1. Government laws require that new showerhead flow rates be no more than 2.5 gallons per minute. If you take one 10-minute show
er a day, the following measurement equalities apply: 2.5 gallons = 1 minute. 10 minute = 1 shower. 1 shower = 1 day.
2. Do you agree with your classmates conjecture? Given your answer for question 1 and the information below, do you think the amount water wasted by the leaky faucet over the course of 1 day is closer to the estimate of 1 cup, 1 gallon or 1 least shower?
3. How much water is wasted by the least faucet in 1 day? How many drips? How many gallons? How many cups?
4. A :Time to review the accuracy of your conjecture and that of your classmate.. is your classmates conjecture true? That the amount of wasted water per day is equivalent to the amount of water used by 1 shower. Is
B: Based on your calculation in question 1. How many gallons of water a 10 minute shower uses and your estimate in question 3 the number of gallons of water used in a day by a leaky faucet. Round to the nearest day.
2. Do you agree with your classmates conjecture? Given your answer for question 1 and the information below, do you think the amount water wasted by the leaky faucet over the course of 1 day is closer to the estimate of 1 cup, 1 gallon or 1 least shower?
3. How much water is wasted by the least faucet in 1 day? How many drips? How many gallons? How many cups?
4. A :Time to review the accuracy of your conjecture and that of your classmate.. is your classmates conjecture true? That the amount of wasted water per day is equivalent to the amount of water used by 1 shower. Is
B: Based on your calculation in question 1. How many gallons of water a 10 minute shower uses and your estimate in question 3 the number of gallons of water used in a day by a leaky faucet. Round to the nearest day.
1 answer:
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Answer:
a) The probability is the p-value of , in which X is the gas mileage of the 2020 Honda Civic.
b) Your dad's truck is 1.65 standard deviations below the mean.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Normal with mean 22.6 miles per gallon (mpg) and standard deviation 5.2 mpg.
This means that
a. What proportion of vehicles have worse gas mileage than the 2020 Honda Civic?
This is the p-value of Z, given by:
In which X is the gas mileage of the 2020 Honda Civic.
b. My dad has a truck that gets around 14 mpg. How many standard deviations from the mean is my dad's truck?
This is Z when X = 14. So
Your dad's truck is 1.65 standard deviations below the mean.