Answer: 14gallons
Step-by-step explanation:
12gallons/144miles = 1gallon/12miles
Therefore 6gallons = 12*6 = 72miles.
In order to cover 240miles, she will need 240/12 = 20gallons.
20-6 = 14gallons
She will need 14gallons of gas more.
Answer:
And for the other case if we use the z score and the complement rule we have:
And we can find the probability of interest like this:
And replacing we got:
Step-by-step explanation:
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:
We assume that the distribution is
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we find the individual probabilities we got:
And for the other case if we use the z score and the complement rule we have:
And we can find the probability of interest like this:
And replacing we got:
Answer:
67.5 in³
Step-by-step explanation:
Given that :
Volume 1 = 540 in³
Volume 2 of similar shape = x ; if the scale factor = 1/2
Volume of a shape = length * width * height)
The scale factor = 1/2
Volumetric factor = 1/2 * 1/2 * 1/2 = 1/8
Hence, the volume of similar sculpture will be :
540 in³ * 1/8 = 67.5 in³
You would probably find it on the altitude or height.