The mayor of Gilbert, AZ, randomly selects 300 of its residents for a survey while the mayor of Camp Verde, AZ, randomly selects
2 answers:
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Answer:
The score that separates the lower 5% of the class from the rest of the class is 55.6.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
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 question:
Find the score that separates the lower 5% of the class from the rest of the class.
This score is the 5th percentile, which is X when Z has a pvalue of 0.05. So it is X when Z = -1.645.
The score that separates the lower 5% of the class from the rest of the class is 55.6.
A,B,C,D i.e. all statements are true!
<u>Step-by-step explanation:</u>
According to question, Lynn works as a part-time vendor selling necklaces for $15 each and bangles for $10 each. She needs to earn a minimum of $300 per week to cover her expenses. The inequality for above scenario will be :
where, x is number of necklaces & y is number of bangles.
A.
Lynn will meet her goal if she sells 12 bangles and 12 necklaces. i.e. x=12 and y=12 , putting values inequality : which follows inequality . True statement!
B.
Lynn will meet her goal if she sells 20 bangles and 6 necklaces.
putting values inequality : which follows inequality . True statement!
C.
Lynn will meet her goal if she sells 6 bangles and 12 necklaces. putting values inequality : , which follows inequality . True statement!
D.
Lynn will meet her goal if she sells 2 bangles and 18 necklaces.putting values inequality : , which follows inequality . True statement!