Answer:
a) x = 80.40
s = 29.54
b) lower limit = 69.53
upper limit = 91.27
Step-by-step explanation:
The mean price is:

The standard deviation is
![s=\sqrt{\frac{1}{n-1}\sum(x_i-\bar X)^2}=\sqrt{\frac{1}{19}[(50-80.4)^2+...+(70-80.4)^2]} \\\\s=\sqrt{\frac{15,471}{19} }=\sqrt{814.25} =29.54](https://tex.z-dn.net/?f=s%3D%5Csqrt%7B%5Cfrac%7B1%7D%7Bn-1%7D%5Csum%28x_i-%5Cbar%20X%29%5E2%7D%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B19%7D%5B%2850-80.4%29%5E2%2B...%2B%2870-80.4%29%5E2%5D%7D%20%5C%5C%5C%5Cs%3D%5Csqrt%7B%5Cfrac%7B15%2C471%7D%7B19%7D%20%7D%3D%5Csqrt%7B814.25%7D%20%3D29.54)
We have to calculate a 90% CI for the mean.
The z-value for a 90% confidence interval is z=1.645.
The margin of error is:

The 90% CI is

Answer:
Plane: C) A flat surface that extends infinitively and has no depth; it has length and width
Perpendicular Lines: B) Two lines that intersect at 90° angles
Parallel Lines: E) Two lines that lie within the same plane and never intersect
Circle: D) A set of all points in a plane that are given distance from a plane
Angle: A) A figure consisting of two rays with a common endpoint
I hope this helps
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Answer:
4
Step-by-step explanation:
I'm guessing 15 mm is the side length.
V = a^3
Where 'a' is the side length.
V = 15^3
V = 3375
So the volume of the cube is 3375 mm^3.
Answer:
y = (1/4)x + 5/2
Step-by-step explanation:
The lines slope needs to be opposite of the equation's so its positive (1/4)
This is the only slope listed that is that number so no need to calculate for the y value!