Simone applied the distributive property using the greatest common factor to determine the expression that is equivalent to 24 +
1 answer:
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Answer:
So on this case the 95% confidence interval would be given by (11.393;15.857)
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Data: 14, 10, 13, 16, 12, 18, 15, 11
We can calculate the sample mean and deviation with the following formulas:
represent the sample mean
population mean (variable of interest)
s=2.669 represent the sample standard deviation
n=8 represent the sample size
Calculate the confidence interval
The confidence interval for the mean is given by the following formula:
(1)
In order to calculate the critical value we need to find first the degrees of freedom, given by:
Since the confidence is 0.95 or 95%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,7)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 95% confidence interval would be given by (11.393;15.857)
Answer:
Step-by-step explanation:
The factorization of x² - 5x + 6 can be determined thinking critically about two numbers, that if we multiply those two numbers together it will result into a value of +6 and if we add those numbers together , we will have -5
The numbers are -3 and -2 ; if we multiply -3 and -2 , we have = 6
If we add -3 + (-2) ; we have,
-3-2 = -5
Now the factorization of
x² - 5x + 6 = 0 is as follows.
x² - 3x - 2x + 6
By factorization,
x(x - 3) - 2 (x - 3) = 0
(x - 2) or (x-3) = 0
Now, using An algebra tile configuration. The diagrammatic expression showing how an algebraic tile configuration should looks like can be found in the attached image below.
Hint:
Let represent ,
1 = x² tile
-5 = - x tiles
6 = 1 tiles
Answer:
Step-by-step explanation:
The triangle CDE is shown in the image attached.
The formula for calculate the distance between two points is:
Then, we can calculate the lenght of each side of the triangle:
Therefore, the perimeter is:
