The sum of negative 45 times a number and twelve is 117. What is the number?
1 answer:
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The probability is 0.69.
We find the z-scores that correspond with each end of the range we're looking for. To find a z-score, we use the formula:
Using a z-table (http://www.z-table.com) we see that the area under the curve left of the score 350 would be 0.228. The area under the curve left of the score 400 would be 0.918. To find just the range between 350 and 400, we subtract the area left of 350 from the area left of 400; this will give us just from 350 to 400:
0.918-0.228 = 0.69.
We find the z-scores that correspond with each end of the range we're looking for. To find a z-score, we use the formula:
Using a z-table (http://www.z-table.com) we see that the area under the curve left of the score 350 would be 0.228. The area under the curve left of the score 400 would be 0.918. To find just the range between 350 and 400, we subtract the area left of 350 from the area left of 400; this will give us just from 350 to 400:
0.918-0.228 = 0.69.
Answer:
Tera had the higher z-score, so she should be offered the job.
Step-by-step explanation:
Z- score:
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:
Whoever has the higher z-score should get the job.
Brittany:
Scored 88.3, mean 63.1, standard deviation 14. So
Alissa:
Scored 236.5, mean 219, standard deviation 25. So
Tera:
Scored 7.75, mean 6.66, standard deviation 0.5. So
Tera had the higher z-score, so she should be offered the job.