Answer:
a=1/3
Step-by-step explanation:
from the point on the graph
x=4 and y=8
substitute them into the equation:
y=a(x-2) (2x+4)
you will get
8=a(4-2) (2(4)+4)
8=a(2) (8+4)
8=a(2) (12)
8=2a×12
8=24a
divide both sides by 24
8/24=24a/24
1/3=a or a=1/3
Here is the math, did it on paper, sorry it’s blue. just add parenthesis around the x in the second equation and add what x equals. then solve as PEMDAS.
85 > x-63
This is how you would arrange the problem,
isolate the X by adding 63 to 85 to get 148,
Flip the inequality to <
resulting in X<148.
Answer: $85,000
Step-by-step explanation:
Given : In a given population of two-earner male-female couples, male earnings have a mean of $40,000 per year and a standard deviation of $12,000.
![\mu_M=40,000\ \ ;\sigma_M=12,000](https://tex.z-dn.net/?f=%5Cmu_M%3D40%2C000%5C%20%5C%20%3B%5Csigma_M%3D12%2C000)
Female earnings have a mean of $45,000 per year and a standard deviation of $18,000.
![\mu_F=45,000\ \ ;\sigma_F=18,000](https://tex.z-dn.net/?f=%5Cmu_F%3D45%2C000%5C%20%5C%20%3B%5Csigma_F%3D18%2C000)
If C denote the combined earnings for a randomly selected couple.
Then, the mean of C will be :-
![\mu_c=\mu_M+\mu_F\\\\=40,000+45,000=85,000](https://tex.z-dn.net/?f=%5Cmu_c%3D%5Cmu_M%2B%5Cmu_F%5C%5C%5C%5C%3D40%2C000%2B45%2C000%3D85%2C000)
Hence, the mean of C = $85,000