Within a school district, students were randomly assigned to one of two math teachers - mrs. smith and mrs. jones. after the assignment, mrs. smith had 30 students, and mrs. jones had 25 students. at the end of the year, each class took the same standardized test. mrs. smith's students had an average test score of 78, with a standard deviation of 10; and mrs. jones' students had an average test score of 85, with a standard deviation of 15.
test the hypothesis that mrs. smith and mrs. jones are equally effective teachers. use a 0.10 level of significance. (assume that student performance is approximately normal.)

191 students play sports and ninety-seven 10th graders were surveyed.

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

answer: x=3 and y=4

step-by-step explanation:

80x^8−68x^6+16^5−20x^4−4x^3+8x^2

hope i'm right lol