Company a packages roofing nails and boxes that are normally distributed with a mean of 272 nails and a standard deviation of 5.4 nails.
company b packages roofing nails in boxes that are normally distributed with a mean of 249 nails and a standard deviation of 3.8 nails

which company is more likely to produce a box of 260 roofing nails?
explain your answer using z

Company B is more likely to produce a box of 260 roofing nails.

Step-by-step explanation:

Company A :

Mean = 272 nails

Standard deviation = 5.4 nails

Roofing nails expected to be produced = 260

⇒ 260 = 272 + z × 5.4

⇒ z = -2.222

Hence, Company A has a chance of 1.32% of producing exactly or fewer than 260 boxes of roofing nails.

Company B :

Mean = 249 nails

Standard deviation = 3.8 nails

Roofing nails expected to be produced = 260

⇒ 260 = 249 + z × 4.8

⇒ z = 2.895

Hence, Company B has a chance of 0.19% of producing exactly or more than 260 boxes of roofing nails.

Therefore, Company B is more likely to produce a box of 260 roofing nails.

The coordinate plane where the point is 1 unit to the left and 3.5 units down

Step-by-step explanation:

On a coordinate plane the negative side is left and down and positive is up and right so you can eliminate any answer with up or right. The point says its (-1,-3.5) which means it will be 1 to the left making it -1 and 3.5 down which will make it -3.5.