Can some one pls help me with these questions it is really argent
1 answer:
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Answer:
The z-score for a data value of 121 is -2.29.
Step-by-step explanation:
In a set with mean and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Find the z-score for a data value of 121.
This is Z when X = 121. So
The z-score for a data value of 121 is -2.29.
Answer: OPTION C.
Step-by-step explanation:
Observe the triangle ABC attached.
Notice that the angle of depression is represented with .
Knowing that the top of a lighthouse is 260 feet above water and the ship is 270 feet offshore, you can find the value of by using arctangent:
In this case you can identify that:
Therefore, substuting values into , you get that the angle of depression is:
