Let n and d represent the numerator and denominator of the fraction.
.. (n +1)/(d +1) = 4/5
.. (n -5)/(d -5) = 1/2
Eliminating fractions from these equations gives
.. 5(n +1) = 4(d +1)
.. 2(n -5) = (d -5)
Subtracting the first equation from 4 times the second gives
.. 4(2(n -5)) -(5(n +1)) = 4(d -5) -(4(d +1))
.. 8n -40 -5n -5 = 4d -20 -4d -4
.. 3n = 21
.. n = 7
.. 2(7 -5) = d -5
.. 9 = d
The fraction is 7/9.
-2z - xy = z + 7
You are solving for x. Note the equal sign. What you do to one side, you do to the other. Isolate the x.
First, add 2z to both sides
-2z (+2z) - xy = z + 7 (+2z)
Simplify. Combine like terms
-xy = z + 2z + 7
-xy = 3z + 7
Completely isolate the x. Divide -y from both sides
(-xy)/-y = (3z + 7)/-y
x = (3z + 7)/-y
Simplify
z = (3z + 7)/(-y) is your answer
hope this helps
Answer: B. 0.036
Step-by-step explanation:
Formula for standard error :

, where p = Population proportion and n= sample size.
Let p be the population proportion of the people who favor new taxes.
As per given , we have
n= 170

Substitute these values in the formula, we get

Hence, the standard error of the estimate is 0.036.
∴ The correct answer is OPTION B. 0.036