Answer:
A
Step-by-step explanation:
To answer this, look at one specific point for example, A. It is at the point (3,6). In order for this point to get to where it was moved to, you must rotate it counterclockwise () 90 degrees. Do this by changing the initial point from (x,y) to (-y,x). This is located at (-6,3). Then you can see that it was translated 2 units up from there.
I hope this helped.
123 centimeters into dekameters
0.123
10 centimeters = 1 decimeter
100 decimeters = 1 dekameter
Therefore, 100 centimeters = 10 decimeters = 0.1
23 centimeters = 2.3 decimeters = 0.023
0.1 + 0.023 = 0.123 dam
All these appear to be physic phenomena because they do not change the composition of the matter.
<span>However, while rotations, translations and reflexions do not alter the volume of the matter, dilation does increase the volume. </span>
<span>Dilation, by definition, is an enlargement of the matter and directly opposed to contraction. For example, heat dilates the matter, while colds contract it. The exception to this is that when water becomes ice due to cold, it increases in volume.</span>
Answer:
No, there is not sufficient evidence to support the claim that the bags are underfilled
Step-by-step explanation:
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.
This means that the null hypothesis is:
It is believed that the machine is underfilling the bags.
This means that the alternate hypothesis is:
The test statistic is:
In which X is the sample mean, 
is the value tested at the null hypothesis, 
is the standard deviation and n is the size of the sample.
434 is tested at the null hypothesis:
This means that 
A 9 bag sample had a mean of 431 grams with a variance of 144.
This means that 
Value of the test-statistic:
P-value of the test:
The pvalue of the test is the pvalue of z = -0.75, which is 0.2266
0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.
