Solve for x: 1/2x + 1/3x - 4 = 5/6(x + 6)

No solution

Step-by-step explanation:

Lets start by simplifying everything out, and then try to get all of the x's on one side of the equation.

1/2x + 1/3x - 4 = 5/6(x+6)

Simplify and distributive property

5/6x - 4 = 5/6x + 5

Lets subtract 5/6x from both sides to try and get rid of the x from the right side of the equation. (Now, as you may already see, is we try to get all of the x's on one side of the equation, the x's will cancel out, and we will be left with no solution.)

5/6x - 4 - 5/6x = 5/6x + 5 - 5/6x

Simplify

-4 = 5

Because we ended up with something in the form a = b and a ≠ b, there is no solution. (If a = b, then there would be an infinite number of solutions.)

I hope you find this helpful. Let me know if anything in my answer confuses you. Happy studying.

H0 : p = 0.5

H1 : p ≠ 0.5

Two tailed test

Step-by-step explanation:

The test if the true proportion of heads is different from 50%; this means the initial truth, that is the true proportion is 50% ; which is the null ;

H0 : p = 0.5

The researcher intends to test if the true proportion is not 50% ; that is the researcher is n spwcudfic about if the proportion is lower or higher, he just wants to test that the proportion is different, hence the test could go either way ;

Alternative hypothesis ;

H1 : p ≠ 0.5

Since the sign in the alternative hypothesis could be in either direction, then we have a two tailed test