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Ilya [14]
3 years ago
10

A food processing plant is packaging 32oz bags of coffee beans. The tolerance is 0.25 ounces. 100 bags of coffee were weighed, a

nd the number at each weight is shown in the table below:
Weight # of bags
31.25. 1
31.7. 3
31.8. 3
31.83. 6
31.9. 15
32. 49
32.1. 14
32.2. 5
32.24. 2
32.3. 2

If more than 1 in 10 bags is outside of the acceptable tolerance, the bagging line is paused until the problem is identified. Does the line need to be paused?
Mathematics
1 answer:
lubasha [3.4K]3 years ago
6 0

Answer: No

Step-by-step explanation:

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In a class of 100 students, 25 students have hardcover and 75 students have paperback textbooks for the course. If you randomly
galina1969 [7]

h = prob of hardcover = .25

p = prob of paperback = .75

a.

Prob(2 hardcover of 10) = (10 choose 2) (.25)^2 (.75)^8

= ( 10(9)/2 ) (1/4^10) (1^2 3^8)

= 295245/1048576

≈ 28.15%

b.

I think I just did the binomial distribution.  We can approximate it as a normal distribution. The mean and variance in this case are computed thus:

N=10, n=2

μ = Np = 2.5

σ² = Npq = 1.875

σ = 1.3693

P(n) = 1/(σ√2π)e^-(n-μ)/(2σ²)

P(2) = 1/(1.3693√2π)e^-(2 - 2.5)/(2 (1.875))

P(2) = 33.3%

Pretty good, not great.

6 0
3 years ago
One number exceeds another by 20 . The sum of the numbers is 78. What are the numbers
castortr0y [4]

Answer: 2 numbers are 19 and 39

Step-by-step explanation:

<em>y = x + 20</em>

Equation: x + y  + 20 = 78

⇔ x + y = 78 - 20

⇔ x + y = 58

⇔ y = 58 - x

So, we have:

x + 20 = 58 - x ( = y)

⇔ x + x = 58 - 20

⇔ 2x = 38

⇔ x = 19

⇒ y = x + 20 = 19 + 20 = 39

4 0
3 years ago
Please help me out please
IgorLugansk [536]

Answer:

h=20

Step-by-step explanation:

h=3 (V/lw)

h= 3 (960/12*12)

7 0
3 years ago
What is the answer plz
Bumek [7]

Answer:

9 days

Step-by-step explanation:

He sets his watch 12 seconds behind

For every day that passes it falls back another 1 second

So once it is 21 seconds behind all you have to do is subtraction to find the amount of days past

21 - 12 = 9

Since its 12 seconds behind already itll take 9 days to be behind 9 more seconds.

6 0
3 years ago
PLEASE HELP NEED THIS DONE.
Mandarinka [93]
A.40,48 is the right answer
7 0
3 years ago
Read 2 more answers
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