Angela shared a cab with her friends. When they arrived at their destination, they evenly divided the
2 answers:
Answer:
Step-by-step explanation:
<u>Complete Question:</u>
Angela shared a cab with her friends . When they arrived at their destination, they evenly divided the $48 fare among "j" of them . Angela gave the cab $5 tip. How much did Angela pay in total?
<u>Solution:</u>
The fare was $48 and including Angela, there were j people, so each paid:
48/j
Also, Angela paid $5 additionally.
So, Angela paid:
48/j --- when dividing evenly
5 --- as a tip
Total Angela Paid:
Total Payment:
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Answer:
She should offer a guarantee of 13.76 years.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions 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.
The average life of a certain type of small motor is 10 years with a standard deviation of 2 years.
This means that
If she is willing to replace 3% of the motors that fail, how long a guarantee (in years) should she offer?
She should offer the 100 - 3 = 97th percentile as a guarantee, so X when Z has a pvalue of 0.97, that is, X when Z = 1.88.
She should offer a guarantee of 13.76 years.