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Sindrei [870]
3 years ago
9

Help please!!!!!!!!!!!!

Mathematics
1 answer:
DENIUS [597]3 years ago
5 0
 it would be either 1 out of 6 or 1 out of 12

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The lengths of lumber a machine cuts are normally distributed with a mean of 100 inches and a standard deviation of 0.3 inch. ​(
ki77a [65]

Answer:

a) 0.345

b) 0.005

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100

Standard Deviation, σ = 0.3

We are given that the distribution of lengths of lumber is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(length greater than 100.12 ​inches)

P(x > 100.12)

P( x > 100.12) = P( z > \displaystyle\frac{100.12 - 100}{0.3}) = P(z > 0.4)

= 1 - P(z \leq 0.4)

Calculation the value from standard normal z table, we have,  

P(x > 100.12) = 1 - 0.655 = 0.345 = 34.5\%

b) Standard error due to sampling:

\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{0.3}{\sqrt{41}} = 0.0468

P(length greater than 100.12 ​inches for the sample)

P(x > 100.12)

P( x > 100.12) = P( z > \displaystyle\frac{100.12 - 100}{0.0468}) = P(z > 2.564)

= 1 - P(z \leq 2.564)

Calculation the value from standard normal z table, we have,  

P(x > 100.12) = 1 - 0.995 = 0.005

8 0
4 years ago
A health club charges non-members $5 per day to swim and $9 per day for an exercise class. Members pay a yearly fee of $300 plus
Ivahew [28]

The number of days d, he must use the gym to make the membership worthwhile is at least 21 days

Equation

Non members:

Cost of swimming per day = $5

Cost of exercise per day = $9

Total = $5 + $9

= $14

Members:

Yearly fee = $300

Exercise fee per day = $4

Swimming fee = $0

The number of days d, he must use the gym to make the membership worthwhile = $300 ÷ 14

= 21.42857142857142

Approximately,

21 days

Learn more about equation:

brainly.com/question/2972832

#SPJ1

5 0
1 year ago
What is 4/11 as a decimal?
Fiesta28 [93]

Answer:0.36363636

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the value of 8+ n, when n is equal to 15?
serg [7]

Answer:

23

Step-by-step explanation:

If n=15 then you do 8+15

8 0
3 years ago
Read 2 more answers
Decide which of the two points lies on the graph of the line <br> 3x+y=10<br> A.3,1<br> B. 1,3
tigry1 [53]
3(x) + y = 10

3(3) + 1 = 10

9 + 1 = 10

10 = 10 (true)

A. 3, 1

hope this helps
8 0
4 years ago
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