9514 1404 393
Answer:
x = 60
Step-by-step explanation:
The angle x is half the sum of the intercepted arcs:
x = (40 +80)/2
x = 60
To calculate the distance between two points, we can use a formula that is a variation Pythagorean Theorem. Look:
![\mathsf{d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}](https://tex.z-dn.net/?f=%5Cmathsf%7Bd%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D%7D)
"d" represents the distance and coordinates are expressed as follows: (x, y)
Let's go to the calculations.
The answer is 10 uc.
Hello!
Answer:
36.225
Step-by-step explanation:
Hope this helps!
Answer:
(4;0)
Step-by-step explanation:
y=0
2x-3×0=8
2x=8
x=4
Answer: (751.05, 766.95)
Step-by-step explanation:
We know that the confidence interval for population mean is given by :-
,
where
=population standard deviation.
= sample mean
n= sample size
z* = Two-tailed critical z-value.
Given : ![\sigma= 20](https://tex.z-dn.net/?f=%5Csigma%3D%2020)
n= 42
![\overline{x}=759](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D759)
We know that from z-table , the two-tailed critical value for 99% confidence interval : z* =2.576
Now, the 99% confidence interval around the true population mean viscosity :-
![759\pm (2.5760)\dfrac{20}{\sqrt{42}}\\\\=759\pm (2.5760)(3.086067)\\\\=759\pm7.9497=(759-7.9497,\ 759+7.9497)\]\\=(751.0503,\ 766.9497)\approx(751.05,\ 766.95)](https://tex.z-dn.net/?f=759%5Cpm%20%282.5760%29%5Cdfrac%7B20%7D%7B%5Csqrt%7B42%7D%7D%5C%5C%5C%5C%3D759%5Cpm%20%282.5760%29%283.086067%29%5C%5C%5C%5C%3D759%5Cpm7.9497%3D%28759-7.9497%2C%5C%20759%2B7.9497%29%5C%5D%5C%5C%3D%28751.0503%2C%5C%20766.9497%29%5Capprox%28751.05%2C%5C%20766.95%29)
∴ A 99% confidence interval around the true population mean viscosity : (751.05, 766.95)