The pattern on a rug is made up of hexagons, as shown below. What is the value of x?
2 answers:
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Answer:
The 95% confidence interval for the mean is between 0.985g/cm² and 1.047 g/cm².
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the mean subtracted by M. So it is 1.016 - 0.0310 = 0.985 g/cm²
The upper end of the interval is the mean added to M. So it is 1.016 + 0.0310 = 1.047 g/cm²
The 95% confidence interval for the mean is between 0.985g/cm² and 1.047 g/cm².
Answer:
Diego's family cannot drive the car for 28 days without the warning light turning on.
Step-by-step explanation:
Since the car uses 0.6 gallons per day, and Diego's family has been driving the car for 28 days, that means the total amount of fuel used is gallons. To determine whether the warning light will be on or not, subtract the total amount of fuel - 18 gallons - by the amount of fuel already used. If the difference is greater than 1.5, that means the warning light will not come on. If the difference is less than or equal to 1.5, that means the warning light will come on.
, since 1.2 gallons is less than 1.5 gallons, that means Diego's family cannot drive the car for 28 days without the warning light turning on.