Answer:
The test statistic is z = 1.865.
Step-by-step explanation:
The test statistic is:
In which X is the sample mean,
is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
H0: p = 0.11
This means that 0.11 is tested at the null hypothesis, and so:
![\mu = 0.11](https://tex.z-dn.net/?f=%5Cmu%20%3D%200.11)
![\sigma = \sqrt{0.11*0.89} = 0.3129](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%5Csqrt%7B0.11%2A0.89%7D%20%3D%200.3129)
The engineer weighs 94 bags and finds that 16 of them are over-filled.
This means that:
![n = 94, X = \frac{16}{94} = 0.1702](https://tex.z-dn.net/?f=n%20%3D%2094%2C%20X%20%3D%20%5Cfrac%7B16%7D%7B94%7D%20%3D%200.1702)
What is the test statistic?
![z = 1.865](https://tex.z-dn.net/?f=z%20%3D%201.865)
The test statistic is z = 1.865.
Answer:
The median would be 18,not enough info for the Interquartile range, and range is 10 to 28
Step-by-step explanation:
You all ready said the answers but, the interquartile range.
Answer:
Maximum
Step-by-step explanation:
The green dot repesents the max height of the parabola.
Helpful tip:
If the graph opens up then the vertex is a min
If the graph opens down then the vertex is a max
Answer:
![f^{-1}(x) = log_{12}(y)](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20log_%7B12%7D%28y%29)
Step-by-step explanation:
We have the following function
y = 12^x, and we need to find the inverse function.
To find the inverse function we should solve the equation for "x". To do so, first, we need to:
1. Take the logarithm in both sides of the equation:
lg_12 (y) = log _12 (12^x)
(Please read lg_12 as: "Logarithm with base 12")
From property of logarithm, we know that lg (a^b) = b*log(a)
Then:
lg_12 (y) = x*log _12 (12)
We also know that log _12 (12) = 1
Then:
x = log_12(y).
Then, the inverse of: y= 12^x is:
![f^{-1}(x) = log_{12}(y)](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20log_%7B12%7D%28y%29)
Answer:
point "A" and "B"
Step-by-step explanation:
The hypotenuse is the diagonal side of a right triangle.I hope that helped!