Answer:
76
Step-by-step explanation:
A + B = 127
5.80A + 4.25B = 657.55
Solve with substitution.
5.80A + 4.25(127 − A) = 657.55
5.80A + 539.75 − 4.25A = 657.55
1.55A = 117.80
A = 76
Answer:
This decision is not statistically significant .
Step-by-step explanation:
Hypothesis testing is set up so that you can prove a null hypothesis. Therefore, when you do not find evidence against the null hypothesis, you fail to reject the null hypothesis or the result is not statistically significant.
Answer:
x/5
Step-by-step explanation:
To get the inverse function you need to leave the x alone and then switch variables ( f(x) = y)
f(x) = 5x
y = 5x
y/5 = x
Now that x is alone you switch the x for y and the y for x and you get:
x/5 = y
And this new y is the inverse function of f(x) ( f^-1(x))
f^-1(x) = x/5
1/6+3/8=13/24 (13/24 is the simplest form in this case)
A line segment from a vertex to the midpoint of the opposite side is a "median". A median divides the area of the triangle in half, as it divides the base in half without changing the altitude.
AAMC is half AABC. AADC is half AAMC, so is 1/4 of AABC. (By the formula for area of a triangle.)
ABMC is half AABC. ABMD is half ABMC, so is 1/4 of AABC. (By the formula for area of a triangle.)
Then, AADC = 1/4 AABC = ABMC, so AADC = ABMC by the transitive property of equality.
