Answer:
Option A is correct.
Step-by-step explanation:
The following matrix represent the augmented matrix
In augmented matrix the left side represent the co-efficient of the variables and right side represent the value of variables.
Since the matrix has been solved and reduced so, the solution of variables x, y and z is written on right side of augmented matrix
The given matrix is:
![\left[\begin{array}{cccc}1&0&5&-2\\0&0&3&0\\0&0&0&-1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%260%265%26-2%5C%5C0%260%263%260%5C%5C0%260%260%26-1%5Cend%7Barray%7D%5Cright%5D)
Since the last row is all zero and we have a non zero entry for the solution, the matrix is inconsistent.
As the variables have zero values, there cannot be any solution
So, there is no solution.
So, Option A is correct.
Answer:
- <em>D. The game is not fair because the probability of Hal drawing a winning letter is less then the probability of Renee drawing a winning letter </em>
Explanation:
The word is not probably, which has 8 letters, but probability, which has 11 letters
<u>1. Hal</u>
Probability of drawing a vowel
- The vowels are: o, a, i, i, and y: 5
- The total number of letters in the bag is 11.
- Probability of vowel = 5 / 11
<u>2. Renee</u>
Probability of drawing a consonant
- The consonants are: p, r, b, b, l, t, and y: 7
- Probability of a drawing a consonant: 7 /11
<h2>Conclusion</h2>
As you see, the probability of drawing a vowel (5/11), which is the winning letter for Hal, is less than the probability of drawing a consonant (7/11), which is the winning letter of Renee. Then,
- The game is not fair because the probability of Hal drawing a winning letter is less then the probability of Renee drawing a winning letter.
Answer:
a movement one single movement cultivating one group
Answer:
B. $1680
Step-by-step explanation:
Note the simple interest formula:
Interest = (Principal)(rate)(time)
Principal = $6000
Rate = 7% = 0.07
Time = 4
Plug in the corresponding numbers for the corresponding variables.
I = (P)(R)(T)
I = (6000)(0.07)(4)
Multiply.
I = (24000)(0.07)
I = 1680
Interest is $1680.
~
The final answer follows the y=mx+b, where m is the slope and b is the y intercept. So the slope is equal to 1/2 and the y intercept is equal to - 2.
