Answer:
<em>x = 3 and y = 0</em>
Step-by-step explanation:
3y+x=3
-2y+5x=15
Isolate y in 3y + x = 3 :
Substitute 
in -2y + 5x = 15 :
Simplify the equation :
Isolate x in 
:
Proving x = 3
Isolate y in 
:
Proving y = 0
Your solved system of equations are x being 3, and y being 0.
Answer:
2.42
Step-by-step explanation:
standard deviation= sqrt(variance)
Variance=E[X2] - E[X]2
E[X] = sum(X)/n=35/9, so E[X]2 = 1225/81
E[X2] =sum(X2)/n = 189/9 = 170/81
Variance= 476/81
Standard deviation = sqrt(476/81) ~2.42
Answer:
11.25
Step-by-step explanation:
Since AB and CD are parallel, ∠D is congruent to ∠A and ∠C is congruent to ∠B. Therefore the two triangles are similar by the AA postulate. Now, the corresponding sides are in proportion
Since AE ↔ DE and AB ↔ CD
So, AE/CD = AB/CD
AE/5 = 9/4
AE = 9(5)/4
= 45/4 = 11.25
