Meg makes a dot plot for the data 9, 9, 4, 5, 5, 3,<br>
4,5, 3, 8, 8, 5. Where does a gap occur?
Papessa [141]
The gap consists of the values 6 and 7.
Check out the dot plot below to see what I mean. We have one cluster on the left from 3 to 5. Then another cluster on the right from 8 to 9.
Answer:
![\displaystyle 2^{\frac{6}{5}}=2\sqrt[5]{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%202%5E%7B%5Cfrac%7B6%7D%7B5%7D%7D%3D2%5Csqrt%5B5%5D%7B2%7D)
Step-by-step explanation:
<u>Fractional Exponents</u>
An expression like

can be expressed as a radical of the form:
![\sqrt[m]{a^n}](https://tex.z-dn.net/?f=%5Csqrt%5Bm%5D%7Ba%5En%7D)
We have the expression:

Its equivalent radical form is:
![\displaystyle 2^{\frac{6}{5}}=\sqrt[5]{2^6}](https://tex.z-dn.net/?f=%5Cdisplaystyle%202%5E%7B%5Cfrac%7B6%7D%7B5%7D%7D%3D%5Csqrt%5B5%5D%7B2%5E6%7D)
Since the exponent is greater than the index of the radical, we can take 2 out of it by following the procedure:
![\sqrt[5]{2^6}=\sqrt[5]{2^5\cdot 2}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B2%5E6%7D%3D%5Csqrt%5B5%5D%7B2%5E5%5Ccdot%202%7D)
Taking out
from the radical:
![\sqrt[5]{2^6}=2\sqrt[5]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B2%5E6%7D%3D2%5Csqrt%5B5%5D%7B2%7D)
Thus:
![\displaystyle 2^{\frac{6}{5}}=2\sqrt[5]{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%202%5E%7B%5Cfrac%7B6%7D%7B5%7D%7D%3D2%5Csqrt%5B5%5D%7B2%7D)
Well there are 12 inches in 1 foot so
12x9=108
so
111-108=3
so
The average length of a female white beaked dolphin is 9 feet and 3 inches.
Answer:
1st answer is 108
Step-by-step explanation:
108 is equivalent to 54 because 10 x 4 = 8 x 5 = 40. 1512 is equivalent to 54 because 15 x 4 = 12 x 5 = 60. 2016 is equivalent to 54 because 20 x 4 = 16 x 5 = 80