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kramer
3 years ago
8

Analyze the diagram below and complete the statement that follows.

Mathematics
1 answer:
Art [367]3 years ago
3 0
The perimeter is the combined length of the three sides (disregard the height given in the diagram).

13+21+20=54

Final answer: D
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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
Instructions: Given the following image of two parallel lines cut by a transversal, find the value of x.​
mash [69]

Answer:

First, these angles are alternate interior angles.

10x - 5 = 9x + 1

x = 6

Step-by-step explanation:

(10x - 5)° and (9x + 1)° are alternate interior angles. Thus, they are congruent to each other.

Thus, to find x, we will set each angle equal to the other.

10x - 5 = 9x + 1

Solve for x. Collect like terms

10x - 9x = 5 + 1

x = 6

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2 years ago
EASY WORK!! Plz look at the photo and yes it’s easy for other people but not me .
Svetach [21]

Answer: 48

Step-by-step explanation:

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A man is four times as old as his son. 10 years later, the man will be three times as old as his son. What is the man’s current
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Answer:

The son is 20 and the father is 80.

Step-by-step explanation:

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3 years ago
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Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation
olchik [2.2K]

Answer: x= 1

Step-by-step explanation: solve for  x  by simplifying both sides of the equation, then isolating the variable.

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