Because you have two variables and only one equation, you can only solve for approximate answers, and not complete, absolute answers.
<h3><u>You can simplify this equation to x = -4y + 12</u></h3>
y - 3 = -1/4(x + 3)
Distributive property.
y - 3 = -1/4x - 3/4
Multiply all terms by 4.
4y - 12 = -x
Multiply all terms by -1
-4y + 12 = x
Answer:
53.57%
Step-by-step explanation:
We have to calculate first the specific number of events that interest us, if at least 3 are girls, they mean that 2 are boys, therefore we must find the combinations of 3 girls of 5 and 2 boys of 3, and multiply that, so :
# of ways to succeed = 5C3 * 3C2 = 5! / (3! * (5-3)!) * 3! / (2! * (3-2)!)
= 10 * 3 = 30
That is, there are 30 favorable cases, now we must calculate the total number of options, which would be the combination of 5 people from the group of 8.
# of random groups of 5 = 8C5 = 8! / (5! * (8-5)!) = 56
That is to say, in total there are 56 ways, the probability would be the quotient of these two numbers like this:
P (3 girls and 2 boys) = 30/56 = 0.5357
Which means that the probability is 53.57%
Answer:
1
m = ---
12
Step-by-step explanation:
The formula is y2-y1
---------
x2-x1
(x1,y1) (x2,y2)
(3,-5) (-9,-6)
You get the 2 Y's and subtract them
Do the same with the X's
Y's above , X's below
(y2- y1)
⬇
-6-(-5) -1 1
--------- = ---- = ---- = m
-9-(3) -12 12
⬆
(×2- x1)
This equation is backwards, thats why it was harder to understand. (-9,-6) is farther left and below point (3,-5), making it the REAL first point in the equation.
Since both terms are perfect squares, factor using the difference of squares formula, a^
2 − b
^2 = (
a + b) (
a
−
b
) where a = t
^2 and b = 4
.
Answer: (
t^
2 + 4
) ( t + 2
) ( t − 2
)
Need help with more answers? Just ask me and I'll be more than happy to assist you
Hope this helps! ☆
