Answer:
Point B would be at 5.
Step-by-step explanation:
Given segment AC in which point A is at -3 and point C at 7, representing this on the number line shows that there are 10 points from A to C.
-3 -2 -1 0 1 2 3 4 5 6 7
A C
Since the segment AC is to be divided into a ratio 4:1, then moving from point A to B (at point 5) would be the required point. Therefore, point B that would divide segment AC in ratio 4:1 is at 5.
Thus, A is at -3, B is at 5, and C is at 7.
Answer:
So the correct system of hypothesis for this case would be:
Null hypothesis:
Alternative hypothesis:
On the other way would be:
Null hypothesis:
Alternative hypothesis:
Step-by-step explanation:
1) Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
2) Solution to the problem
On this case we want to test is but we can rewrite this expression like this:
And if we reorder this las expression we got this:
So the correct system of hypothesis for this case would be:
Null hypothesis:
Alternative hypothesis:
On the other way would be:
Null hypothesis:
Alternative hypothesis:
Answer:
equal chance
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
evaluate the function means substitute x=-1 and calculate
f(x) = 3x²-4x
f(-1) =f(x=-1) = 3(-1)²-4(-1) =3+4 =7, because (-1)²=1 and -4(-1) =4
Answer:
A = (1/2)(B + C + D) ⇒ 2A = B + C + D
B = (1/3)(A + C + D) ⇒ 3B = A + C + D
C = (1/4)(A + B + D) ⇒ 4C = A + B + D
D = 78
Substitute 78 for D. Solve the three equations in three variables