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Paladinen [302]
3 years ago
10

find the distance between each pair of points. if necessary, round to the nearest tenth. a(0,3), b(0,12)

Mathematics
1 answer:
statuscvo [17]3 years ago
7 0
The distance between a & b is 3
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There are 20 percent more goblins than wizards in magic club. There are 120 goblins in magic club.
sineoko [7]

Answer:

144

Step-by-step explanation:

120 x 1.20 = 144

.20 is 20% and adding the 1 adds it to the original value

5 0
2 years ago
What is the approximate value for the modal daily sales?
Aleksandr [31]

Answer:

Step-by-step explanation:

Hello!

<em>The table shows the daily sales (in $1000) of shopping mall for some randomly selected  days </em>

<em>Sales 1.1-1.5 1.6-2.0 2.1-2.5 2.6-3.0 3.1-3.5 3.6-4.0 4.1-4.5 </em>

<em>Days 18 27 31 40 56 55 23 </em>

<em>Use it to answer questions 13 and 14. </em>

<em>13. What is the approximate value for the modal daily sales? </em>

To determine the Mode of a data set arranged in a frequency table you have to identify the modal interval first, this is, the class interval in which the Mode is included. Remember, the Mode is the value with most observed frequency, so logically, the modal interval will be the one that has more absolute frequency. (in this example it will be the sales values that were observed for most days)

The modal interval is [3.1-3.5]

Now using the following formula you can calculate the Mode:

Md= Li + c[\frac{(f_{max}-f_{prev})}{(f_{max}-f_{prev})(f_{max}-f_{post})} ]

Li= Lower limit of the modal interval.

c= amplitude of modal interval.

fmax: absolute frequency of modal interval.

fprev: absolute frequency of the previous interval to the modal interval.

fpost: absolute frequency of the posterior interval to the modal interval.

Md= 3,100 + 400[\frac{(56-40)}{(56-40)+(56-55)} ]= 3,476.47

<em>A. $3,129.41 B. $2,629.41 C. $3,079.41 D. $3,123.53 </em>

Of all options the closest one to the estimated mode is A.

<em>14. The approximate median daily sales is … </em>

To calculate the median you have to identify its position first:

For even samples: PosMe= n/2= 250/2= 125

Now, by looking at the cumulative absolute frequencies of the intervals you identify which one contains the observation 125.

F(1)= 18

F(2)= 18+27= 45

F(3)= 45 + 31= 76

F(4)= 76 + 40= 116

F(5)= 116 + 56= 172 ⇒ The 125th observation is in the fifth interval [3.1-3.5]

Me= Li + c[\frac{PosMe-F_{i-1}}{f_i} ]

Li: Lower limit of the median interval.

c: Amplitude of the interval

PosMe: position of the median

F(i-1)= accumulated absolute frequency until the previous interval

fi= simple absolute frequency of the median interval.

Me= 3,100+400[\frac{125-116}{56} ]= 3164.29

<em>A. $3,130.36 B. $2,680.36 C. $3,180.36 D. $2,664</em>

Of all options the closest one to the estimated mode is C.

5 0
3 years ago
Divide fractions: 5/6 divided by 6/10 (leave as improper fraction if necessary)
tankabanditka [31]

Answer:

25/18

Step-by-step explanation:

5/6 / 6/10

K    C    F

5/6 * 10/6

50/36 = 25/18

5 0
3 years ago
Jonah recorded the points his team scored during its last nine basketball
Ainat [17]

Jonah recorded the points his team scored during its last nine basketball

games. The mean number of points scored was 42 and the MAD Was 4.4.

The MAD shows that the scores generally varied greatly from the mean.

The scores were mostly less than

38 (42 -4.4 = 37.6)

greater than

46 (42 + 4.4 = 46.4).

#SPJ1

5 0
1 year ago
Write the slope-intercept form of the equation of the line through the given points:
vredina [299]

Answer:

equation of line

x-2y=8

Step-by-step explanation:

equation of line in slope intercept form

(y-y1)={(y2-y1)/(x2-x1)}(x-x1)

 or,(y+3)={(-5+3)/(-2-2)}(x-2)

 or,(y+3)=(1/2)(x-2)

  or,2y+6=x-2

   or,6+2    =x-2y  

or,x-2y=8

3 0
2 years ago
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