Answer:
The number of watches must he repair to have the lowest cost is 54.
Step-by-step explanation:
The cost of operating Bob's shop is given by
Differentiate the given function with respect to x.
... (1)
Equate C'(x) equal to 0, to find the critical point.
Divide both sides by 4.
Differentiate C'(x) with respect to x.
C''(x)>0, it means the cost of operating is minimum at x=54.
Therefore the number of watches must he repair to have the lowest cost is 54.
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Answer: Histogram
You can eliminate the stem and leaf plot, since it tells you the amount of values.
You can eliminate the dot plot, since it also shows you the number of values.
You can eliminate the frequency table, since it calculates the frequency of a number.
Thus, the answer is the histogram.
Answer:
The proportion of infants with birth weights between 125 oz and 140 oz is 0.1359 = 13.59%.
Step-by-step explanation:
When the distribution is normal, we use 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, we have that:
The proportion of infants with birth weights between 125 oz and 140 oz is
This is the pvalue of Z when X = 140 subtracted by the pvalue of Z when X = 125. So
X = 140
has a pvalue of 0.9772
X = 125
has a pvalue of 0.8413
0.9772 - 0.8413 = 0.1359
The proportion of infants with birth weights between 125 oz and 140 oz is 0.1359 = 13.59%.
This is a quotient (division) of two functions we must be concerned with the fact that division by zero is undefined.
Since g(x) is in the divisor position, it cannot equal 0.
Subtract 6 from both sides to solve.
So the domain is all real numbers except -6
Set notation {x | x ∈ R, x ≠ -6}
Interval notation (-∞,-6)∪(-6,∞)
