Answer:
x = 1
y = 5
z = 2
Step-by-step explanation:
System of equations:
6x - 2y + z = -2
2x + 3y - 3z = 11
x + 6y = 31
Isolate one variable in any of the equations:
x + 6y = 31
x = 31 - 6y
Plug in this value for x in another equation:
6(31 - 6y) - 2y + z = -2
186 - 36y - 2y + z = -2
186 - 38y + z = -2
-38y + z = -188
z = -188 + 38y
Plug in these values in the remaining equation:
2(31 - 6y) + 3y - 3(-188 + 38y) = 11
62 - 12y + 3y + 564 - 114y = 11
626 - 12y + 3y - 114y = 11
626 - 9y - 114y = 11
626 - 123y = 11
-123y = -615
y = 5
Plug in value of y into our other answers to solve for x and z:
x = 31 - 6(5)
x = 31 - 30
x = 1
z = -188 + 38(5)
z = -188 + 190
z = 2
Check your work:
6x - 2y + z = -2
6(1) - 2(5) + 2 = -2
6 - 10 + 2 = -2
-4 + 2 = -2
-2 = -2
Correct!
*Note there are several ways to solve for these types of problems. I used substitution*
Answer:
the probability that a code word contains exactly one zero is 0.0064 (0.64%)
Step-by-step explanation:
Since each bit is independent from the others , then the random variable X= number of 0 s in the code word follows a binomial distribution, where
p(X)= n!/((n-x)!*x!*p^x*(1-p)^(n-x)
where
n= number of independent bits=5
x= number of 0 s
p= probability that a bit is 0 = 0.8
then for x=1
p(1) = n*p*(1-p)^(n-1) = 5*0.8*0.2^4 = 0.0064 (0.64%)
therefore the probability that a code word contains exactly one zero is 0.0064 (0.64%)
Answer:
2.631578947368421
Step-by-step explanation: 250 divided by 95 is 2.631578947368421
<h3>
Answer: Approximately 2.1667</h3>
==========================================================
Explanation:
First we need to find the arithmetic mean.
Add up the values to get 3+8+6+9+2+5 = 33
Divide this over 6 because there are 6 values: 33/6 = 5.5
The mean is 5.5
------
Subtract the mean from each data value. Apply absolute value to ensure the result is not negative.
- |3 - 5.5| = |-2.5| = 2.5
- |8 - 5.5| = |2.5| = 2.5
- |6 - 5.5| = |0.5| = 0.5
- |9 - 5.5| = |3.5| = 3.5
- |2 - 5.5| = |-3.5| = 3.5
- |5 - 5.5| = |-0.5| = 0.5
Each result represents how far that specific data value is from the mean. Absolute value is used to find distance on a number line.
Add up each of those results to get: 2.5+2.5+0.5+3.5+3.5+0.5 = 13
Then divide by 6 to find the average: 13/6 = 2.1667 which is approximate
The mean absolute deviation represents the average distance any given value is from the mean. The term "deviation" refers to how far each data value is from the mean, which is the center point we're after more or less.
The MAD (mean absolute deviation) effectively measures how spread out the data set is. The larger the MAD, the more spread out the data is likely to be. The range, standard deviation and variance are also measures of spread.
Answer:
3.36:45=0,8
4.40:32=1,25
536:45=0,8
6.48:50=0,96
Hope it helps and likes it
