Answer:
A. Law of detachment
Step-by-step explanation:
The Law of detachment implies that when one condition is fulfilled the other cannot be and vice versa, then it is made the conclusion.
This condition is made the conclusion.
The Acute and Obtuse are detached of each other.
The acute angle is one in which the value of the angle is less than 90 degrees and obtuse angle is one in which the angle is greater than 90 degrees but less than 180 degrees.
Thus angles less than 90 degrees are acute and greater than 90 degrees are obtuse.
The conclusion of the given statement is valid based on the law of detachment as the condition has been made a conclusion.
Answer:
(-2,1),(-1,2),(-3,5/3)
Step-by-step explanation:
Answer:
When sampling from a population, the sample mean will: be closer to the population mean as the sample size increases.
Step-by-step explanation:
The sample mean is not always equal to the population mean but if we increase the number of samples then the mean of the sample would become more and more closer to the population mean.
Usually the population size is very huge that is why we select a random sample from the population, care must be taken to ensure randomized sampling otherwise results would not be accurate. After that we have to make sure that the number of samples are enough for the given population size. The number of samples depends upon the shape of the population. If the population is normal than according to central limit theorem, a less number of samples would be enough to ensure normal distribution of sampling mean, otherwise a greater sample size will be required.
The experimental probability of rolling a 6 is 9/60 which can be determined by dividing the frequency of the observation 6 with the total frequency of the experiment.
<u>Step-by-step explanation:</u>
Experimental probability is different from theoretical probability because the former is obtained by experimentation while the latter is what we expect theoretically.When we take a number of observations, the experimental probability and theoretical probability need not be the same.
In this question we have to determine the experimental probability of 6. It can be determined by dividing the frequency of the observation 6 by the total frequency of the experiment.
frequency of 6=9
total frequency=frequency of 1+frequency of 2+frequency of 3+frequency of 4+frequency of 5+frequency of 6
=13+11+9+8+10+9
=60
P(6)=frequency of 6/total frequency
=9/60
Answer:
B.
Step-by-step explanation:
Here the best method to solve is by substituting the end values of the set in each option , otherwise it will a time consuming problem.
Now substitute x=-4 in all the options
A.
16+8-8=16>0
so out of option A and C option C is correct.
B.
16-8-8=0 which means for the values of x>-4 is less than 0
Now substitute x=2 in all the options
A.
4-4-8=-8<0 . so option A and C both are incorrect.
B.
4+4-8=0 which means for the values of x<2 is less than 0
Therefore the correct option is B
