The answer is 3. Divide 5375 by 4 to get 1343.75. Remainder for each friend is .75, so multiply .75 by 4. 3 cards left over.
Answer:
The correct choice is A.
Step-by-step explanation:
The relation which is a function is the one in which none of the first coordinates repeated.
A.
x y
4 -2
5 -3
6 -2
7 -3
We can see that none of the first coordinates repeated in this relation.
Its graph will pass the vertical line test.
It is a function.
4x = -60 - 19y
-7x = -48 - 19y
Subtract the bottom equation from the top:
4x + 7x = -60 + 48 - 19y + 19y
Simplify:
11x = -12 -0y
11x = -12
Divide both sides by 11:
11x/11 = -12/11
Simplify:
x = -12/11
Then plug in x to solve for y:
4(-12/11) = -60 - 19y
Simplify:
-48/11 = -60 - 19y
Add 60 to both sides (keep in mind 60 = 660/11):
-48/11 + 660/11 = -60 + 60 - 19y
Simplify:
612/11 = 0 - 19y
612/11 = -19y
Divide both sides by -19 (keep in mind that dividing by -19 is the same as multiplying by -1/19):
612/11 • -1/19 = -19y/-19
Simplify:
-612/209 = y
y = -612/209
So, the answer is: (-12/11, -612/209)
Answer: a. 7
Step-by-step explanation: <u>Degrees</u> <u>of</u> <u>Freedom</u> is the number of values "allowed" to vary. For example:
In the experiment above, the sample has 8 tobacco leaves. Two strains will be applied to each leaf. The decision of which strain goes to the right or left is random. Each strain have 7 possible leaves it can be applied, because, for the last, the eight leaf, there is no choice.
Therefore, the degrees of freedom for this experiment is 7.
It can also be calculated as
df = n - 1
df = 8 - 1
df = 7