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mina [271]
3 years ago
13

Consider the following: A medical researcher wants to determine the effects of pH (a measure of alkalinity or acidity, with pure

water having a pH of 7) on the growth of a bacteria culture. The data provided to you below represents the measurements of different cultures (in the thousands of bacteria) after 8 hours.

Mathematics
1 answer:
natita [175]3 years ago
4 0

Answer:

See below

Step-by-step explanation:

<h3>Continuation of the question</h3>

<u>Data in the table:</u>

<u>PH             4       5     6     7     8    9     10     11 </u>

<u>Bacteria    116   120  131  136  141  151  148   163</u>

  • <em>Create a scatter plot to represent the data: Based on the data and your scatter plot, what do you think a good linear function would be to represent the data?</em>
<h3>Solution</h3>

<em>See attached for scatter plot</em>

We can see the chart is close to linear function. Let's build one based on data in the table

<u>The line will be in the form of:</u>

  • y = mx + b

<u>If we use two points and get the equation</u>

  • (4, 116) and (8, 141)

<u>Finding the slope:</u>

  • m = (141-116)/(8-4) = 25/4 = 6.25

<u>Then, finding y-intercept:</u>

  • 116 = 6.25*4 + b
  • b = 116 - 25 = 91

<u>So the line is:</u>

  • y = 6.25x + 91

<em>Note: This is approximate best fit graph and it is attached as well. Exact formula for the line is built by using different method and is very close to the one above</em>

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There are 10 numbers in the set {0, 1, 2, ..., 9}. There are 26 letters in the set {A, B, C, ..., Z}. Multiply those values: 10*26 = 260. So there are 260 ways to pick a number followed by a letter. One example is 7P.

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If you need this fraction in decimal form, then use a calculator to find that 259/260 = 0.99615 approximately

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Step-by-step explanation:

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