Maya babysits for $8 per hour. She also works at her family’s restaurant for $10 per hour. She is only allowed to work for a tot
al of up to 16 hours each week. She wants to make at least $130 each week. This can be modeled by the graph.
Which of the following are possible combinations of work hours? Select all that apply.
0 hours babysitting; 13 hours at the restaurant
1 hour babysitting; 14 hours at the restaurant
20 hours babysitting; 10 hours at the restaurant
5 hours babysitting; 6 hours at the restaurant
14 hours babysitting; 1 hour at the restaurant
Which of the following are possible combinations of work hours? Select all that apply.
0 hours babysitting; 13 hours at the restaurant
1 hour babysitting; 14 hours at the restaurant
20 hours babysitting; 10 hours at the restaurant
5 hours babysitting; 6 hours at the restaurant
14 hours babysitting; 1 hour at the restaurant
2 answers:
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Answer:
Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.
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 problem, we have that:
Top 5%:
X when Z has a pvalue of 0.95. So X when Z = 1.645
Bottom 5%:
X when Z has a pvalue of 0.05. So X when Z = -1.645
Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.