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IgorLugansk [536]
2 years ago
13

In a class of 25 students

Mathematics
1 answer:
Rudik [331]2 years ago
4 0
If the mean height of 15 girls is 1.65m, the sum of the girls’ heights is 15×1.65=24.75m.

If the mean height of 10 boys is x metres, the sum of the boys’ heights is 10x m.

The sum of all 25 srudents’ heights is 25×1.682=42.05m.

Therefore, 24.75+10x=42.05, x=(42.05-24.75)/10=1.73m, the mean height of the boys.
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Suppose the line of best fit for some data points has a slope of 1.885. If the mean of the x-coordinates of the data points is 3
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Step-by-step Answer:

One of the properties of a least-squares regression line (line of best fit) is that the line always passes through the point (xbar, ybar).

Assuming the given "line of best fit" is a least-squares line, then we are given

a slope m=1.885 passing through (x0,y0)=(3.448,12.318).

Applying the standard point-slope formula:

(y-y0) = m (x-x0)

we get

y-12.318 = 1.885(x-3.448)

Expand and simplify,

y=1.885x -1.885*3.448 + 12.318, or

y=1.885(x) + 5.81852

(numbers to be rounded as precision dictates).

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In the figure to the right, what is the measure of angle DAC ?
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Step-by-step explanation:

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