The team must score an additional 6 points to win the game. There are 10 more chances to score one point.

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

Find the slope of the equation3x + 5y = 30

lutik1710 [3]

The slope: 3/5
Y-intercept:-6

4 0

4 years ago

Last week, mallory flew two round trips. They were 3,720 miles and 5,985 miles. Select all of the choices that are good estimate

SVETLANKA909090 [29]

Answer:

Mallory flew in total 10,000 miles, rounded :D

Step-by-step explanation:

Since we're using rounding to place values, first we have to have the total amount of miles flown by Mallory, so we make the sum:

3,720 + 5,985 = 9,705 miles

then, we have to round thefirst digit to the right following this rule

0-4 is rounded down

5-9 is rounded up

now, since the number we want to round is the first digit on the left (9), and following the rules above, we change the "9" for a "10". the rest of the numbers are now transformed into zeros (0)

9,705 >>> rounding it up >>> 10,000

Let me know if you have any questions XD

8 0

3 years ago

Find the arc length of the particle circle

klasskru [66]

Answer:

Length of arc is 2π

Step-by-step explanation:

Length of arc=¤/360 x 2πr

Where:

¤=angle

r=radius

length of arc=90/360 x 2xπx4

Length of arc=1/4 x 8π

Length of arc=8π ➗ 4

Length of arc=2π

4 0

3 years ago

Read 2 more answers

John uses 2/5 cup of orange juice for every 1/3 cup of pineapple juice to make a fruit punch. Write the number of cups of orange

user100 [1]

Answer : 1 1/5
Step by step explanation :
2/5 orange = 1/3 pineapple
There are multiple ways to go about with this problem, but let’s just go with one of the simplest : Multiplying by the same thing on both sides.
How do we get from 1/3 to 1? We multiply by 3. So, to find how many cups of orange juice we use we need to multiply by 3 too.
2/5 times 3 = 6/5
6/5 = 1 and 1/5
So 1 and 1/5 is the answers, have a great day, and mark brainliest if possible!

6 0

2 years ago