<span>X+y=11
Xy=30
</span><span>
x=11-y
(</span>11-y)y=30
11y-y²=30
11y-y²-30=0
y²-11y+30=0
y²-5y-6y+30=0
y(y-5)-6(y-5)=0
(y-5)(y-6)=0
y-5=0
y=5
y-6=0
y=6
x=11-y
x=11-5=6
x=11-6=5
x=6 y=5
x=5 y=6
Answer:
x = 15
Step-by-step explanation:
x + 2x - 2 + 2x - 2 = 71
Solve for x, you get 15.
Witch one do you need help with?
Answer:
(5,-2)
Step-by-step explanation:
The two equations are y=-x+3 and y=x-7
Their point of intersection, (5,-2), is the ordered pair solution to the system of equations.
Answer:
0.2 ; 100 ; 4.84
Step-by-step explanation:
Given that the probability of each of the 5 groups is the same :
Sum of probability = 1
Hence, Probability of each group = 1 / number of groups = 1 / 5 = 0.2
Expected number for each interval for a sample of 500 : ; X = 500
E(X) = X * P(x) = 500 * 0.2 = 100
Goodness of fit (X²) :
X² = Σ(X - E)² ÷ E
Groups :
113, 95, 108, 99, and 85
X : 113 ____ 95 ____ 108 ____ 99 _____ 85
(113 - 100)^2 / 100 = 1.69
(95 - 100)^2 / 100 = 0.25
(108 - 100)^2 / 100 = 0.64
(99 - 100)^2 / 100 = 0.01
(85 - 100)^2 / 100 = 2.25
(1.69 + 0.25 + 0.64 + 0.01 + 2.25) = 4.84