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sashaice [31]
2 years ago
9

A psychologist collects data on the time, w, in minutes, people walk each day and their scores, t ,on a stress test. The scores

are from 0 to 100, with higher scores meaning more stress. She finds that there is a negative linear association between w and t that is best modeled by the equation t=−2.5w+48.1 .
What is the meaning of 48.1 in this equation?

A. The people who walked each day had an average score of 48.1 on the stress test.

B. The model predicts that a person who does not walk each day will score about 48.1 on the test.

C. The people in the study walked an average of 48.1 minutes each day.

D. For each additional minute spent walking, the model predicts that a person's score on the stress test will go down by about 48.1 points.
Mathematics
2 answers:
photoshop1234 [79]2 years ago
8 0
<span>C. The people in the study walked an average of 48.1 minutes each day.
</span>
poizon [28]2 years ago
8 0
I believe the answer is A because that is the only answer that completes the question correctly.
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mixer [17]

Answer:

the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.

Step-by-step explanation:

Note that the formula for the area of a triangle is A = (1/2)(base)(height).  Let's abbreviate that to A = (1/2)(b)(h).   We are told that h = b + 8.

Then A = 136.5 = (1/2)(b)(b + 8), or

               (after multiplying both sides by 2)

          A = 273 = b^2 + 8b

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b^2 + 8b - 273 = 0

The coefficients of this quadratic are a = 1, b = 8 and c = -273.

Thus, the discriminant is b^2 - 4ac, or 64 - 4(1)(-273) = 1156 = 17^2.

The roots are then

      -8 ± √1156            -8 ± 17

x = --------------------  =  ------------ = 9/2 and -25/2

              2                          2

Only the root 9/2 makes sense here, because measurements of length are positive.

Thus, the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.

3 0
3 years ago
Arrange the following in decreasing order. 3.8 m^2 380 cm? 0.038 km2 3,800 mm Which of the following shows the answers in decrea
Snezhnost [94]

Answer:

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Step-by-step explanation:

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\text{Area} = \text{0.038 km}^{2} \times \left (\dfrac{\text{1000 m}}{\text{1 km}} \right )^{2} = \textbf{38 000 m}^{2}

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\text{Area} = \text{3800 mm}^{2} \times \left (\dfrac{\text{1 m}}{\text{1000 mm}} \right )^{2} = \textbf{0.0038 m}^{2}

In decreasing order, 0.038 km² > 3.8 m² > 380 cm² > 3800 mm²

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Hope this Helps

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How do you factor the sum of 2 squares?
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