3. A
4.B
5.B
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in table data from a survey about the amount of time students spend doing homework each week. The students were either in college or in high school:High Low Q1 Q3 IQR Median Mean σ
College 50 5 7.5 15 7.5 11 13.8 6.4
<span>High School16 0 9.5 14.5 5 13 10.7 5.3 </span>Both spreads are best described with the standard deviation.
<h2><u>Circle Equations</u></h2>
<h3>Write the standard form of the equation of the circle with the given characteristics.</h3><h3>Center: (0, 0); Radius: 2</h3>
To determine the equation of a circle, use the standard form of a circle (x - h)² + (y - k)² = r² where,
- <u>(h, k)</u> is the center; and
- <u>r</u> is the radius
Substitute the values of the center and radius to the standard form.
<u>Given:</u>
<u>(0, 0)</u> - <u>center</u>
<u>2</u> - <u>radius</u>
- (x - h)² + (y - k)² = 2²
- (x - 0)² + (y - 0)² = 4
- x² + y² = 4
<u>Answer:</u>
- The equation of the circle is <u>x² + y² = 4</u>.
Wxndy~~
is the equation best represents the line.
Solution:
Take any two points on the line.
Let the points be (0, –4) and (4, 7).

General form of equation of a line is y = mx + c
where m is the slope and c is the y-intercept of the line.
<em>y-intercept is the point which line crosses at y-axis.</em>
In the given line, y-intercept is 4.
c = 4
Slope of the line:



Equation of the line:
y = mx + c

Hence
is the equation best represents the line.
The answer is 0.6 because you divide 21 by 35 and get 0.6