You read about a survey in a newspaper and find that 70% of the 250 people sampled prefer candidate a. you are surprised by this survey because you thought that more like 50% of the population preferred this candidate. based on this sample, is 50% a possible population proportion?

50% is not a possible population proportion who support candidate A.

Step-by-step explanation:

I will estimate 95% confidence interval to see if 50% a possible population proportion who support candidate A.

95% Confidence Interval can be calculated using  

CI=p± where

Then CI=0.70±≈ 0.70±0.06

That is 95% confidence interval is (64%, 76%). Since 50% is less than lower CI limit, 50% is not a possible population proportion who support candidate A.

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950