Answer:
Option (a) 45.31
Step-by-step explanation:
Data provided in the question:
Standard deviation, σ = 0.08 mm
Sample size, n = 30
standard deviation of 30 samples, s = 0.10
Now,
σ² = (0.08)² = 0.0064
s² = (0.10)² = 0.01
Test Statistic = [ ( n - 1) × s²] ÷ σ²
or
Test Statistic = [ (30 - 1 ) × 0.01 ] ÷ 0.0064
= ( 29 × 0.01 ) ÷ 0.0064
= 45.31
Hence,
Option (a) 45.31
6/12 = 1/2
x/22 = 1/2
2x = 22
x = 11
length of PW = 11
Answer:
1.) f(-2)=g(4)
2.) f(0) = g(-2)
3.) f(-4)=g(-2) and f(4)=g(4)
4.) -9
Step-by-step explanation:
Answer:
0.74
Step-by-step explanation:
The standard deviation of a data set is the sqaure root of the variance, so first we must find the variance. The equation for variance is:
σ² = ![\frac{{(x_{1}-[x bar] )}^{2}+...+{(x_{n}-[x bar]) }^{2}}{n}](https://tex.z-dn.net/?f=%5Cfrac%7B%7B%28x_%7B1%7D-%5Bx%20bar%5D%20%29%7D%5E%7B2%7D%2B...%2B%7B%28x_%7Bn%7D-%5Bx%20bar%5D%29%20%7D%5E%7B2%7D%7D%7Bn%7D)
x = number in the data set
xbar = median of the data set
n = number of terms
Plugging in the given values, the equation for the variance of this number set is:
σ² = 
Solving:
= 
= 
σ² = 0.546875
Since the standard devianation is the sqaure root of the variance, we'll sqaure 0.546875:

= 0.73950997288745
= 0.74 (rounded)
hope this helps!