A bag contains 20 marbles of the same size that are blue, green, and red. The probability of picking a blue marble is 20%. The p
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Answer:
a
,
b
c
Step-by-step explanation:
From the question we are are told that
The sample data is 21, 14, 13, 24, 17, 22, 25, 12
The sample size is n = 8
Generally the ample mean is evaluated as
Generally the standard deviation is mathematically evaluated as
considering part b
Given that the confidence level is 90% then the significance level is evaluated as
Next we obtain the critical value of from the normal distribution table the value is
The margin of error is mathematically represented as
=>
=>
The 90% confidence interval is evaluated as
substituting values
considering part c
Given that the confidence level is 95% then the significance level is evaluated as
Next we obtain the critical value of from the normal distribution table the value is
The margin of error is mathematically represented as
=>
=>
The 95% confidence interval is evaluated as
substituting values
To solve for the area of a triangle, we multiply the length and height, then divide that by two. L = 10. H = 7.
To solve for the perimeter, or edges, of the triangle, we need to use the Pythagorean Theorem: a² + b² = c² to solve for the third side. We already know two measures: 10 and 7. Now we need to square them, add them together to get c², then take the root of that number.
We cannot simplify √149, so we either leave it, or round it.
This is rounded to the nearest 10,000.
Now that we have the measure of the longest side, we can add all three sides together to get the perimeter of the triangle.