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4 years ago

15

I have 2 questions. 1. Find the mode and the median for this data set. 5,7,5,8,9,5,8. 2. Write 543.24 in expanded form.

1 answer:

katen-ka-za [31]4 years ago

3 0

To find the median, put the numbers in order to least to greatest, which would be 5, 5, 5, 7, 8, 8, 9. the median is the number in the middle, which is seven. the mode is the number that occurs most often in the set, which is 5 in this case (appears three times). 2. 543.24 in expanded form is essentially pulling the number apart into its different values places. in this case, it would be five hundred plus forty plus three plus two tenths plus four hundredths, which is 500 + 40 + 3 + .2 + .4. hope this helps!

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Please help with question A and show work!! thank you

Digiron [165]

The equation for the line of reflection is x = 2.
If you drew a vertical line crossing the x-axis on x = 2, the drawing will be the same on the left and right side, as if one side was drawn then exactly copied on the other side but flipped.
The figure is symmetrical, and x = 2 is the line of symmetry.
Hope this helps!

8 0

3 years ago

Write an equation of the perpendicular bisector of the segment with the endpoints (8,10) and ( -4,2).

ale4655 [162]

Answer:

The required equation is:

$y = -\frac{3}{2}x+9$

Step-by-step explanation:

To find the equation of a line, the slope and y-intercept is required.

The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.

Given points are:

$(x_1,y_1) = (8,10)\\(x_2,y_2) = (-4,2)$

We will find the slope of given line segment first

$m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{2-10}{-4-8}\\=\frac{-8}{-12}\\=\frac{2}{3}$

Let m_1 be the slope of perpendicular bisector then,

$m.m_1 = -1\\\frac{2}{3}.m_1 = -1\\m_1 = \frac{-3}{2}$

Now the mid-point

$(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\= (\frac{8-4}{2} , \frac{10+2}{2})\\=(\frac{4}{2}, \frac{12}{2})\\=(2,6)$

We have to find equation of a line with slope -3/2 passing through (2,6)

The equation of line in slope-intercept form is given by:

$y = m_1x+b$

Putting the value of slope

$y= -\frac{3}{2}x+b$

Putting the point (2,6) to find the y-intercept

$6 = -\frac{3}{2}(2)+b\\6 = -3+b\\b = 6+3 =9$

The equation is:

$y = -\frac{3}{2}x+9$

7 0

3 years ago

MATHEMATICS<br> Evaluate (0.110 two)³ expressing your answer in base ten.

zysi [14]

Evaluating (0.110 two)³ in base ten is (343/512) ten

The question has to do with number base

<h3>What is number base?</h3>

A number base is a system of numbering used to represent numbers.

<h3>How to evaluate (0.110 two)³ in base ten.</h3>

Since we have (0.110 two)³,we desire to convert 0.110 two to base ten.

So, converting 0.110 two to base ten, following the procedure, we have that

0.110 two = 0 × 2⁰ + 1 × 2⁻¹ + 1 × 2⁻² + 1 × 2⁻³

= 0 × 2⁰ + 1 × 1/2¹ + 1 × 1/2² + 1 × 1/2³

= 0 × 1 + 1 × 1/2 + 1 × 1/4 + 1 × 1/8

= 0 + 1/2 +1/4 + 1/8

= (4 + 2 + 1)/8

= 7/8

So, thus 0.110 two = (7/8) ten

Thus we see that (0.110 two)³ = (7/8)³ ten

= (343/512) ten

So, expressing (0.110 two)³ in base ten is (343/512) ten

Learn more about number base here:

brainly.com/question/27072175

#SPJ1

4 0

2 years ago

IF you help me I will give you 14 points and a brainist and thank you and 5 stars

ElenaW [278]

Answer:

D

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

(a) Show that y Superscript 8 Baseline plus x minus 3 equals 0 is an implicit solution to StartFraction dy Over dx EndFraction

Nitella [24]

Answer:

a

Step-by-step explanation:

8 0

3 years ago