The 2 angles add up to 90 degrees so
x + y = 90, also:-
x - y = 72 (given)
adding the 2 equations:-
2x = 162
x = 81
and therefore
y + 81 = 90
y = 9
Answer the 2 angles are 81 and 9 degrees
Answer:
a) A. The population must be normally distributed
b) P(X < 68.2) = 0.7967
c) P(X ≥ 65.6) = 0.3745
Step-by-step explanation:
a) The population is normally distributed having a mean (
) = 64 and a standard deviation (
) = 
b) P(X < 68.2)
First me need to calculate the z score (z). This is given by the equation:
but μ=64 and σ=19 and n=14,
and 
Therefore: 
From z table, P(X < 68.2) = P(z < 0.83) = 0.7967
P(X < 68.2) = 0.7967
c) P(X ≥ 65.6)
First me need to calculate the z score (z). This is given by the equation:
Therefore: 
From z table, P(X ≥ 65.6) = P(z ≥ 0.32) = 1 - P(z < 0.32) = 1 - 0.6255 = 0.3745
P(X ≥ 65.6) = 0.3745
P(X < 68.2) = 0.7967
I'm assuming you mean to list the terms of the expression. Those are mn, -2n, and +8. There are 3 terms there.
Answer:
x=2
Step-by-step explanation:
4x=8
4x/4= 8/4 Divide both side by four to find x
8/4= 2 which equals x
3y = 2x - 6
y = 2/3x - 2
y = 2/3x + c , ( - 2, 5 )
5 = 2/3 ( -2 ) + c
3c = - 6
c = - 2
y = 2/3x - 2
i am a mathematics teacher. if anything to ask please pm me