According to Chef Robert Sevaly, pressure cookers "really are a timesaver, cutting your cooking time by three-fourths." If a person spends an average of 10 hours cooking per week, how much cooking time would be saved in a month and a year, respectively? If an average household spends 20$ in natural gas for cooking per month, how much money would be saved by using a pressure cooker in one year?

1. Cooking time saved in a month = 42.86 * 3/4 = 32 hours

2. Cooking time saved in a year = 520 * 3/4 = 390 hours

3. Since the household saves 390 hours in a year using pressure cooker, it will then save 390 * $2 = $780

Step-by-step explanation:

Hours spent cooking on average per week = 10 hours

Hours spend cooking on average per day = 1.43 (10/7), assuming 7 days in a week

Total hours spent on average per month = 42.86 (30 * 10/7), assuming 30 days in a month

Total hours spent on average per year = 520 (52 * 10) hours, assuming 52 weeks in a year.

Savings in time = 3/4

Therefore, the cooking time saved in a month = 42.86 * 3/4 = 32 hours

And the cooking time saved in a year = 520 * 3/4 = 390 hours

If on the average, a household spends $20 in natural gas for cooking per month, the money it would save by using a pressure cooker in a year will be equal to:

Cost of each hour of cooking without pressure cooker = $20/10 = $2 per hour

Since the household saves 390 hours in a year using pressure cooker, it will then save

= Hours saved multiplied by hourly cost of gas

= 390 * $2

= $780

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0