Fractional index means "xth root of". Negative index means a fraction. So together, what it really means is:
![\frac{1}{\sqrt[5]{32}} = \frac{1}{2}.](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%5B5%5D%7B32%7D%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D.)
Answer:
D: 5 : 8 and 20 : 32
Step-by-step explanation:
A is incorrect because 3 x 1.33 = 4 and 4 x 1.25 = 5.
B is incorrect because 10 x 1.6 = 16 and 12 x 1.5 = 18.
C is incorrect because 7 x 1.428 = 10 and 10 x 1.4 = 14.
D is correct because 5 x 4 = 20 and 8 x 4 = 32.
another way of solving the ratio answers is by putting them in a fraction 5/8 = .625 and also does 20/32 = .625.....
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Answer:
b. the area to the right of 2
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, which is also the area to the left of Z. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the area to the right of Z.
In this problem:




Percentage who did better:
P(Z > 2), which is the area to the right of 2.
Answer:
There are currently 50 states in the United States.
The number of states in 1795 in the United States = 15
Now, the fraction of the states that had become a part of the United States by 1795 is given below:
