Answer:
A- (b+ c)
Step-by-step explanation:
A- (b+c)
that's the answer :)
Answer:
99,7 %
Step-by-step explanation:
P [ 45,4 < X < 64,6 ] ???
P [ 45,4 < X < 64,6 ]
for X = 45,4
z₁ = ( X - μ₀ ) / σ
z₁ = 45,4 - 55 / 3,2
z₁ = - 9,6 / 3,2
z₁ = - 3
And fom z-table we find P [ X = 45,4 ] = 0,0013 or 0,13 %
z₂ = ( 64,6 - 55 )/ 3,2
z₂ = 3
And from z-table we find P [ X = 64,6 ] = 0,9987 or 99,87 %
Then
P [ 45,4 < X < 64,6 ] = 99,87 - 0,13 = 0,9974 or 99,74 %
Now if we look at the values:
μ₀ - 3*σ and μ₀ + 3*σ
we find 55 - 3*3,2 = 55 - 9,6 = 45,4 and 55 + 9,6 = 64,6
We know according to the empirical rule that values from μ₀ ± 3*σ will contains 99,7 % of all values
Answer:
10.9512
Step-by-step explanation:
Answer:
the correlation coefficient of the line of best fit is, 0.98247.
Step-by-step explanation:
Correlation Coefficient are used to find how strong relationship between the data. It expressed its values between +1 and -1. It is represented by r.
* if 0<r<1 indicates a strong positive relationship.
* -1<r <0 indicates a strong negative relationship.
* r=0 indicates no relationship at all.
The formula for this :
![r = \frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2-(\sum x)^2][n\sum y^2-(\sum y)^2]}}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5Bn%5Csum%20x%5E2-%28%5Csum%20x%29%5E2%5D%5Bn%5Csum%20y%5E2-%28%5Csum%20y%29%5E2%5D%7D%7D)
Given the data: (-3, -40) , (1, 12), (5, 72) and (7,137)
Here, n = 4
To calculate the correlation coefficient r;
Substitute the values of data in above formla of r , as shown in the Figure 1:
then;
or
![r=\frac{5804-1810}{\sqrt{[336-100][102788 -32761]}}=\frac{3994}{\sqrt{[236][70027]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B5804-1810%7D%7B%5Csqrt%7B%5B336-100%5D%5B102788%20-32761%5D%7D%7D%3D%5Cfrac%7B3994%7D%7B%5Csqrt%7B%5B236%5D%5B70027%5D%7D%7D)
or

Therefore, the correlation coefficient r is, 0.98247 (Positive relationship)
The best eatimated answer would be 150 miles.
24% of 603 = 144.72
so you can round it to 150