Answer:
194
Step-by-step explanation:
Answer:
d. H0: vs.
Step-by-step explanation:
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".
On this case the Management try to determine if there is a difference in the average investment/quad between using electricity and using gas. So this needs to be on the alternative hypothesis. And the complement of the alternative hypothesis would be on the null hypothesis.
Null hypothesis :
Alternative hypothesis:
Or equivalently:
Null hypothesis :
Alternative hypothesis:
Other important thing is that on the alternative hypothesis we never can have the symbol equal.
So on this case the best options is:
d. H0: vs.
It would be: 213500 * 18/100
213500 * 0.18 = $38430
So, option D is your answer.
Hope this helps!
S = (-5,0)
T = (2,1)
Step-by-step explanation:
Step 1 :
Given
Q = (3,6) and R = (-4,5). P = (-1,3)
Let S be (a,b) and T be (c,d)
The diagonals of a parallelogram bisect each other. so in order to ensure that QRST is a parallelogram, P must be the mid point of the diagonals QS and RT.
Step 2 :
P is the midpoint of QS
So we have (3+a) ÷ 2 = -1 and (6 + b) ÷ 2 = 3
=> 3 + a = -2 and 6 + b = 6
=> a = -5 and b =0
So S should be (-5,0)
Step 3 :
P is the midpoint of RT
So we have (-4+c) ÷ 2 = -1 and (5 + d) ÷ 2 = 3
=> -4+ c = -2 and 5 + d = 6
=> c = 2 and d =1
So T should be (2,1)
Step 4 :
Answer :
S = (-5,0)
T = (2,1)
Answer:
Step-by-step explanation:
Factor the numerator and cancel common factors from numerator and denominator.