Isurveyed 40 people from a poor area of town and 60 people from an affluent area of town about their feelings towards minorities. i counted the number of negative comments made. i was interested in comparing their attitudes. the average number of negative comments in the poor area was 16 and in the affluent area was11. the standard deviations were 6 and 3 respectively. let's determine a 95% confidence interval for the difference in mean negative comments. (in 2 decimal) a) 3.23paμμ< −< 7.69 b) 1.56paμμ< −< 8.11 c) 2.63paμμ< −< 7.36 d) 2.99paμμ< −< 7.01

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.