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Furkat [3]
3 years ago
13

Convert 4.138138 to a fraction

Mathematics
1 answer:
ioda3 years ago
7 0

Answer:

4.138138=469069/500000

Step-by-step explanation:

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Construct a​ 95% confidence interval for the population​ mean, mu. Assume the population has a normal distribution. A random sam
aniked [119]

Given Information:  

Number of lithium batteries = n = 16

Mean life of lithium batteries = μ = 645 hours

Standard deviation of lithium batteries = σ = 31 hours

Confidence level = 95%  

Required Information:  

Confidence Interval = ?

Answer:  

CI = 628.5 \: to \: 661.5 \: hours

Step-by-step explanation:  

The confidence interval is given by

CI = \mu \pm t_{\alpha/2} (\frac{\sigma}{\sqrt{n}})

Where μ is the mean life of lithium batteries, σ is the standard deviation, n is number of lithium batteries selected, and t is the critical value from the t-table with significance level of

tα/2 = (1 - 0.95) = 0.05/2 = 0.025

and the degree of freedom is

DoF = n - 1 = 16 - 1 = 15

The critical value (tα/2) at 15 DoF is equal to 2.131 (from the t-table)

CI = 645 \pm 2.131(\frac{31}{\sqrt{16}})

CI = 645 \pm 2.131(7.75})

CI = 645 \pm 16.515

CI = 645 - 16.515 \: and \: 645 + 16.515

CI = 628.5 \: to \: 661.5 \: hours

Therefore, the 95% confidence interval is 628.5 to 661.5 hours

What does it mean?

It means that we are 95% confident that the mean life of 16 lithium batteries is within the interval of (628.5 to 661.5 hours)

6 0
3 years ago
the employees of a company were surveyed on questions regarding their educational background ( college degree) and marital statu
Llana [10]

Number employees N = 600

Then

Probability of Single + College degree = ?

Probability of single S = 100/600 = 1/6

Probability of College graduate G = 400/600 = 2/3

So then probability of both S and G is

Prob Single or Graduate = 1/6 + 2/3 = 1/6 + 4/6 = 5/6

. = 0.833

Then answer is

Probability of Single or Graduate = 5/6= 0.8333

Is also 83.33%

5 0
1 year ago
Why is 6√3 irrational or rational?
Oduvanchick [21]

Answer:

irrational.

Step-by-step explanation:

√3 is irrational.

product of rational and irrational number is always irrational.

6×√3=6√3

6 0
3 years ago
Read 2 more answers
Can a zero slope be a function
steposvetlana [31]

Answer:

A zero slope means there is no change in the y -coordinates as the x -coordinates change, so this is a horizontal line.

Step-by-step explanation:

pls give brainliest

6 0
4 years ago
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What is the average (arithmetic mean) of eleven consecutive integers? (1) the average of the first nine integers is 7. (2) the a
laiz [17]

Since eleven is odd, there must be a centra element, which in this case is the sixth. So, we can write 11 consecutive integers as

x-5, x-4, x-3, x-2, x-1, x, x+1, x+2, x+3, x+4, x+5

Since the arithmetic mean is the sum of the values, divided by how many they are, we have

M = \dfrac{x-5, x-4, x-3, x-2, x-1, x, x+1, x+2, x+3, x+4, x+5}{11} = \dfrac{11x}{11} = x

So, the mean of 11 consecutive integers is the 6th integer.

4 0
4 years ago
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