When planning for a party, one caterer recommends the amount of meat be at least 2 pounds less than One-third the total number o
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Answer:
<h2>It takes 36 minutes to fill the bathtub using just hot water.</h2>Step-by-step explanation:
We are gonna name V the complete volume of the bathtub, which is filled a certain amount of minutes. Each filling rate or speed is gonna be expressed as: .
So, if we apply this consideration to each case we have:
Using cold and hot water:
Using only cold water:
Using only hot water: ; because we don't knot the time it takes to fill the bathtub with hot water.
Now, as you can see, Cold and Hot water is a sum of cold water only and hot water only:
Solving the equation for <em>x: </em>
Therefore, it takes 36 minutes to fill the bathtub using just hot water.
Answer:
January had a higher z-score for sales on the 15th, and the value of that z-score was of 0.5.
Step-by-step explanation:
z-score:
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.
January:
The mean daily sales for January was $300 with a standard deviation of $20. On the 15th of January, the shop sold $310 of yogurt. This means, respectively, that . So
February:
The mean daily sales for February was $320 with a standard deviation of $50. On the 15th of February, the shop sold $340 of yogurt. This means, respectively, that . So
January had a higher z-score for sales on the 15th, and the value of that z-score was of 0.5.