Answer:
Step-by-step explanation:
The weights of packs of chewing gum for a certain brand have a mean of 47.1 grams and a standard deviation 2.4
1 answer:
A Z-score helps us to understand how far is the data from the mean. The correct option is B.
<h3>What is Z-score?</h3>A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,
Where Z is the Z-score,
X is the data point,
μ is the mean and σ is the standard variable.
The weight of a randomly selected pack of gum has a z-score of 3.11. Therefore, The weight of this pack of gum is heavier than the mean weight by 3.11 standard deviations.
Hence, the correct option is B.
Learn more about Z-score:
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Answer:
Constant of proportionality:
Equation:
Step-by-step explanation:
By definition, Direct proportion equations have the following form:
Where "k" is the Constant of proportionality.
In this case, let be "c" the the amount of caffeine consumed (in mg) from a glass of Diet Pepsi and "d" the number of ounces that was drank.
So, the equation that represents this relationship will have this form:
Then, the first step is to find the Constant of proportionality "k".
Knowing that:
We can substitute values into the equation:
Now, solving for "k", we get:
Therefore, we can write the following equation that represents that proportional relationship: