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zavuch27
14 days ago
6

The following histogram presents the amounts of silver (in parts per million) found in a sample of rocks. One rectangle from the

histogram is missing. What is its height?

Mathematics
1 answer:
Svet_ta [12.7K]14 days ago
4 0
The height of the missing rectangle measures 0.15. The image includes the mentioned histogram that outlines the relative frequencies for the categories [0,1], [1,2], [2,3], [4,5], and [5,6] for Silver in ppm. The rectangle for the class [3,4] is the only one that is missing. Each rectangle's height represents the relative frequency for its respective class. The total of the relative frequencies must sum to 1; this is determined by dividing the absolute class frequency by the total sample size. Therefore, by summing the known relative frequencies and subtracting from 1, we can find the missing relative frequency, which corresponds to the height of the absent rectangle. To find the known relative frequencies, we add: 0.2 + 0.3 + 0.15 + 0.1 + 0.1 = 0.85. The missing frequency turns out to be 1 - 0.85 = 0.15. Hence, the height of the missing rectangle is determined to be 0.15.
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Answer:

When x = 72, the z score is:

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This z-score indicates that x= 72 is 1.273 standard deviations above the mean.

Step-by-step explanation:

Let’s consider the following details for this question: John's typing speed on a test is assumed to follow a normal distribution. Let X denote the number of words he can type in a minute. Hence, X ~ N(58, 11). It’s important to round the result to three decimal points if needed.

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This z-score indicates that x= 72 is 1.273 standard deviations higher than the mean.

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