Answer: 180 cm
Step-by-step explanation: 1 decimeter = 10 centimeter
18 dm = 10 * 18 cm
18 dm = 180 cm
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We have two linear equations
3x - 2y = 7 -------- equation 1
6x - 4y = 14 -------- equation 2
These system linear equations can be solve simultaneously either by using the elimination method or substitution method
Let us try the elimination method
3x - 2y = 7
6x - 4y = 14
Firstly, let us eliminate x
To eliminate x , we need to make the value of x equal in both equations
To make the value of x equal, mulitply equation 1 by 2 and equation 2 by 1
3x * 2 - 2y * 2 = 7 x 2
6x * 1 - 4y * 1 = 14 x 1
6x - 4y = 14 -------- equation 3
6x - 4y = 14 ------- equation 4
To eliminate x, substract equation 4 from 3
6x - 6x -4y -(-4y) = 14 - 14
6x - 6x -4y + 4y = 14 - 14
0 - 0 = 0
0 = 0
From the above explanation, we can conclude that the system linear equations does not have a solution
The answer is OPTION A
Answer:
The number that belongs in the green P' = ([?], [ ]) with P' = (7, -8) box is;
7
Step-by-step explanation:
The coordinate of the given point 'P' is P = (3, -5)
The preimage of (x, y) after the translation,
= (x-coordinate + 4, y-coordinate - 3)
Therefore, the translation,
= T₍₄, ₋₃₎
Therefore, we have;
Preimage P(3, -5) under the translation T₍₄, ₋₃₎ gives the image P' as follows
P(3, -5)
P'(3 + 4, -5 - 3) = P'(7, -8)
Therefore, the number that belongs in the green box is the x-coordinate value of the point P'(7, -8) which is seven.
Answer:
Mean=20.5
standard deviation=13.28
Step-by-step explanation:
We are given six samples i.e.
36, 14, 21, 39, 11, and 2
Mean is the average of all the samples
Mean= sum of all samples/no. of samples
Mean=(36+14+21+39+11+2)/6
Mean=20.5
Standard deviation is the positive square root of variance where
variance= sum of square of samples/number of samples-(mean)²
variance=(36²+14²+21²+39²+11²+2²)/6-(20.5)²
= 596.5-420.25
= 176.25
standard deviation= √(176.25)
standard deviation= 13.28
Answer:
-1 1/12
Step-by-step explanation: