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alex41 [277]
3 years ago
12

uppose a large telephone manufacturer has a problem with excessive customer complaints and consequent returns of the phones for

repair or replacement. The manufacturer wants to estimate the magnitude of the problem in order to design a quality control program. How many telephones should be sampled and checked in order to estimate the proportion defective to within 4 percentage points with 83% confidence
Mathematics
1 answer:
vodka [1.7K]3 years ago
5 0

Answer:

The answer is "294.2075".

Step-by-step explanation:

Given:

\hat{p} = 0.5 \\\\1 - \hat{p} = 1 - 0.5 = 0.5\\\\E = 4\% = 0.04\\\\

At 83\% confidence level the z is ,

\alpha  = 1 - 83\% = 1 - 0.83 = 0.17\\\\\frac{\alpha}{2} = \frac{0.17}{2} = 0.085\\\\Z_{\frac{\alpha}{2}} = Z_{0.085} = 1.3722\\\\n = (\frac{Z_{\frac{\alpha}{2}}}{E})^2 \times \hat{p} \times (1 - \hat{p})\\\\

   = (\frac{1.3722}{0.04})^2 \times 0.5 \times 0.5\\\\= (34.305)^2 \times 0.5 \times 0.5\\\\= 1,176.83 \times 0.5 \times 0.5\\\\= 1,176.83 \times 0.25\\\\=294.2075

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An angle measures 79.4 degrees more than the measure of its supplementary angle. What is the measure of each angle?
tatyana61 [14]

Answer:

The angles are: 50.3 and 129.7

Step-by-step explanation:

The sum of supplementary angles is 180°.

Let x be one angle then the other angle will be x+79.4

Using the supplementary angle sum

x+x+79.4 = 180\\2x+79.4 = 180\\2x = 180-79.4\\2x = 100.6\\\frac{2x}{2} = \frac{100.6}{2}\\x = 50.3

For the measurement of 2nd angle

x+79.4 => 50.3+79.4 => 129.7

Hence,

The angles are: 50.3 and 129.7

4 0
3 years ago
B) Using the two point above find the slope using the formula m =
12345 [234]

The linear equations are y - 25 = 0.89(x - 20) and y  = 0.89x + 7.2

<h3>The slope of the line</h3>

The complete question is added as an attachment

The two points from the graph are (20, 25) and (38, 41)

The slope of the line is calculated using

m = (y2 - y1)/(x2 - x1)

Substitute the known values in the above equation

m = (41 - 25)/(38 - 20)

Evaluate

m =0.89

<h3>The linear equation in point slope form</h3>

This is calculated as:

y - y1 = m(x - x1)

Substitute the known values in the above equation

y - 25 = 0.89 * (x - 20)

Evaluate

y - 25 = 0.89(x - 20)

<h3>The linear equation in slope-intercept form</h3>

We have:

y - 25 = 0.89(x - 20)

Expand

y - 25 = 0.89x - 17.8

Add 25 to both sides

y  = 0.89x + 7.2

Hence, the linear equations are y - 25 = 0.89(x - 20) and y  = 0.89x + 7.2

Read more about linear equations at:

brainly.com/question/4025726

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5 0
1 year ago
Will an exponential function always, never, or sometimes exceed a polynomial function?
patriot [66]
At some point, the exponential function always exceeds a polynomial function.
3 0
3 years ago
Read 2 more answers
High Points!!!
Karo-lina-s [1.5K]

Answer:

A

Step-by-step explanation:

5 0
2 years ago
12, 9, 15, 19, 20, 15<br><br> Mean <br><br> Median <br><br> Mode
Ede4ka [16]

Answer:

Mean: 15

Median:  15

Mode:  15

Step-by-step explanation:

<h2>Definitions:</h2>

<u>Mean</u>: It represents the average value of a given data set. The formula for finding the mean of a given set of numbers by taking the quotient of all numbers and the number of values. In other words:

\displaystyle\mathsf{Mean\:=\:\frac{Sum\:of \:all\: values}{Number\:of\:values \:in\: a \:given \:data\:set}}

<u>Median:</u> It represents the middle value in a given set of numbers. In order to determine the median, it is essential to arrange the given data either in <em>ascending</em> or <em>descending</em> order (although it is customary to arrange the numbers into ascending order).

  • If there is an odd number of values in a given set, then the <u>middle number</u> is the median of that set.
  • If a given list comprises of an even number of items, then we must take the <em>average</em> of the two middle numbers.

<u>Mode</u>: It represents the number that <u>occurs most often</u> on a list of items or data.

<h2>Solution:</h2><h3><u>Find the Mean:</u></h3>

Using the formula provided in the previous section for finding the mean:

\displaystyle\mathsf{Mean\:=\:\frac{Sum\:of \:all\: values}{Number\:of\:values \:in\: a \:given \:data\:set}}

\displaystyle\mathsf{Mean\:=\:\frac{12+9+15+19+20+15}{6}\:=\:\frac{90}{6}\:=\:15}

<h3><u>Find the Median:</u></h3>

Arrange the given data set in <u><em>ascending order</em></u>:

12, 9, 15, 19, 20, 15  ⇒  9, 12, <u>15</u>, <u>15</u>, 19, 20

Next, since there is an even number of items on our given data set, we must <u>take the average of the</u><u> two middle numbers</u> (which are 15 and 15):

\displaystyle\mathsf{Median\:=\:\frac{15+15}{2}\:=\:\frac{30}{2}\:=\:15}

Therefore, the median is 15.

<h3><u /></h3><h3><u>Find the Mode:</u></h3>

As described in the previous section of this post, the mode is the number that occurs most often on our given data. The only repeating number on our list is 15, hence it is the mode.

Therefore, the <em>mean</em>, <em>median</em>, and <em>mode</em> of the given data set is <u>15</u>.

6 0
2 years ago
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