Which of the following is equivalent to (5)7/3
2 answers:
The given expression be then the value exists ³√5⁷.
The base number exists raised to a power of the exponent numerator and estimated to the root of the exponent denominator.
Given:
The given expression contains an exponent of (7/3)
When we exist transforming from exponential form to radical form you always place the numerator as our constant's exponent in the radical ( exists named the radicand because it exists found in the radical) and the denominator in front of the radical, where it would be named the index.
The formula would be:
Therefore, the correct answer is ³√5⁷.
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Answer:
Yes, it does.
Step-by-step explanation:
<em>Since the data is approximately Normally distributed and the sample is less than 30, we will be using the Student's t Distribution. </em>
: The life expectancy of people living in rural Idaho is 77 years
: The life expectancy of people living in rural Idaho is greater than 77 years.
So, this is a right-tailed test.
Our t-statistic is given by
where
= 79.14 is the mean of the sample
= 77 is the mean of the null hypothesis
s = 2.48 is the sample standard deviation
n = 11 is the sample size
Computing our t-statistic we get
Now, we obtain the critical upper value for a right-tailed test hypothesis corresponding to a 10% level of significance associated with the Student's t Distribution with 10 degrees of freedom (sample size-1). This is a value
such that the area under the t distribution to the left of
equals 10% = 0.01
We can do it either by looking up a table or a spreadsheet.
In Excel use
<em>TINV(0.2,10) </em>
In OpenOffice Calc use
<em>TINV(0.2;10) </em>
and we would get = 1.3722
Since our t-statistic is greater than we can reject the null hypothesis and say this sample provide evidence that people living in rural Idaho communities live longer than 77 years.