13.33 is the correct answer
We have been given a statement written by Galen which is
"If the sum of the digits in a number is divisible by 3, the original number is divisible by 3."
Now we need to select which statements are true regarding his work.
A: The hypothesis of the statement is "If the sum of the digits in a number is divisible by 3."
Answer:
TRUE
B: An equivalent statement is "If the sum of the digits in a number is divisible by 3, then the original number is divisible by 3."
Answer:
TRUE
C: The statement is not a conditional statement because it does not include both an "if" and a "then" clause.
Answer:
FALSE, I agree that it has not used the word "then" but meaning of the statement is in the form of if then clause.
D:The statement can be proven true or false.
Answer:
TRUE, As you can take some example of any random number to test that.
E:The conclusion of the statement is written before the hypothesis.
Answer:
FALSE.
Answer:
b. 2/5
Step-by-step explanation:
![\frac{8}{20} \frac{ \div 4}{ \div 4} = \frac{2}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B20%7D%20%20%5Cfrac%7B%20%5Cdiv%204%7D%7B%20%5Cdiv%204%7D%20%20%3D%20%5Cfrac%7B2%7D%7B5%7D%20)
Answer: Choice A, x=-4
Step-by-step explanation:
1. 9x−(3x+9)=2x−25
2. 9x-3x-9=2x-25
3. 6x-9=2x-25
4. 6x-9=2x-25
-2x -2x
5. 4x-9=-25
+9 +9
6. 4x=-16 (divide both sides by 4)
7. x=-4
Answer:
a) 4
Step-by-step explanation:
Take the equation:
x + 1483 = 2113.833
Solve for x:
x = 2113.833 - 1483
x = 630.833
To find df, take the equation:
![\frac{x}{y} = 210.2778](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%20%3D%20210.2778)
Where x = 630.833
![\frac{630.833}{y} = 210.2778](https://tex.z-dn.net/?f=%20%5Cfrac%7B630.833%7D%7By%7D%20%3D%20210.2778%20)
Solve for y:
![y = \frac{210.2778}{630.833}](https://tex.z-dn.net/?f=%20y%20%3D%20%5Cfrac%7B210.2778%7D%7B630.833%7D%20)
![y = 2.9999](https://tex.z-dn.net/?f=%20y%20%3D%202.9999%20)
y ≈ 3
Take number of treatments = k
Degrees of freedom, df, of numberof treatments = k - 1
Therefore,
Where df = 3, we have:
k - 1 = 3
Solve for k:
k = 3 + 1
k = 4
The number of treatment groups is 4