Answer:
Step-by-step explanation:
-2x + 3y – 4z = 8 ----------------(I)
5x – 3y + 5z = -8 -----------------(II)
7x – 3y + 3z = 8 ------------------(III)
Add equation (I) & (II) and thus y will be eliminated
(I) -2x + 3y – 4z = 8
(II) <u>5x – 3y + 5z = -8</u> {Add}
3x + z = 0 ------------------------(A)
Multiply equation (II) by (-1) and then add with equation (III). Thus y will be eliminated.
(II) * (-1) -5x + 3y - 5z = +8
<u>7x – 3y + 3z = 8</u> {Add}
2x -2z = 16 ---------------(B)
Multiply equation (A) by 2 and then add. Thus z will be eliminated and we will get the value of x
(A) * 2 6x + 2z = 0
(B) <u>2x - 2z = 16</u> {Add}
8x = 16
Divide both sides by 8
x = 16/8
x = 2
Plugin x = 2 in equation (A)
3x + z = 0
3*2 + z = 0
6 + z = 0
z = -6
Plug in x = 2 and z = - 6 in equation (I)
-2x +3y - 4z = 8
-2*2 + 3y - 4*(-6) = 8
-4 + 3y + 24 = 8
3y + 20 = 8
3y = 8 - 20
3y = -12
y = -12/3
y = -4
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Answer:
- 4, 7
Step-by-step explanation:
Let the required number be x.
Therefore, according to the given condition:
Answer:
5cm
Step-by-step explanation:
Since the pencil would only fit diagonally, the diameter would have to be half its length. The pencil is 10 centimeters long and 5 centimeters would be half of it.
Note:
Pls notify me if my answer is incorrect for the other users that will see this message. Thank you.
<em>-kiniwih426</em>
Answer:
3 standard deviations
from the mean is 6 pounds to 18 pounds.
Step-by-step explanation:
The above question is solved using empirical rule
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ
From the above question
μ = 12 pounds
σ = 2 pounds
Hence:.
3 standard deviations from the mean is calculated as
μ - 3σ
[12 - 3(2)] pounds
=( 12 - 6) pounds
= 6 pounds
μ + 3σ
[12 + 3(2)] pounds
=( 12 + 6) pounds
= 18 pounds
Hence,3 standard deviations
from the mean is 6 pounds to 18 pounds.
on:
