Answer:
D = 12.94 m
Step-by-step explanation:
Coordinates of first tree = A(0,8)
Coordinates of second tree = A(12,4)
We need to find the distance between the two trees. We can find it using distance formula for coordinates as follows :
We have, x₁ = 0, x₂ = 12, y₁ = 8, y₂ = 4
Now using distance formula,
So, the distance between the two trees is 12.64 m.
Answer:
Step-by-step explanation:
Given that the observed frequencies for the outcomes as follows:
To check this we can use chi square goodness of fit test.
(Two tailed test at 5% significance level)
Assuming equally likely expected observations are found out and then chi square is calculated as (0-E)^2/E
Df = 6-1 =5
Outcome Frequency Expected frequency (Obs-exp)^2/Exp
1 36 34.83333333 0.03907496
2 30 34.83333333 0.670653907
3 41 34.83333333 1.091706539
4 40 34.83333333 0.766347687
5 23 34.83333333 4.019936204
6 39 34.83333333 0.498405104
209 209 7.086124402
p value =0.214
Since p >alpha, we accept null hypothesis
It appears that the loaded die does not behave differently than a fair die at 5% level of significance
Answer:
8.04
Step-by-step explanation:
Solution 1
x= r- 4.5= 25.2/2 - 4.5= 8.1
Solution 2
x= √(25.2/2)² - 9.7²= √64.67= 8.04
refer to attachment
Answer:
Step-by-step explanation:
There are five lines of symmetry in a regular pentagon:
Each going from side midpoint to opposite vertex.
here is a drawing of all of them filled in:
