Which modified box plot represents the data set? 39, 39, 3, 40, 46, 48, 60, 62, 62

Mathematics

2 answers:

Lynna [10]4 years ago

8 0

Answer:

Leave a thanks. I would really appreciate it.

Musya8 [376]4 years ago

4 0

To find this question, you first should put your data values in order from least to greatest. Doing so would look like this:

3, 39, 39, 40, 46, 48, 60, 62, 62

Now find the median, the middle number. This would be 46. This would also be the middle point on your box and whisker plot. Looking at your answer choices, the only one that has the middle point at 46 is the last one. So that is your answer.

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Write the equation of a line, in slope-intercept form, that has a slope of m=9 and passes through the point (4, 31) .

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Answer:

$\sf y=9x-5$

Step-by-step explanation:

$\begin{aligned}&\sf y-y_1=m(x-x_1) \\&\sf y-31=9(x-4) \\&\sf y-31=9x-36 \\&\sf y=9x-36+31 \\&\boxed{\sf y=9x-5} \end{aligned}$

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11th grade geometry:

Aliun [14]

Answer:

The perimeter is 72 units and the area is 149 square units.

Step-by-step explanation:

$\triangle SBA$ has coordinates $S(15,-8),B(-2,21)$ and $A(0,0)$

Using the distance formula.........

Length of side $SB = \sqrt{(15+2)^2+(-8-21)^2}= \sqrt{17^2+(-29)^2}= \sqrt{1130}$

Length of side $BA= \sqrt{(-2)^2+(21)^2}= \sqrt{445}$

Length of side $AS =\sqrt{(15)^2+(-8)^2}=\sqrt{289}=17$

So, the perimeter of the triangle will be: $(SB+BA+AS)= \sqrt{1130}+ \sqrt{445}+17 =71.71... \approx 72$ units. (Rounded to the nearest unit)

The height of the triangle for the corresponding base $SB$ is 8.89 units.

Formula for the Area of triangle, $A= \frac{1}{2}(base\times height)$

So, the area of the $\triangle SBA$ will be: $\frac{1}{2}(\sqrt{1130}\times 8.89)= 149.42... \approx 149$ square units. (Rounded to the nearest unit)