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3 years ago

Write the system in a matrix equation. Then, find the determinant of the matrix containing the coefficients.

Mathematics

1 answer:

Shtirlitz [24]3 years ago

5 0

Answer:

See below for the matrix

D = 100

Step-by-step explanation:

$\left[\begin{array}{cccc}3&2&1&-8\\-1&-2&4&7\\1&-6&-3&15\end{array}\right]$

3 2 1

D = -1 -2 4 = 3(-2)(-3) + 2(4)(1) + 1(-1)(-6)

1 -6 -3

- 1(-2)(1) - 3(4)(-6) - 2(-1)(-3)

= 18 + 8 + 6 + 2 + 72 - 6

= 100

Sorry, I can't type the vertical bars.

I hope this is what you are looking for.

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A large on-demand, video streaming company is designing a large-scale survey to determine the mean amount of time corporate exec

Firdavs [7]

Answer:

554 executives should be surveyed.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Standard deviation of 3 hours.

This means that $\sigma = 3$

The 95% level of confidence is to be used. How many executives should be surveyed?

n executives should be surveyed, and n is found with $M = 0.25$ . So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.25 = 1.96\frac{3}{\sqrt{n}}$

$0.25\sqrt{n} = 1.96*3$

$\sqrt{n} = \frac{1.96*3}{0.25}$

$(\sqrt{n})^2 = (\frac{1.96*3}{0.25})^2$

$n = 553.2$

Rounding up:

554 executives should be surveyed.

8 0

3 years ago

Help me with 20 please

Murrr4er [49]

24%------360(24% is 360m)

100%-------x (100% is x)

to find x we have too cross multiply

x=100*360/ 24= 1500

hope this helps

8 0

3 years ago

Describe the error in the subtraction shown below

Gemiola [76]

Answer:

-11x+12

Step-by-step explanation:

(x^2-4x+3)-(x^2+7x-9)

x^2-x^2-4x-7x+3-(-9)

-11x+3+9

-11x+12

8 0

3 years ago

Read 2 more answers

Which Property of real numbers does this equation show? 4 x 1 = 4

Colt1911 [192]

Answer:

This is multiplicative identity in which 4✖️1=4

Step-by-step explanation:

Hope it will help you:)

7 0

3 years ago

Which of the following points is on the graph of y=x^2-4x+5 ?

Andrews [41]

Answer:

0,7

Step-by-step explanation:

6 0

3 years ago