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daser333 [38]
3 years ago
10

Please Help!!!!

Mathematics
1 answer:
elixir [45]3 years ago
8 0
The area is 16 because the triangles length is 8 and the right is 4 so you multiply them and then you divide the answer of 8x4 into 2
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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
What is the expression for the calculation triple 4 and then add 7 times 7
Vesna [10]
4^3+7(7) in my opinion or 4^3+7*7
 
8 0
3 years ago
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Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation. If y
dsp73
Y=k/x²; substitute x=1 and y=1/8: 1/8=k. So y=1/(8x²)
When x=5, y=1/(8×25)=1/200.
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3 years ago
4x-1=y graphed by using a table
olasank [31]

Answer:

It can be many answers since it’s on a graph

Step-by-step explanation:

That equation isn’t the rule so test it out on number so and you will get point to put on a graph

5 0
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WHICH ONE DOESN'T BELONG? Which figure does not belong with the other three? Explain your reasoning.
juin [17]
The sphere. All the others are prisms.
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3 years ago
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