DRUGS R US is a large manufacturer of various kinds of liquid vitamins. The quality control department has noted that the bottles of vitamins marked 6 ounces vary in content with a standard deviation of 0.4. Assume the contents of the bottles are normally distributed. 4.23% of bottles will have more than how many ounces?

4.32% of the bottles will have more than 12.86 ounces.

Step-by-step explanation:

This is a normal distribution problem with

Mean = μ = 6 ounces

Standard deviation = σ = 0.4 ounce

Let the z-score of 4.32% of the bottles be z' and the corresponding ounces be x'

The z-score for any is the value minus the mean then divided by the standard deviation.

z' = (x' - μ)/σ

P(x > x') = P(z > z') = 0.0432

Using the normal distribution table

P(z > z') = 1 - P(z ≤ z') = 0.0432

P(z ≤ z') = 1 - 0.0432 = 0.9568

z' = 1.715

1.715 = (x' - 6)/0.4

x' - 6 = 4(1.715)

x' = 6 + 6.86 = 12.86 ounces.

4.32% of the bottles will have more than 12.86 ounces.

Hope this Helps!!!

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.