The maximum weight that a rectangular beam can support varies jointly as its width and the square of its height and inversely as its length. If a beam 1/4 foot wide, 1/3 foot high, and 14 feet long can support 12 tons, find how much a similar beam can support if the beam is one half 1/4 foot wide, one third 1/2 foot high, and 15 feet long?

The probability that none of the three shoppers purchased electronics is 0.528

Step-by-step explanation:

Completing missing parts of the question

Electronics - 18

Pet supplies - 25

Toys - 40

Office supplies - 12

Total = 95

The probability that none of the three shoppers purchased electronics is calculated as follows.

Electronics Shoppers = 18

Non electronic shoppers = 95 - 18 = 77

Probability without replacement;

Probability that the first shopper didn't buy electronics = 77/95

Probability that the second shopper didn't buy electronics = 76/94

Probability that the third shopper didn't buy electronics = 75/93

Multiplying these values gives us our result.

Probability = 77/95 * 76/94 * 75/93

Probability = 0.528483184625943

Probability = 0.528 --- approximated

Hence, the probability that none of the three shoppers purchased electronics is 0.528