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musickatia [10]
3 years ago
13

Need help with 13, 14, 15

Mathematics
1 answer:
beks73 [17]3 years ago
8 0

Answer:

answer for number 13 is C

answer for number 14 is A

answer for number 15 is A

Step-by-step explanation:

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Please explain on how to get the solution for each variable please
Margaret [11]

By algebraic handling we find that the unique solution of the system of linear equations is: (x, y, z) = (- 2, 4, 3). (Correct choice: A)

<h3>What is the nature of a system of linear equations?</h3>

If the system of equations has no solutions, then the determinant of the dependent coefficients of the system of linear equations must be zero. Let see:

D = \left|\begin{array}{ccc}1&1&1\\4&-1&-8\\-1&-1&7\end{array}\right|

This determinant can be determined by Sarrus' rule:

D = (1) · (- 1) · (7) + 4 · (- 1) · 1 + (- 1) · 1 · (- 8) - (- 1) · (- 1) · 1 + 4 · 1 · 7 - 1 · (- 1) · (- 8)

D = - 7  - 4 + 8 - 1 + 28 - 8

D = 16

The system of linear equations have at least one solution. This system has only one solution any of the three equations is not a function of the other two. By algebraic handling we find that the unique solution of the system is: (x, y, z) = (- 2, 4, 3).

To learn more on systems of linear equations: brainly.com/question/19549073

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5 0
2 years ago
Which of these conditions might be true if polygons ABCD and KLMN are similar?
Nimfa-mama [501]
I would say B.The measures of corresponding angles of ABCD and KLMN are in the ratio 1 : 2, but the lengths of corresponding sides of ABCD and KLMN are not proportional.
4 0
4 years ago
Read 2 more answers
Suppose we have two binomial populations where the true proportion of success is .2 for the first population and .3 for the seco
Veseljchak [2.6K]

Answer:

The value is not close to 0.3 because of sampling variability.

Step-by-step explanation:

The group of answer choices are not given which are as follows:  

  • All of the above
  • Because the sample size is too small  
  • Because of sampling variability  
  • Because of nonresponse bias

From this the correct option is option C which is Because of Sampling Variability.

This is true because the two populations are of different values and thus the sample is not dependent on any one of the two possibilities. When a sample of 4 is considered from first and 400 from the second the overall probability will be far from the value of 0.3. So the

7 0
3 years ago
Can someone help me with 3?
miskamm [114]

Answer:

a or c

Step-by-step explanation:

sana makatulong

sabi mo 3 lang yan tapos na

6 0
3 years ago
Jamal borrowed $15 600 for 6 years from a bank. The annual simple interest rate for the first 3 years is 1.6%. From then onward,
r-ruslan [8.4K]

Answer:

the interest owed is 1684.8

Step-by-step explanation:

Formula for simple interest =

I = Prt, where P is amount borrowed, r for interest rate and t for time.

Since the first three years is 1.6% interest we can write:

I = 15600 x 0.016 x 3

= 748.8

Then for the following 3 years the interest rate is 2%:

I = 15600 x 0.02 x 3

= 936

Adding the values gives us 1684.8

4 0
2 years ago
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