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abruzzese [7]
3 years ago
14

Find out the Range coefficient of the range

Mathematics
1 answer:
Alex777 [14]3 years ago
7 0

Answer:

0.4494

Step-by-step explanation:

Given :

marks number of students

20-29 8

30-39 12

40-49 20

50-59 7

60-69 3​

The range Coefficient is obtained thus :

Range Coefficient = (Xm - Xl) / (Xm + Xl)

Where ;

Xm = Mid value of highest class = (60+69)/2 = 64.5

Xl = Mid value of lowest class = (20+29)/2 = 24.5

Range Coefficient = (64.5 - 24.5) / (64.5 + 24.5)

Range Coefficient = 40 / 89 = 0.4494

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Find the smallest positive integer that has a remainder of 2 when divided by 4 and remainder of 3 when divided
mestny [16]

Answer:

18

Step-by-step explanation:

Hello

The number is more by three than a multiple of of 5 (i.e 5x +3) and more than 2 than a multiple of 4 (ie 4y+2(

Now 5x+3=4y+2

ie 5x +1 =4y

we need to give the lowest pair of values to x and y such that the last equality is satisfied.

By trial, x = 3 and y = 4

thus the number is 5x+3 =5(3)+3 =18=4y+2 =4(4)+2=18

I hope it has helped you.

4 0
3 years ago
Find a substance half-life in days. round your answer to the nearest tenths
jeka57 [31]
A 33 gram sample has k value of .1124
(Actually I think the problem SHOULD be worded: A 33 gram sample has k value of -.1124/days)

See attached graphic:
Half-Life = ln (.5) / k
Half-Life = -.693147 / -.1124/days
Half-Life = <span> <span> <span> 6.1667882562 </span> </span> </span> days

Source:
http://www.1728.org/halflif2.htm





3 0
3 years ago
Read 2 more answers
Questione Simplify Cosa + 2Cos(a +240")​
melamori03 [73]

Step-by-step explanation:

\cos(a)  + 2 \cos(a + 240)

\cos(a)  + 2 \cos(a)  \cos(240)  -  \sin(a)  \sin(240)

\cos(a)  + 2( -  \frac{ \cos(a) }{2}  +   \frac{ \sqrt{3} }{2}   \sin(a) )

\cos(a)  -  \cos(a)  +  \sqrt{3}  \sin(a)

\sqrt{3}  \sin(a)

If you graph the new identity, and the og identiy, they will be conciding graphs, so they are the same identity.

7 0
2 years ago
How do I do this? Please explain in detail.
umka2103 [35]
22.5/(x-6) + 22.5/(x+6) = 9
multiply by x-6
=> (x-6)22.5/(x-6) + (x-6)22.5/(x+6) = 9(x-6)
=> 22.5 + (x-6)22.5/(x+6) = 9(x-6)
multiply by x+6
=> (x+6)22.5 + (x+6)(x-6)22.5/(x+6) = 9(x-6)(x+6)
=> (x+6)22.5 + (x-6)22.5 = 9(x-6)(x+6)
distribute
=> 22.5x+6(22.5) + 22.5x - 6(22.5) = 9(x^2 - 36)
=> 45x = 9x^2 - 9(36)
=> 0 = 9x^2 - 45x - 9(36)
divide by 9
=> 0 = x^2 - 5x - 36
=> 0 = x^2 - 5x - 36
=> 0 = (x - 9)(x + 4)
x=9 and -4
8 0
3 years ago
Read 2 more answers
1. Nasim thinks of a number.
mrs_skeptik [129]

Step-by-step explanation:

5x-16 = 3 (10+x)

=> x= 23

7 0
2 years ago
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