A poll conducted in a country found that 60% of adults believe that fake news is causing confusion about basic facts of current issues and events. Suppose that the researchers are 99% confident that the result from the poll is off be fewer that 2.6 percentage points from the actual adults who feel this way. Express this situation as an inequality involving absolute value, then solve the inequality for x to determine the interval in which the actual percentage is likely to fall. [Note: In statistics, this interval is called a 99% confidence interval.]

step-by-step explanation:

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal