Y^2 + 4y - 32 = 0
y^2 - 4y + 8y - 32 = 0
y(y - 4) + 8(y - 4) = 0
(y + 8)(y - 4) = 0
y + 8 = 0 or y - 4 = 0
y = -8 or y = 4.
The probability of drawing a white marble followed by a yellow marble, without replacing the white marble is 0.091
<h3>How to determine the probability?</h3>
The distribution of the marbles is given as:
White = 3
Yellow = 4
Green = 5
Total = 12
The probability of selecting a white marble is:
P(White) = 3/12
Now, there are 11 marbles left.
The probability of selecting a yellow marble is:
P(Yellow) = 4/11
The required probability is:
P = 3/12 * 4/11
Evaluate
P = 0.091
Hence, the probability of drawing a white marble followed by a yellow marble, without replacing the white marble is 0.091
Read more about probability at:
brainly.com/question/251701
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<u>Answer:</u>
For n = 1, 150
for n = 2, 1164
<u>Step-by-step explanation:</u>
The answer for n = 1, is,

=![[2 \times \frac {x^{3}}{3} + x]_{0}^{6}](https://tex.z-dn.net/?f=%5B2%20%5Ctimes%20%5Cfrac%20%7Bx%5E%7B3%7D%7D%7B3%7D%20%2B%20x%5D_%7B0%7D%5E%7B6%7D)
=150
The answer for n = 2 is,

=![[2 \times \frac {x^{3}}{3} + x]_{0}^{12}](https://tex.z-dn.net/?f=%5B2%20%5Ctimes%20%5Cfrac%20%7Bx%5E%7B3%7D%7D%7B3%7D%20%2B%20x%5D_%7B0%7D%5E%7B12%7D)
= 1164
Answer:
8/20 and 12/30 are equivalent to 4/10.
Step-by-step explanation:
You just have to multiply the numerator and denominator by the same number.
Answer:
d=32!!!
Step-by-step explanation:
So first rewrite it as an equation: d/4+12=20
d/4+12=20 then subtract 12 from both sides to balance the equation
d/4=8 so multply both sides by 4 to isolate the variable, 4(d/4)=d =d and 8x4=32, so d=32