Answer:
Y = [-6 6 6 -6]
Step-by-step explanation:
From the given matrices
If X - 2Y = Z
b - 2c = a ... 1
a -2d = c ...2
4+2a = 16.... 3
a + 2b = b .... 4
From3 ;
2a = 16-4
2a = 12
a = 6
From 4;
a + 2b - b = 0
a+b = 0
a = -b
6 = -b
b = -6
From1;
b - 2c = a
-6 - 2c = 6
-2c = 12
c = -6
also
a - 2d = c
6-2d = -6
-2d = -6-6
-2d = -12
d = 6
Hence the matrices Y = [-6 6 6 -6]
Answer:
A,F,J
Step-by-step explanation:
they are in simplified form and in the correct order
Answer:
- x = 30°
- DB = 26
- AD = BC = AB = DC = 7
Step-by-step explanation:
- <em>Diagonals of a square are congruent and perpendicular and bisect each other</em>
<h3>Q4</h3>
m∠AEB = 3x
m∠AEB = 90°
<h3>Q5</h3>
AE = 3x - 2
EC = 2x + 3
- AE = EC
- 3x - 2 = 2x + 3
- 3x - 2x = 3 + 2
- x = 5
DB = EC = 2(AE) = 2(3*5 - 2) = 2(13) = 26
<h3>Q6</h3>
<u>AD and BC are the sides, which are equal</u>
- 2x - 1 = 5x - 13
- 5x - 2x = 13 - 1
- 3x = 12
- x = 4
AD = BC = AB = DC = 2*4 - 1 = 7
A measure of the variation around the estimate of the mean.
The standard deviation is a statistic that lets you know how tightly all the subjects are clustered around the mean in a set of data. A single standard deviation away from the mean in either of the directions accounts for somewhere around 68 % of data. If two standard deviations are away from the mean, it accounts for around 95% of data. If three standard deviations are away it accounts for 99% of the data.
1) The total range of variation in the dataset is called RANGE.
3) A measure of the variation around the estimate of the mean is SEM (STANDARD ERROR OF THE MEAN).
4) The most common value observed (highest frequency) is MODE.
1 hour 30 mins because you add up the minutes from both individually and then subtract.