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Vinvika [58]
3 years ago
6

If n,6 M are in geometric sequence n,7.5, m are in arithmetic sequence ,then find the value of n and m?​

Mathematics
1 answer:
hjlf3 years ago
3 0

Answer:

if  n,6,m are in geometric sequence

=> 6/n = m/6

⇔ mn = 36       (1)

if n,7.5, m are in arithmetic sequence

=> 7.5 - n = m - 7.5

<=> m + n = 15     (2)

from (1)(2), we have the equations:

\left \{ {{mn=36} \atop {m+n=15}} \right.\\\\\left \{ {{mn=36} \atop {m=15-n}} \right.\\\\\left \{ {{(15-n)n=36} \atop {m=15-n}} \right.\\\\\left \{ {{n^{2}-15n+36 =0} \atop {m=15-n}} \right.\\\\\left \{ {{n=12orn=3} \atop {m=15-n}} \right.

with n = 12 => m = 3

       n = 3 => m = 12

=> (m;n) = {(3;12),(12;3)}

Step-by-step explanation:

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Aleksandr-060686 [28]

Answer:

TV = 29

Step-by-step explanation:

TU + UV  = TV

x + 5 + 20 = 10x - 11

5 + 20 + 11 = 10x - x

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Dmitriy789 [7]

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Step-by-step explanation:

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3 years ago
As every Girl Scout knows, statistics teachers seriously love Girl Scout Cookies. The number of boxes of GS cookies statistics t
Alexandra [31]

Answer:

a) 0.75

b) 0.0625

c) 0.1875

d) 0.375

Step-by-step explanation:

Let's start by first finding the probability a teacher orders 6 boxes. Since it is a four sided dice, the probability of getting a 1 is going to be 0.25.

Similarly, for any other number on the dice, the teacher orders 2 boxes. We can think of this as NOT rolling a 1. Using our previous answer, this comes out to be: 1 - 0.25 = 0.75

It should be remembered in the following answers that teachers ordering 6 or 2 boxes are not influenced by the results of other teachers. These are statistically independent events.

a) As given above, this probability is 0.75

b) The probability that both teachers order 6 boxes will be their individual probabilities multiplied. This comes out to be: 0.25 x 0.25 = 0.0625

c) Like in part (b), this is both of their probabilities multiplied:

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d) This is nearly the same as part (c), but with a little twist. The order matters. There are two scenarios:

  1.   First teacher gets 6 boxes, and the second gets 2.
  2.   First teacher gets 2 boxes, and the second gets 2.

Both of these events have a probability of 0.1875, as shown in (c). To get the total probability of this event happening, we must add these together:

0.1875 + 0.1875 = 0.375

4 0
3 years ago
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