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2 years ago

Find the inverse function of y=x^5+9

Mathematics

2 answers:

ollegr [7]2 years ago

3 0

Answer:

$\sqrt[5]{x - 9}$

Step-by-step explanation:

y=x^5+9

To find inverse function make x the subject, first:

y=x^5+9

y - 9 = x^5

x = $\sqrt[5]{y - 9}$

$y^{-1} = \sqrt[5]{x - 9}$

so inverse function of y=x^5+9 is $\sqrt[5]{x - 9}$

makvit [3.9K]2 years ago

3 0

Answer:

f
−
1
(
x
)
=
5
√
x
−
9

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Answer:

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The lower limit on the confidence interval is -$2164.21.

The upper limit on the confidence interval is -$299.13.

Step-by-step explanation:

The sample data is:

Gender Mean Std. dev. n

Female 2577.75 1916.29 67

Male 3809.42 2379.47 33

We have to calculate a 95% confidence interval for the difference between means, with a T-model.

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The sample 2, of size n2=33 has a mean of 3809.42 and a standard deviation of 2379.47.

The difference between sample means is Md=-1231.67.

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The estimated standard error of the difference between means is computed using the formula:

$s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{1916.29^2}{67}+\dfrac{2379.47^2}{33}}\\\\\\s_{M_d}=\sqrt{54808.468+171572.045}=\sqrt{226380.513}=475.795$

The t-value for a 95% confidence interval is t=1.96.

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$MOE=t\cdot s_M=1.96 \cdot 475.795=932.54$

Then, the lower and upper bounds of the confidence interval are:

$LL=M_d-t \cdot s_{M_d} = -1231.67-932.54=-2164.21\\\\UL=M_d+t \cdot s_{M_d} = -1231.67+932.54=-299.13$

The 95% confidence interval for the difference between means is (-2164.21, -299.13).

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