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Doss [256]
3 years ago
14

Sandra conducted an observational study to learn how relationships with family affect happiness. She surveyed 500 people in her

hometown and found that 85% say that positive relationships with family members make them happy. What could be the conclusion of her study?
Mathematics
2 answers:
Alinara [238K]3 years ago
8 0
She may conclude that in her hometown, a majority of people experience greater happiness thanks to positive relationships. However, in order to apply this to a greater population, she will have to use a larger sample of people.
Dmitrij [34]3 years ago
6 0
Since this is an observational study and not an experiment, she can only conclude that there <span>may be a link between closeness with family and happiness but we cannot say that closeness with family results in happiness.</span>
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Masja [62]

Answer:

(A) The rate of change in the price of a bushel of corn in the current year is $7.

(B) The price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

Step-by-step explanation:

The graph for the prices of different numbers of bushels of corn at a store in the current year is shown below.

Part A:

The rate of change in the price of a bushel of corn in the current year based upon the number of bushels is known as the slope of the line.

The formula to compute the slope is:

\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Consider the ordered pairs: (4, 28) and (10, 70)

Compute the slope of the line as follows:

\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

         =\frac{70-28}{10-4}\\\\=\frac{42}{6}\\\\=7

Thus, the rate of change in the price of a bushel of corn in the current year is $7.

Part B:

The data for the price of bushels in the previous year is as follows:

Number of Bushels Price

              2                   10

              4                  20

              6                  30

              8                  40

Compute the  rate of change in the price of a bushel of corn in the previous year based upon the number of bushels as follows:

Consider the ordered pairs: (2, 10) and (6, 30)

\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

         =\frac{30-10}{6-2}\\\\=\frac{20}{4}\\\\=5

The  rate of change in the price of a bushel of corn in the previous year is $5.

Thus, the price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

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