The areas of two similar triangles are 18 cm^2 and 8 cm^2. One of the sides of the first triangle is 4.5 cm. What is the length
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Answer and Step-by-step explanation: The null and alternative hypothesis for this test are:
To test it, use F-test statistics and compare variances of each treatment.
Calculate F-value:
F = 1.8356
The <u>critical value of F</u> is given by a F-distribution table with:
degree of freedom (row): 20 - 1 = 19
degree of freedom (column): 20 - 1 = 19
And a significance level: α = 0.05
= 2.2341
Comparing both values of F:
1.856 < 2.2341
i.e. F-value calculated is less than F-value of the table.
Therefore, failed to reject , meaning there is <u>no sufficient data to support the claim</u> that sham treatment have pain reductions which vary more than for those using magnets treatment.
The rate of change from 1995 to 2010 is 20 students per year and the linear function that models the data will be:
<em><u>Explanation</u></em>
In the year 1995, there were 1200 students and in the year 2010, there were 1500 students.
If represents the year and
represents the number of students, then two points in form of
will be:
and
So, the rate of change or slope = (change in value of y / change in value of x)
Now, plugging slope = 20 and first point
into <u>point slope form of linear equation</u>
, we will get.....