26. Students who take a statistics course are given a pre-test on the concepts and skills for the first chapter of a statistics course. Then they are given a post-test once the professor has concluded lecturing on the material Pre-test and post-test
scores for 4 students in an elementary statistics class are given below. Can it be concluded that the test scores have
improved? The standard deviation is 6.02. Use a = .05.
Pre-test
65 70 75 84
Post-test
80 82 85 85
Difference 15 | 12 101
a Hypotheses:
b. Test Statistic.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

other answer is correct. i had used the radius of the radius somehow. a website: