When full, the gas tank of a car holds 15 gallons. It now contains 12 gallons. What percent represenrs how full the tank is?
1 answer:
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Answer: 4.6 mi
Step-by-step explanation:
Suppose the points A, B, C and S shows Alba, Blare, Cray and Service station respectively,
Then, We have to find out the line segment CS = x = ?
Now, In the triangles ACB and CSB,
( Right angles )
( Reflexive angles )
Thus, by AA similarity postulate,
By the property of similar triangles,
Hence, the approximate length of the new road = 4.6 miles
Answer:
And using a calculator, excel ir the normal standard table we have that:
And we can calculate the probability like this:Step-by-step explanation:
A random sample of 36 observations has been drawn from a normal distribution with mean 50 and standard deviation 12. Find the probability that the sample mean is in the interval 47<=X<53. Is the assumption of normality important. Why?
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where and
Since the distribution for X is normal then we know that the distribution for the sample mean is given by:
We can find the probability required like this:
And using a calculator, excel ir the normal standard table we have that:
And we can calculate the probability like this: