Answer:
9 inches
Step-by-step explanation:
base is rectangular in shape
Side of base of square pyramid is X inches
height of square pyramid is 1/9 X
Volume of any pyramid is 1/3 *(area of base* height of pyramid)
area of base of square pyramid = Side of base * Side of base
as area of square is equal to side * side
area of base of square pyramid = x* x square inches = 
Volume of pyramid = 1/3 *(area of base* height of pyramid)
substituting given value of of volume of pyramid , height of pyramid and area of base calculated above we have
![27 = 1/3(x^2)*(1/9 x)\\\\27*3*9 = x^3\\729 = x^3\\x = \sqrt[3]{729} \\x = 9](https://tex.z-dn.net/?f=27%20%3D%201%2F3%28x%5E2%29%2A%281%2F9%20x%29%5C%5C%5C%5C27%2A3%2A9%20%3D%20x%5E3%5C%5C729%20%3D%20x%5E3%5C%5Cx%20%3D%20%5Csqrt%5B3%5D%7B729%7D%20%5C%5Cx%20%3D%209)
Therefor value of x is 9 inches.
Answer:
The hypothesis test is right-tailed.
Step-by-step explanation:
We are given that we want to test the claim that the majority of adults are in favor of raising the voting age to 21.
Let p = <u><em>proportion of adults who are in favor of raising the voting age to 21</em></u>
So, Null Hypothesis, 
: p 
50%
Alternate Hypothesis, 
: p > 50%
As we know that the majority is there when we have more 50% chance of happening of that event.
Here, the null hypothesis states that the proportion of adults who are in favor of raising the voting age to 21 is less or equal to 50%.
On the other hand, the alternate hypothesis states that the proportion of adults who are in favor of raising the voting age to 21 is more than 50%.
This shows that our hypothesis test is right-tailed because in the alternate hypothesis, the greater than sign is included.
(15 minutes/hour) x (1 spot / 1/2 minute) x (24 hour/day) = <u><em>720</em></u> spots/day
Answer:
a
Step-by-step explanation:
Answer:
8 7/10
Step-by-step explanation:
