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mihalych1998 [28]
2 years ago
7

Identify the augmented matrix for the system of equations.

Mathematics
1 answer:
lord [1]2 years ago
8 0

Answer:

The augmented matrix for the system of equations is \left[\begin{array}{cccc}0&2&-3&1\\7&0&5&8\\4&1&-3&6\end{array}\right].

Step-by-step explanation:

This system consists in three equations with three variables (x, y, z).The augmented matrix of a system of equations is formed by the coefficients and constants of the system of linear equations. In this case, we conclude that the system of equations has the following matrix:

\left[\begin{array}{cccc}0&2&-3&1\\7&0&5&8\\4&1&-3&6\end{array}\right]

The augmented matrix for the system of equations is \left[\begin{array}{cccc}0&2&-3&1\\7&0&5&8\\4&1&-3&6\end{array}\right].

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Matthew completed 5/8 of his workday. What decimal would also describe the portion of the workday he has finished? How can you u
Natalija [7]

Answer:

a)D= 0.625 Decimal that describes the portion of the workday he has finished

b)P= D*100= 0.625*100=62.5%

P: percentaje

D: Decimal

Step-by-step explanation:

Nomenclature

F: fraction of daily workday

D: decimal of daily workday

P: percentage of daily workday

Formulas

F= a/b

D= a÷b

P= D*100

Problem development

We have:

F = 5/8, then:

D= 5÷8= 0.625

To obtain the percentage of the workday that Matew has completed, we multiply the decimal x 100

P= 0.625*100=62.5%

6 0
3 years ago
A manufacturing process outputs parts having a normal distribution with a mean of 30 cm and standard deviation of 2 cm. From a p
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Answer:

68% of the sample can be expected to fall between 28 and 32 cm

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 30

Standard deviation = 2

What proportion of the sample can be expected to fall between 28 and 32 cm

28 = 30-2

28 is one standard deviation below the mean

32 = 30 + 2

32 is one standard deviation above the mean

By the Empirical Rule, 68% of the sample can be expected to fall between 28 and 32 cm

7 0
3 years ago
Is the order pair 1,2 2,4 3,8 4,16 a function if yes then why
Vikentia [17]
No it is not a order pair. It’s not one because I did the work.
8 0
3 years ago
9. Earth turns on its axis once every 24 h. How many hours does earth take to complete 2 1/4 turns
Dima020 [189]

Answer:

54

Step-by-step explanation:

24* 2.25= 54

(.25 is 1/4 in decimal form)

7 0
2 years ago
Pls helppp!!! -------
Gelneren [198K]

Answer:

∠ A ≈ 44.42°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos A = \frac{adjacent}{hypotenuse}  = \frac{AC}{AB} = \frac{5}{7} , then

∠ A = cos^{-1} (\frac{5}{7} ) ≈ 44.42° ( to the nearest hundredth )

5 0
3 years ago
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