All categories

3 years ago

The graph shows a 90° rotation. The matrix M such that, for any point (x, y), M(x, y) = (x', y') is

Mathematics

1 answer:

guapka [62]3 years ago

4 0

Answer:

A) $\left[\begin{array}{cc}0&-1\\1&0\end{array}\right]$

Step-by-step explanation:

The rotation matrix for a clockwise rotation through angle θ is given by ...

$M=\left[\begin{array}{cc}\cos{(\theta)}&-\sin{(\theta)}\\\sin{(\theta)}&\cos{(\theta)}\end{array}\right]$

When θ = 90°, the matrix becomes the one in choice A).

You might be interested in

Solve for x <br> help ASAP

puteri [66]

Answer: x=6 and the angle is 50

Step-by-step explanation:

1. a whole triangle = 180°

2. subtract 70 and 60 to get 50

3. subtract 2 from 50 and get 48

4. divide 48 by 8 and you get 6.

hope this helps :) everyone reading this have a great day!

7 0

3 years ago

Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor

iren2701 [21]

Answer:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,0.08)$

Where $\mu$ and $\sigma=0.08$

Since the distribution for X is normal then the we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard error is given by:

$SE= \frac{0.08}{\sqrt{24}}= 0.0163$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,0.08)$

Where $\mu$ and $\sigma=0.08$

Since the distribution for X is normal then the we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard error is given by:

$SE= \frac{0.08}{\sqrt{24}}= 0.0163$

8 0

3 years ago

150 students attended the event they were 60 cars in the student parking lot what was the ratio of students to cars?

tatyana61 [14]

150 to 60. But the more commen why to do that were to simplify it.

6 0

3 years ago

Read 2 more answers

Which rule describes the transformation? R0, 90° R0, 180° R0, 270° R0, 360°

bekas [8.4K]

Answer:

R0, 90 degrees

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A department store is selling a watch with an initial price of 340. if the price of the watch is marked down by 35%, what is the

sladkih [1.3K]

Answer:

$221

Step-by-step explanation:

First we need to find what is 35% of 340. To do this, we multiply 340 by 0.35. This gives us 119. Because this is the amount they are taking off, we need to subtract it from the initial price. 340-119=221. Therefore the price after being marked down is $221 :)

7 0

3 years ago