Answer:
![\sqrt[5]{x - 9}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%20-%209%7D%20)
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}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7By%20-%209%7D%20)
![y^{-1} = \sqrt[5]{x - 9}](https://tex.z-dn.net/?f=y%5E%7B-1%7D%20%20%3D%20%5Csqrt%5B5%5D%7Bx%20-%209%7D%20)
so inverse function of y=x^5+9 is ![\sqrt[5]{x - 9}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%20-%209%7D%20)
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 25235
For the alternative hypothesis,
µ > 25235
This is a right tailed test.
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 100,
Degrees of freedom, df = n - 1 = 100 - 1 = 99
t = (x - µ)/(s/√n)
Where
x = sample mean = 27524
µ = population mean = 25235
s = samples standard deviation = 6000
t = (27524 - 25235)/(6000/√100) = 3.815
We would determine the p value using the t test calculator. It becomes
p = 0.000119
Since alpha, 0.05 > than the p value, 0.000119, then we would reject the null hypothesis. There is sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area.
A full circle is 360°.
x + 3x + 90° = 360°
4x = 360° - 90°
4x = 270°
4x/4 = 270°/4
x = 67.5°
Hope it helps! Make me brainliest if it’s correct.
Answer:
Exact Form:
6/133
Decimal Form:
0.04511278
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Imagine your going 61 steps per hour and you have already walked 220 steps. You want to walk 677 steps in total. First you minus the amount you have done then each hour add 61 steps which would be the x for each hour