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frutty [35]
2 years ago
11

Select all that are equivalent to the expression x^-1/3

Mathematics
1 answer:
rusak2 [61]2 years ago
6 0

Answer:

1/∛x

Step-by-step explanation

Based on the therem of power of exponents;

a^-m = 1/a^m

Given the expression

x^-1/3

On comparison, you ca see that;

a = x

m = 1/3

Substitute into the general formula;

x^-1/3 = 1/a^1/3

Also, a^{\frac{1}{x} } = \sqrt[x]{a}

Hence;

\frac{1}{x^{\frac{1}{3} } } = \frac{1}{\sqrt[3]{x} }

This that the required expression is 1/∛x

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Answer is $506.25.
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What is the critical f-value when the sample size for the numerator is four and the sample size for the denominator is seven? us
fgiga [73]

Assuming that we are performing a two-tailed test, the significance level is α = 0.1 would be dispersed in the distribution's tails with α/2  = 0.05.

And we must consider two critical values that add up to 0.05 of a area on every tail of a F distribution with a 10 degree angle.

\begin{aligned}&F_{\alpha / 2}=0.311 \\&F_{1-\alpha / 2}=4.06\end{aligned}

<h3>What is critical f-value?</h3>

An F statistic is one that is ascertained through an ANOVA test. It helps determine the relevance of the variable groups.

Now, according to the question;

We understand that sample size for numerator is 11 and also the sample size for denominator is 7. So, for each case, we can calculate a degrees of freedom as follows:

\begin{aligned}&d f_{\text {num }}=11-1=10 \\&d f_{d e n}=7-1=6\end{aligned}

In this case, the F distribution could have 10 degrees of freedom with in numerator as well as 6 degrees of freedom in the denominator.

Assuming we are conducting a two-tailed test, the significance level of α = 0.1 will be distributed in the tails of the distribution with α/2  = 0.05.

Now, locate two critical values that collect 0.05 of a area on every tail of F distribution to 10 degrees of freedom again for numerator and 6 degrees of freedom for the denominator and we obtained using a table or excel;

\begin{aligned}&F_{\alpha / 2}=0.311 \\&F_{1-\alpha / 2}=4.06\end{aligned}

Therefore, the critical f-value for the two-tailed experiment is found.

To know more about the critical f-value, here

brainly.com/question/17164520

#SPJ4

5 0
1 year ago
What is the solution set of the equation using the quadratic formula?
oee [108]

(1)

we are given

x^2+6x+10=0

we can use quadratic formula

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

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now, we can plug these values into quadratic formula

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x=\frac{-6-\sqrt{6^2-4\cdot \:1\cdot \:10}}{2\cdot \:1}

x=-3-i

so, we will get solution

{−3+i, −3−i}.........Answer

(2)

we are given equation as

x^2-8x+14=0

Since, Jamal solve this equation by completing square

so, firstly we will move constant term on right side

so,  subtract both sides by 14

x^2-8x+14-14=0-14

x^2-8x=-14

we can write

-8x=-2\times 4\times x

so, we will add both sides by 4^2

x^2-8x+4^2=-14+4^2

we get

x^2-8x+16=-14+16..............Answer


4 0
2 years ago
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