Explain which property of equality used to arrive at the conclusion for the following if x=2 then x+20=22
2 answers:
For this case we have that by definition, the subtraction property of equality establishes that having an equality, any number that is subtracted from one side of it, must be subtracted from the other side.
We have:
So, for it to be fulfilled:
We must subtract "20" on both sides of the equation:
Answer:
subtraction property of equality
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Calculate the value of z and its probability, since with this we can know how likely it is that this will happen.
We have that the mean (m) is equal to 8.3, the standard deviation (sd) 1.2 and the sample size (n) = 15
They ask us for P (x =7.2)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / (sd / (n ^ 1/2))
We have all these values, replacing we have:
z = (7.2 - 8.3) / (1.2 / (15 ^ (1/2))
z = -3.55
With the normal distribution table (attached), we have that at that value the approximate probability is:
P (z = -3.55) = 0.0001
The probability is 0.01 %
This affirms that the students do not sleep what the study says because the probability of this happening according to the survey is almost nil.
