You are curious whether acts of kindness have the same effect on college students. You convince your psychology professors to assign their students to do three random acts of kindness a week for a semester. At the end of the semester, you test the happiness of the students. You find that they have a mean happiness level of 6.55 (out of 8) with a standard deviation of 0.60. The national mean level of happiness for college students is 5.90 with an unknown standard deviation. Given this, would you start doing three random acts of kindness a week?

Yes,because the mean happiness level of the students who did three random act of kindness a week is more than the national  mean average.

Step-by-step explanation:

Given that:

the mean happiness level of 6.55 (out of 8)

the standard deviation of the mean happiness level is 0.60

The national mean level of happiness for college students is 5.90

with an unknown standard deviation.

The question is to deduce that would you start doing three random acts of kindness a week.

Yes,because the mean happiness level of the students who did three random act of kindness a week is more than the national  mean average.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1