C is your answer.
It contains the proper points and form. A is not in point-slope form and B has the incorrect slope.
Answer:
There is no slope
Step-by-step explanation:
If the x-coordinates are the same, then that means there's no slope and is a straight vertical line.
<span>x = Joe's age and </span><span>y = James's age
</span><span>Joe is 10 years older than James - equation - x = y + 10
</span><span>In 8 years twice Joe's age will equal three times James's age - equation -
2(x+8) = 3(y+8)
</span>
<span>2(x+8) = 3(y+8) </span>
<span>2(y + 10 +8) = 3(y+8) { substitute y + 10 for x </span>
<span>2(y + 18) = 3(y + 8) </span>
<span>2y + 36 = 3y + 24 </span>
<span>12 = y </span>
<span>Joe is 22 and James is 12.</span>
The correct answers are:
13 + 3 ÷ 3 = 1(13 + 3 ÷ 3)
13 + 3 ÷ 3 = 13 + 1
13 + 3 ÷ 3 = 13 + 3 ÷ 3 + 0
Let's look into them one by one:
13 + 3 ÷ 3 = 1(13 + 3 ÷ 3)
As anything multiplied by one will not have changes in value, this is correct.
13 + 3 ÷ 3 = 13+(3÷3) = 13 + 1
As 3÷3 is 1,this is also correct.
13 + 3 ÷ 3 = 13 + 3 ÷ 3 + 0
As anything plus zero will not have a chnage in value, this is correct.
The incorrect option:
13 + 3 ÷ 3 ≠ 16 ÷ 3
Unless there are brackets indicating addition has to be done first, devision comes before addition hence this is not correct.
Hope it helps!
Complete data:
f(x,y) x Y
0.2 50 80
0.3 30 50
0.5 40 60
Answer:
Expected values for x and Y
E(x) = 39, E(Y) = 61
Variance for x and Y
E(x^2) = 1570
E(Y^2) =3830
Step-by-step explanation:
The detailed explanations are contained in the file attached
