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Svetach [21]
3 years ago
14

To predict what diameter a child would draw a nickel given family income, it would be most appropriate to: ___________

Mathematics
1 answer:
e-lub [12.9K]3 years ago
5 0

Answer:

a. Use the regression equation

Step-by-step explanation:

Given

See attachment for missing part of question

Required

What can be used to predict diameter, given family income

We can see (by observation) that the data on the table can only be represented on a scattered plot, and scattered plot uses regression equation for data prediction.

i.e. y = mx + b --- equation of line of best fit

In this case;

x \to income

y \to diameter

<em>When the x value (income) is known, we can simply plug in the value in the above equation to get the y value (diameter)</em>

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Two cars start out together from the same place. they travel in opposite​ directions, with one of them traveling 5 miles per hou
Mashutka [201]
<u>Annotation</u>
General formula for distance-time-velocity relationship is as following
d = v × t
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The velocity of the second car will be v₂, the time is 2 hours, the distance will be d₂.


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d₁ + d₂ = 262 (second equation)

Plug the d-v-t relationship to the second equation
d₁ + d₂ = 262
v₁ × t + v₂ × t = 262
v₁ × 2 + v₂ × 2 = 262
2v₁ + 2v₂ = 262

Plug the v₁ as  (v₂+5) from the first equation
2v₁ + 2v₂ = 262
2(v₂ + 5) + 2v₂ = 262
2v₂ + 10 + 2v₂ = 262
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v₂ = 252/4
v₂ = 63
The second car is 63 mph fast.

Find the velocity of the first car, use the first equation
v₁ = v₂ + 5
v₁ = 63 + 5
v₁ = 68
The first car is 68 mph fast.

Answer
\boxed{\boxed{ v_{1}=68mph} }
\boxed{\boxed{ v_{2}=63mph} }
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4 years ago
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Step-by-step explanation:

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