Which relation is a function?

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

Seven friends want to play a game. They must be divided into two teams with three people in each team and one leader. In how man

fiasKO [112]

Answer:70

Step-by-step explanation:

Given

total of 7 friends need to be divided in two groups with 3 member each and 1 leader

leader can be chosen out of 7 person in $^7C_1$ ways

And 3 person out of remaining 6 persons in $^6C_3$ ways

thus a total of $^7C_1\times ^6C_3$ ways is possible

If order is not matter then

$\frac{140}{2}$ ways are possible

4 0

4 years ago

What percent of 24 is 6

VMariaS [17]

To find what percent a part is of the whole, divide the part by the whole and multiply by 100.

percent = part/whole * 100%

percent = 6/24 * 100%

percent = 0.25 * 100%

percent = 25%

Answer: 25%

4 0

3 years ago

Read 2 more answers

What is a factor of: tan^2x + 2tan(x)cos(x) + cos^2(x)

nikklg [1K]

Lets factor this quadratic function

the factors are (tan x + cos x)(tan x + cos x)

So the answer is choice A.

6 0

3 years ago

The edge roughness of slit paper products increases as knife blades wear. Only 1% of products slit with new blades have rough ed

Masteriza [31]

Answer: Our required probability is 2.8%.

Step-by-step explanation:

Since we have given that

Probability of products slit with new blades have rough edges P(X) = 1%

Probability of products slit with blades of average sharpness exhibit roughness P(Y) = 3%

Probability of products slit with worn blades exhibit roughness P(Z) = 5%

Let A be the selected product that exhibit edge roughness.

P(A|X) = 25% = 0.25

P(A|Y) = 60% = 0.60

P(A|Z) = 15% = 0.15

So, the probability of products that exhibit edge roughness is given by

$P(X)P(A|X)+P(Y)P(A|Y)+P(Z)P(A|Z)\\\\=0.01\times 0.25+0.03\times 0.60+0.05\times 0.15\\\\=0.028\\\\=2.8\%$

Hence, our required probability is 2.8%.

8 0

3 years ago