Point , j located at (2,7) is rotated 90° counterclockwise about (-1,-3). What is the y- coordinate of 1'? А 9 B 0 C -11 D-9

A 99% confidence interval for the mean μ of a population is computed from a random sample and found to be 6 ± 3. We may conclude

valentina_108 [34]

Answer:

A. there is a 99% probability that μ is between 3 and 9.

Step-by-step explanation:

From a random sample, we build a confidence interval, with a confidence level of x%.

The interpretation is that we are x% sure that the interval contains the true mean of the population.

In this problem:

99% confidence interval.

6 ± 3.

So between 6-3 = 3 and 6 + 3 = 9.

So we are 99% sure that the true population mean is between 3 and 9.

So the correct answer is:

A. there is a 99% probability that μ is between 3 and 9.

4 0

3 years ago

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[10] In the following given system, determine a matrix A and vector b so that the system can be represented as a matrix equation

irina1246 [14]

Answer:

$y=-\frac{158}{579}$

Step-by-step explanation:

To find the matrix A, took all the numeric coefficient of the variables, the first column is for x, the second column for y, the third column for z and the last column for w:

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

And the vector B is formed with the solution of each equation of the system: $b=\left[\begin{array}{c}3\\-3\\6\\1\end{array}\right]$

To apply the Cramer's rule, take the matrix A and replace the column assigned to the variable that you need to solve with the vector b, in this case, that would be the second column. This new matrix is going to be called $A_{2}$ .

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

The value of y using Cramer's rule is:

$y=\frac{det(A_{2}) }{det(A)}$

Find the value of the determinant of each matrix, and divide:

$y==\frac{\left|\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right|}{\left|\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right|} =\frac{158}{-579}$

$y=-\frac{158}{579}$

7 0

3 years ago

15 pts + brainliest to right/best answer

asambeis [7]

Split the second term 7x^2 - 8x - 12 into two terms

7x^2 + 6x - 14x - 12

Factor out common terms in the first two terms, then in the last two terms

x(7x + 6) - 2(7x + 6)

Factor out the common term; 7x + 6

4 0

3 years ago

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Consider the following statement. If r is any rational number and s is any irrational number, then r s is irrational. (a) Which

olganol [36]

Answer:

(a) If r is any rational number and s is any irrational number, then r/s is rational

(b) The statement is false when r is 0

Step-by-step explanation:

Given

$r \to$ rational number

$s \to$ irrational number

$\frac{r}{s} \to$ irrational number

Solving (a): The negation

To get the negation of a statement, we only need to negate the end result

In other words, the number type of r and s will remain the same, but r/s will be negated.

So, the negation is:

$r \to$ rational number

$s \to$ irrational number

$\frac{r}{s} \to$ rational number

Solving (b): When r/s is irrational is false

Given that:

$\frac{r}{s} \to$ irrational number

Set r to 0

So:

$\frac{r}{s} = \frac{0}{s}$

$\frac{r}{s} = 0$ -- rational

<em>Hence, the statement is false when r is 0</em>

8 0

3 years ago

Two boats leave the same harbor in Hawaii at the same time. Boat A is traveling due west at a speed of 45mph. Boat B is travelin

Andrew [12]

I quickly did this on paper and here is my answer I’m not 100% sure I’m correct but here it is

In 1 hour the boats will be 15 miles apart. In 3 hours the boats will be 45 miles apart.

Hope this helps :D

7 0

3 years ago

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Point , j located at (2,7) is rotated 90° counterclockwise about (-1,-3). What is the y- coordinate of 1'? А 9 B 0 C -11 D-9​

Point , j located at (2,7) is rotated 90° counterclockwise about (-1,-3). What is the y- coordinate of 1'? А 9 B 0 C -11 D-9