A set of test scores are normally distributed. The mean is 100 and the standard deviation is 20. These scores are converted to s
1 answer:
Answer:
The z-scores of both the mean and the median are zero.
Step-by-step explanation:
In a normal distribution, the mean and median values will be the same, in this case, 100. Therefore, both the mean and median will have the same score.
The z-score is given by:
For X = 100:
The z-scores of both the mean and the median are zero.
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Answer:
The building is 32 feet tall.
Step-by-step explanation:
Consider the figure drawn below representing the given scenario.
AB represents the height of building, BC is the distance between the stake and building, C represents the stake at ground level, and DE represents the height of the tree growing halfway between building and stake.
Since the tree is growing halfway between B and C, therefore, the point E divides the line segment BC into 2 equal parts.
Therefore, or E is the midpoint of BC.
Also, from the figure, it is clear that both tree and building are vertical to the ground. So, DE || AB.
Now, from converse of mid-segment theorem, if a line passes through the midpoint of one side of a triangle and also parallel to the third side, then the line also passes through the midpoint of the second side and half the length of the third side (parallel side)
So,
Therefore, the building is 32 feet tall.
Answer:
Step-by-step explanation:
<u>Recursive sequence </u>
In a recursive sequence formula, each term is computed as a function of one or more previous terms. In the formula
n is the number of the term we want to calculate. If n=8, then the formula becomes
We can see is the previous term. It means we need
to be able to compute
. But we also need
to compute
and so on until some known data is reached. The question provides five terms,