Suppose that on a 100-point test, the teacher's goal is for her students' exam scores to have a standard deviation of less than 11 points. A recent sample of 22 exams has a sample standard deviation of 12.3. Test whether or not her goal was achieved using a 10% level of significance. Calculate the appropriate test statistic (round to 2 decimal places as needed)

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step-by-step explanation:

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

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