Answer:
<h2>V = 288π cm³</h2><h2 />
Step-by-step explanation:
volume of a cylinder = π r² h
where: r = radius = 8/2 = 4 cm
h = height = 18 cm
plugin values into the formula:
V = π (4)² 18
V = 288π cm³
B and D
Hope this helps(just for word count lol)
Answer:
Option(b)
The range of numbers that satisfy the inequality x greater that 12.4 is the range of numbers has a lower limit but no upper limit Option(b)
E<u>xplanation: </u>
The range of numbers are described in a condition X> 12.4
here the value 12.4 is said to set as the threshold value
(i.e) the lower most value taken into account. The greater than symbol indicates that inequality value should be greater than 12.4. Therefore it is summarized that the lower limit is limited to 12.4 value and the upper value has no limit.
In order to round off to the nearest hundred we have to check the place value on immediate right of the hundred place value. The digit on the right of the hundred is the tens digit. 47 can be written as 047.
The digit on the tens place is 4. So we have to round based on the value of 4.
The rule is if the number on right is 5 or greater than 5, the next digit would be rounded of the next higher digit and the digits on right will be replaced by zeros. If the number is less than 5, the digit will not be changed and all the digits on the right will be replaced by zeros.
In 047, 4 is less than 5. So the first 0 will not change, and the digits on right i.e. 4 and 7 will be replaced by zeros.
So 47 rounded off to the nearest hundred will be 000.
Answer:
![r = -0.39](https://tex.z-dn.net/?f=%20r%20%3D%20-0.39)
And the determination coeffcient is just the correlation coeffcient square and we got:
![R = r^2 = (-0.39)^2 =0.1521](https://tex.z-dn.net/?f=%20R%20%3D%20r%5E2%20%3D%20%28-0.39%29%5E2%20%3D0.1521)
And rounded to the nearest tenth thousand would be 0.1521
Step-by-step explanation:
The correlation coefficient is a measure of variability and is given by this formula:
![r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5Bn%5Csum%20x%5E2%20-%28%5Csum%20x%29%5E2%5D%5Bn%5Csum%20y%5E2%20-%28%5Csum%20y%29%5E2%5D%7D%7D)
For this case we have
![r = -0.39](https://tex.z-dn.net/?f=%20r%20%3D%20-0.39)
And the determination coeffcient is just the correlation coeffcient square and we got:
![R = r^2 = (-0.39)^2 =0.1521](https://tex.z-dn.net/?f=%20R%20%3D%20r%5E2%20%3D%20%28-0.39%29%5E2%20%3D0.1521)
And rounded to the nearest tenth thousand would be 0.1521