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Igoryamba
3 years ago
7

What is the general form of the equation of the given circle with center A

Mathematics
1 answer:
Nonamiya [84]3 years ago
5 0
When the centre A(xa,ya) and radius are given, the general equation is

(x-xa)^2+(y-ya)^2=r^2

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12, 9, 15, 19, 20, 15<br><br> Mean <br><br> Median <br><br> Mode
Ede4ka [16]

Answer:

Mean: 15

Median:  15

Mode:  15

Step-by-step explanation:

<h2>Definitions:</h2>

<u>Mean</u>: It represents the average value of a given data set. The formula for finding the mean of a given set of numbers by taking the quotient of all numbers and the number of values. In other words:

\displaystyle\mathsf{Mean\:=\:\frac{Sum\:of \:all\: values}{Number\:of\:values \:in\: a \:given \:data\:set}}

<u>Median:</u> It represents the middle value in a given set of numbers. In order to determine the median, it is essential to arrange the given data either in <em>ascending</em> or <em>descending</em> order (although it is customary to arrange the numbers into ascending order).

  • If there is an odd number of values in a given set, then the <u>middle number</u> is the median of that set.
  • If a given list comprises of an even number of items, then we must take the <em>average</em> of the two middle numbers.

<u>Mode</u>: It represents the number that <u>occurs most often</u> on a list of items or data.

<h2>Solution:</h2><h3><u>Find the Mean:</u></h3>

Using the formula provided in the previous section for finding the mean:

\displaystyle\mathsf{Mean\:=\:\frac{Sum\:of \:all\: values}{Number\:of\:values \:in\: a \:given \:data\:set}}

\displaystyle\mathsf{Mean\:=\:\frac{12+9+15+19+20+15}{6}\:=\:\frac{90}{6}\:=\:15}

<h3><u>Find the Median:</u></h3>

Arrange the given data set in <u><em>ascending order</em></u>:

12, 9, 15, 19, 20, 15  ⇒  9, 12, <u>15</u>, <u>15</u>, 19, 20

Next, since there is an even number of items on our given data set, we must <u>take the average of the</u><u> two middle numbers</u> (which are 15 and 15):

\displaystyle\mathsf{Median\:=\:\frac{15+15}{2}\:=\:\frac{30}{2}\:=\:15}

Therefore, the median is 15.

<h3><u /></h3><h3><u>Find the Mode:</u></h3>

As described in the previous section of this post, the mode is the number that occurs most often on our given data. The only repeating number on our list is 15, hence it is the mode.

Therefore, the <em>mean</em>, <em>median</em>, and <em>mode</em> of the given data set is <u>15</u>.

6 0
2 years ago
For which inequality is x = 5 a solution?
adoni [48]
<h3>C. <u>x > 42 </u></h3>

<u>Hope</u><u> </u><u>this will</u><u> </u><u>help</u><u>.</u><u>.</u><u>.</u><u> </u>

7 0
3 years ago
List 5 ways to draw a rectangle into a congruent figure using one line
erastovalidia [21]
Cut in half long ways and short ways straight down the middle
the a line from opposite corners each way 
then a slanted line the hits the center would also create two congruent figures
3 0
3 years ago
Read 2 more answers
jill bikes for 1/5 of an hour at 16 mph and then walks for 3/7 hour at 5 miles per hour how much farther did she bike then walk
Montano1993 [528]

Ans: 1.1 miles more

Speed = distance/time

Time is 1/5 of an hour

1/5 of 1hr = 1/5 or 0.2 hrs

Speed = 16 mph

So, we're after distance.

Distance = speed x time

= 16mph x 0.2

= 3.2 miles

Walks for 3/7 hour at 5 miles per hour :

Time & speed given, distance is what we're after.

(3/7 of 1hr is 3/7)

Distance = speed x time

= 5mph x 3/7

= 15/7 miles or 2.14285...miles

So, distance is about 2.1 miles to 1 d.p

Thus, 3.2 - 2.142... (the full ans) = 1.057... miles

Well, he biked 1.06 miles or 1.1 miles (depending on how you want to round it) more than walking.

Hope this helps!

7 0
2 years ago
Read 2 more answers
HELP! 40 points!
Vitek1552 [10]
Y-14=12# x+1 answer of math
7 0
3 years ago
Read 2 more answers
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