Answer:
x ≈ 48.2°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x = 
= 
, then
x = 
( ) ≈ 48.2° ( to the nearest tenth )
Answer: range= 26, variance= 80 and standard deviation= 8.94
Step-by-step explanation:
Range = highest - lowest
Range = 146 - 120
Range= 26
Let m be mean
M=mean=sum/n
Mean=(120+134+146+127+138+133) / 6
M=798/6
M=133
The standard deviation sample formula:
S.D = sqrt( Summation of |x-m|^2 / n-1)
Let start finding:
|x-m|^2
For 1st: |120-133|^2=169
For 2nd: |134-133|^2=1
For 3rd: |146-133|^2=169
For 4th: |127-133|^2=36
For 5th: |138-133|^2=25
For 6th: |133-133|^2=0
Summation of |x-m|^2 = 400
The standard deviation formula is :
S.D = sqrt( Summation of |x-m|^2 / n-1)
S.D= sqrt(400 / 5)
S.D=sqrt(80)
S.D= 8.94
Variance = (Summation of |x-m|^2 / n-1)
Variance= 400/5
Variance= 80
Answer:
Area is 235
Step-by-step explanation:
Split the shape evenly so 11 x 14 and 9 x 9then multly and add
when slpitting up the number some times you have to add or subtract so to get 9 x 9 we just take 20 then take away 11 due to the line going through 20 and 20 - 11 = 9
9 x 9 = 81
11 x 14 = 154
81 + 154 = 235
or
Simular to the first one but the cutting line is different. this time the line cuts through 14
9 x 20 = 180
11 x 5 = 55
180 + 55 = 235
It would be: 63 / 28 = 9 / 4
So, your answer is 9/4
Hope it helped.
