2. What polygon is formed if you divide this figure into three equal parts? A squares B. triangles C. rhombuses D. kites

The manager of a warehouse would like to know how many errors are made when a product’s serial number is read by a bar-code read

Firlakuza [10]

Answer:

The mean and standard deviation changed to 23.5 and 14.62 respectively, based on all 12 samples.

Step-by-step explanation:

We are given that the Six samples are collected of the number of scanning errors: 36, 14, 21, 39, 11, and 2 errors, per 1,000 scans each.

Representing the data in tabular form;

X $X - \bar X$ $(X - \bar X)^{2}$

36 36 - 20.5 = 15.5 240.25

14 14 - 20.5 = -6.5 42.25

21 21 - 20.5 = 0.5 0.25

39 39 - 20.5 = 18.5 342.25

11 11 - 20.5 = -9.5 90.25

2 2 - 20.5 = -18.5 342.25

Total 1057.5

Now, the mean of these value is given by;

Mean, $\bar X$ = $\frac{\sum X}{n}$

= $\frac{36+14+21+39+11+2}{6}$

= $\frac{123}{6}$ = 20.5

Standard deviation formula for discrete distribution is given by;

Standard deviation, $\sigma$ = $\sqrt{\frac{\sum (X -\bar X)^{2} }{n-1} }$

= $\sqrt{\frac{1057.5 }{6-1} }$ = 14.54

Now, the manager has six more samples taken:

33, 45, 34, 17, 1, and 29 errors, per 1,000 scans each

So, the modified table would be;

X $X - \bar X$ $(X - \bar X)^{2}$

36 36 - 23.5 = 12.5 156.25

14 14 - 23.5 = -9.5 90.25

21 21 - 23.5 = -2.5 6.25

39 39 - 23.5 = 15.5 240.25

11 11 - 23.5 = -12.5 156.25

2 2 - 23.5 = -21.5 462.25

33 33 - 23.5 = 9.5 90.25

45 45 - 23.5 = 21.5 462.25

34 34 - 23.5 = 10.5 110.25

17 17 - 23.5 = -6.5 42.25

1 1 - 23.5 = -22.5 506.25

29 29 - 23.5 = 5.5 30.25

Total 2353

Now, the mean of these value is given by;

Mean, $\bar X$ = $\frac{\sum X}{n}$

= $\frac{36+14+21+39+11+2+33+45+34+17+1+29}{12}$

= $\frac{282}{12}$ = 23.5

Standard deviation formula for discrete distribution is given by;

Standard deviation, $\sigma$ = $\sqrt{\frac{\sum (X -\bar X)^{2} }{n-1} }$

= $\sqrt{\frac{2353 }{12-1} }$ = 14.62

7 0

3 years ago

On Thursday, Mme Q answered emails from her students for 5/6 hour. On Friday, she increased her time answering emails by 7/12 ho

Mama L [17]

Answer:

Mme Q spent more time answering emails from students by 10 minutes

Step-by-step explanation:

Here we have

Time spent by Mme Q in answering mails on Friday given by

5/6 Hour = 50 minutes and

7/12 Hour = 35 minutes

Total time spent on Friday = 85 Minutes or

5/6 + 7/12 = 17/12 Hours

Time spent by Mme F in answering mails on Friday given by

1/2 Hour = 30 minutes and

3/4 Hour = 45 minutes

Total time spent on Friday by Mme F = 75 Minutes or

1/2 + 3/4 = 5/4 Hours

Therefore, Mme Q spent more time answering emails from students by 85 - 75 = 10 minutes.

7 0

4 years ago

Andrew is at point A. A deer is 3km directly north of Andrew, at point D. Brian is 1.8 km due west of Andrew at point B. Calcula

Vesna [10]

3.49857113691km ..............................................................................

6 0

4 years ago

Need help! The surface of an office desk is 3 feet wide and 5 feet long. What is its area?

stepan [7]

Answer:15 ft

Step-by-step explanation:

6 0

3 years ago

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2. What polygon is formed if you divide this figure into three equal parts? A squares B. triangles C. rhombuses D. kites​

2. What polygon is formed if you divide this figure into three equal parts? A squares B. triangles C. rhombuses D. kites