If two solids are similar the ratio of the corresponding sides is called the linear scale factor while the ratio of the areas is called the area scale factor and the ratio of their volumes is the volume scale factor.
v.s.f = (l.s.f)³
in this case, the l.s.f = 5/15 = 1/3
therefore, the V.S.F = (1/3)³ = 1/27
Thus the volume of the larger prism = 60 ×27
= 1620 cm³
Answer: 9.2 inches
Step-by-step explanation:
We know that the sports stadium is 180 ft tall and that in the scale model there is 2 in for every 30 ft. If we divide 180 by 39 we get 4.6. There is 2 in for every 30 ft, so the answer would be 4.6 x 2 or 9.2 in.
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:
Wasnt sure if it was 3n plus or minus 4, but i hope this helps .