Liz is a jewelry artist selling necklaces at the New Castle Farmers Market. It costs $135 to rent a table at the Farmers Market. The cost of the materials for each necklace is $4.50. Madison is selling the necklaces at $9 each. The inequality 9n>135+4.50n represents the situation in which Liz makes a profit.

a. Will Liz make a profit if she sells 15 necklaces? Explain how you know.

b. Write an inequality to show the number of necklaces, n, Madison must sell to make a profit.

This question is incomplete, the complete question is;

Radio frequency identification (RFID) is an electronic scanning technology that can be used to identify items in a number of ways. One advantage of RFID is that it can eliminate the need to manually count inventory, which can help improve inventory management. The technology is not infallible, however, and sometimes errors occur when items are scanned. The probability that a scanning error occurs is 0.0062.

- find the probability that the number of items scanned incorrectly is between 14 and 25, inclusive, from the next 4600 items scanned.

the probability that the number of items scanned incorrectly is between 14 and 25, inclusive, from the next 4600 items scanned is 0.2819

Step-by-step explanation:

Given that;

n = 4600

p = 0.0062

now mean of distribution μ  = n × p = (4600 × 0.0062) = 28.52

standard deviation σ = √(np(1-p)) =  √(4600 × 0.0062(1 - 0.0062 ))  = 5.3238

for normal distribution z-score = (X-μ) / σx    

therefore from the normal approximation of continuity correction and binomial distribution;

probability = P(13.5 < X < 25.5)

= P( -2.82 < Z < -0.57 )

= 0.2853 - 0.0024

= 0.2819

therefore the probability that the number of items scanned incorrectly is between 14 and 25, inclusive, from the next 4600 items scanned is 0.2819