Answer: The scale factor is 4
Step-by-step explanation:
We know that the pyramids are similar. The volume of one of these pyramids is 13,824 cubic feet and the volume of the other one is 216 cubic feet. Then:
By Similar solids theorem, if two similar solids have a scale factor of 
, then corresponding volumes have a ratio of 
Then:
Knowing this, we can find the scale factor. This is:
![\frac{13,824}{216}=\frac{a^3}{b^3}\\\\\frac{13,824}{216}=(\frac{a}{b})^3\\\\\frac{a}{b}=\sqrt[3]{\frac{13,824}{216}}\\\\scale\ factor=\frac{a}{b}=4](https://tex.z-dn.net/?f=%5Cfrac%7B13%2C824%7D%7B216%7D%3D%5Cfrac%7Ba%5E3%7D%7Bb%5E3%7D%5C%5C%5C%5C%5Cfrac%7B13%2C824%7D%7B216%7D%3D%28%5Cfrac%7Ba%7D%7Bb%7D%29%5E3%5C%5C%5C%5C%5Cfrac%7Ba%7D%7Bb%7D%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B13%2C824%7D%7B216%7D%7D%5C%5C%5C%5Cscale%5C%20factor%3D%5Cfrac%7Ba%7D%7Bb%7D%3D4)
Answer:
B. The evidence is very strong - there is NO difference in the proportion of Republicans between the two areas of town.
Step-by-step explanation: Generally, a p-value of less than 0.05 is described as a strong evidence in favour of the null hypothesis. A p-value also known as the probability value is also known to provide the smallest level of evidence at which the null hypothesis would be rejected.
In the question, The p-value is 0.105 which is bigger in value than 0.05 which means there is no significant difference between the evidence and the null hypothesis.
Answer:
D. The sum is a rational expression.
Step-by-step explanation:
the given expression is a/b +c/d
so in the question it is given that b and d are non zero values
a/b is rational number and c/d is a rational number
so if both are rational number , so we know that the sum of rational number is also a rational number.
The right option is D. The sum is a rational expression
Answer:
.375
Step-by-step explanation:
divide 3 by 8
