Answer:
(7,-3)
Step-by-step explanation:
y = -3
substitute in the first equation
3x - y^2 = 12
3x - (-3)^2 = 12
3x - 9 = 12
3x = 12 + 9
3x = 21
x = 7
coordinates of intersection (7,-3)
Answer:
1. 1340
2. Variance = 47200, standard deviation = 217.25556
Step-by-step explanation:
1-
If X is the random variable that give the number of admissions, then the expected number of admissions<em> E[X]</em> for the fall semester is
1080*P(X=1080)+1380*P(X=1380)+1540*P(X=1540) =
1080*0.4+1380*0.1+1540*0.5 = 1340
2-
The <em>variance</em> is defined as
We have
whereas
So the variance equals
The <em>standard deviation is just the square root of the variance</em>, so, the standard deviation is

1,200 divided by 4= 3,000
3,000 is your answer.
The eagle would have more momentum because it has a larger mass.
Answer:
x=1
Step-by-step explanation:
9(4–5x)+2=7(6x–7)
Distribute
36 -45x +2 = 42x-49
Combine like terms
-45x +38 = 42x-49
Add 45x to each side
-45x +38 +45x = 42x+45x-49
38 = 87x-49
Add 49 to each side
38+49 = 87x-49+49
87 = 87x
Divide by 87
87/87 = 87x/87
1 =x