Stacey and Michele both babysit in the evening.staceys hours rate is $10 for one child plus $2per additional child Michael hourl
2 answers:
Answer: The number of children in the Thomson family is 3.
Step-by-step explanation: Given that Stacey and Michele both babysit in the evening. Stacey's hours rate is $10 for one child plus $2 per additional child and Michael hourly rate $8 for one child plus $3 per additional child.
We are to find the number of children in the Thomson family if they pay the same hourly rate for Stacy and Michael.
Let the number of children in the Thomson family be denoted by n.
Then, according to the given information, we have
Therefore, there are three children in the Thomson family.
Thus, the number of children in the Thomson family is 3.
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Using Vieta's Theorem, it is found that c = 72.
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- The roots are p and q.
The Theorem states that:
In this problem, the polynomial is:
Hence the coefficients are .
Since the difference of the solutions is 1, we have that:
Then, from the first equation of the Theorem:
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Answer:
The warranty period should be of 32 months.
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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean time before failure of 40 months with a standard deviation of 6 months.
This means that
What should be the warranty period, in months, so that the manufacturer will not have more than 10% of the blenders returned?
The warranty period should be the 10th percentile, which is X when Z has a p-value of 0.1, so X when Z = -1.28.
The warranty period should be of 32 months.
