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velikii [3]
3 years ago
13

In which of the following data sets is the mean equal to the mode?

Mathematics
1 answer:
vazorg [7]3 years ago
5 0

Answer:

The second data set.

Step-by-step explanation:

In Data set 1, mean is 4.8, the mode is 4.

In Data set 2, the mean is 5 and the mode is 5.

In Data set 3, the mean is 4.6 and the mode is 3.

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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
How to solve In 14 + In x = 0
EastWind [94]

Answer:

x = 1/14

Step-by-step explanation:

You can work it as is by subtacting ln(14), then taking antilogs:

ln(x) = -ln(14)

x = 14^-1

x = 1/14

___

Or you can rewrite to a single log and then take antilogs:

ln(14x) = 0

14x = 1

x = 1/14 . . . . . divide by the coeffient of x

7 0
2 years ago
Someone please help me, i’ll mark brainliest answer !
igomit [66]

Answer:

I say that the answer is A, B, and C. I'm not positive but I think that is the answer.

Step-by-step explanation:

Tell me if I'm wrong it might just be B and C.

6 0
2 years ago
Our answer should be a complex number in the form a +bi where a and b are real numbers.
Otrada [13]

Answer:

16 +88i

Step-by-step explanation:

8 x (11i + 2 ) =

Distribute

8*11i + 8*2

88i +16

Writing in the proper form

16 +88i

6 0
2 years ago
What is the sum or difference? 3x^8 + 7x^8
posledela

Answer:

10x^8 is the sum

Step-by-step explanation:

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