Answers:
- A) Definition of right angles
- B) Substitution
- C) Definition of congruence
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Explanation:
- A) The term "right angle" is another way of saying "90 degree angle". This is a definition. Think of a definition in a dictionary.
- B) The substitution property allows us to replace one thing for another, as long as the two things are equal. The transitive property works as a similar idea.
- C) If two angles have the same measure, then they are congruent. This is the definition of congruence (or one form of it).
Answer:
The approximated value of the standard deviation is 0.35.
Step-by-step explanation:
According to the Central Limit Theorem if we have an unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.
Then, the mean of the distribution of sample means is given by,
And the standard deviation of the distribution of sample means is given by,
The information provided is:
<em>n</em> = 100
<em>σ</em> = 3.5
<em>μ</em> = 66
As the sample size is quite large, i.e. <em>n</em> = 100 > 30, the central limit theorem can be applied to approximate the sampling distribution of sample mean by the Normal distribution.
Then the approximated value of the standard deviation of sampling distribution of sample mean is:
Thus, the approximated value of the standard deviation is 0.35.
Hence her average pay per hour in 2017 is 13.73 pounds
Answer: y= -8x+3
Step-by-step explanation:
If it's perpendicular the slope is the negative reciprocal, so from 1/8 it would be -8/1, which is just -8. To find b plug in (1,-5) into y=mx+b which is slope intercept form, to get b=3.
Answer:
the range is most affected by an outlier. it makes it seem like there is a bigger variety of numbers being shown.there will be one all by itself on a dot plot