Step-by-step explanation:
Equation of line is y-y1 = m(x-x1), where m is the slope and (x1,y1) is the given point.
y-2 = 1/4*(x-(-4))
y-2 = 1/4 * (x+4)
4*(y-2) = x+4
Equation of the line is,
x-4y = -12
Answer:
1/4w -1
Step-by-step explanation:
(1/2w +3) -(1/4w +4) = w(1/2 -1/4) +(3 -4)
= 1/4w -1
_____
The distributive property applies. It is useful for distributing the minus sign and for collecting terms.
Answer:
5.48% of the people in line waited for more than 28 minutes
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean waiting time of 20 minutes with a standard deviation of 5 minutes.
This means that 
What percentage of the people in line waited for more than 28 minutes?
The proportion is 1 subtracted by the p-value of Z when X = 28. So



has a p-value of 0.9452.
1 - 0.9452 = 0.0548.
As a percentage:
0.0548*100% = 5.48%
5.48% of the people in line waited for more than 28 minutes
Answer:
5
Step-by-step explanation:
120/2=60/5=12
Answer:
G. Modus tollens
Step-by-step explanation:
This question used the inference called modus tollens.
Modus tollens is a a valid form of argument that is of this form below:
<em>If S, then T</em>
<em>i</em><em>f not S, then not T.</em>
S = dog doesn't know perpetrator
Not S = dog knows who the perpetrator is
T = the dog barked
Not T = the dog did not bark.
So if we put this into the statement in bold letters, we would have:
The dog doesn't know perpetrator, so it barked.
And,
The dog didn't bark, so it knows the perpetrator.