $30 per month

y₁= 15 + 30x (1)

Tyler's Gym charges a $30 fee to join and $20 per month

y₂ = 15 + 30x (2)

See the attached figure which represent the graph of y₁ (with blue color) and y₂ (with red color)

The point of intersection between y₁ and y₂ is ( 3/2 , 60)

After 3/2 months Tyler's Gym charges will be less than Cody's Gym charges

So, the inequality will be:

<u>After (3/2) months Tyler's gym would be a better deal.</u>

​

3 0
3 years ago
Complete the following invoice for upholstery fabric.
Degger [83]

Answer:

a) $49.48

b) $220921.91

Step-by-step explanation:

(a) 4 yd @ $12.37 per yd = 4 x $12.37 = $49.48

(b) 271 yd @ 815.21 per yd = 271 x $815.21 = $220921.91

(c) 20% yd @ $4.95 per yd : Here the nunber of yards are missing. Hence could not be answer . However if number of yards is x . The answer would be

20% of 4.95x

(20%=0.20)

0.20 × 4.95x

8 0
3 years ago
Simplify the square root of 147
Sergio [31]

Answer:

7√3

Step-by-step explanation:

To simplify a square root, look for some of its factors. You are especially looking for factors that are square numbers, or sometimes factors that repeat (repeating factors give you a square number).

√147

=√3·49    Remember 49 is a square number, you can take out its square root.

=7√3       Simplified.

You might also end up with these factors instead.

√147

=√3·7·7      Two same factors mean a square number you can take out.

=7√3         Simplified form.

3 0
4 years ago
The peaches are priced at three for $2. How much does one dozen cost? Write an equivalent ratio to find the answer. Show your wo
Elenna [48]

Answer:

12 peaches = $8

Step-by-step explanation:

3 = $2

12 / 3 = 4

4 x $2 = 8

12 = $8

5 0
3 years ago
Read 2 more answers
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