Answer:
When we have a mean M and a standard deviation S, the values that are within the mean absolute deviation are all the values in the interval:
[M -S, M + S]
In this case, we have:
M = 782
S = 52
Then the interval is:
[782 - 52, 782 + 52]
[730, 834]
Then any number between 730 and 834 are possible answers to this question, for example, we can choose:
789 and 801
I think 20 hope that helps
Answer:
D. Pythagorean
Step-by-step explanation:
Given the identity
cos²x - sin²x = 2 cos²x - 1.
To show that the identity is true, we need to show that the left hand side is equal to right hand side or vice versa.
Starting from the left hand side
cos²x - sin²x ... 1
According to Pythagoras theorem, we know that x²+y² = r² in a right angled triangle. Coverting this to polar form, we have:
x = rcostheta
y = rsintheta
Substituting into the Pythagoras firnuka we have
(rcostheta)²+(rsintheta)² = r²
r²cos²theta+r²sin²theta = r²
r²(cos²theta+sin²theta) = r²
(cos²theta+sin²theta) = 1
sin²theta = 1 - cos²theta
sin²x = 1-cos²x ... 2
Substituting equation 2 into 1 we have;
= cos²x-(1-cos²x)
= cos²x-1+cos²x
= 2cos²x-1 (RHS)
This shows that cos²x -sin²x = 2cos²x-1 with the aid of PYTHAGORAS THEOREM
The answer is 9. there are 9 different combinations to choose from.
Answer:84.8
Step-by-step explanation: