Mathematics, 19.01.2021 01:00 isiss18

If we assume the average number of teeth lost in the 5-9 group is 7 teeth and the average number of teeth lost in the 10 group is 12 teeth, what is the best estimate of the average (mean) and variance number of teeth lost per year

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Answer from: mitetwojr

Average = 7.83

Variance = 20.8339

Step-by-step explanation:

Since the average number of teeth lost in years 5-9 was 7 teeth this means that the average was 7 each year. Therefore, to estimate the average of teeth lost per year including all the years then we need to add the average each year and divide by the number of years being included like so...

7 + 7 + 7 + 7 + 7 + 12 = 47 teeth

47 teeth / 6 days = 7.83

Now that we have the mean we can find the variance.

$(7-7.83)^{2}$ = 0.6889

$(12 - 7.83)^{2}$ = 17.3889

0.6889 + 0.6889 + 0.6889 + 0.6889 + 0.6889 + 17.3889 = 20.8339

Answer from: Quest

62.5 paisa

step-by-step explanation:

4000*70 = 280000

280000-(2000*90) = 100000

4000-2400 = 1600

100000/1600 = 62.5

( give brainliest)

Answer from: Quest

$y> \frac{1}{3}x$ and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be = $\frac{1-0}{3-0} = \frac{1}{3}$ .

y-intercept of dotted line is y=0 only.

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

$y> \frac{1}{3}x$ .

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

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