Answer:
75 square units
Step-by-step explanation:
(x+10)x=3x^2
x^2+10x=3x^2
10x=2x^2
5x=x^2
x=5
Plugging in 5 into either of the initial equations yields the answer.
Answer: 25/676
Step-by-step explanation:
Number of possible outcomes = 26
In other to win, one must draw must be either (A, E, I, O or U)
Therefore required drws to win = 5
First draw:
P(win) = Total required outcome / Total possible outcome
P(win) = 5/26
Second draw:
P(win) = Total required outcome / Total possible outcome
P(win) = 5/26
Therefore,
P(winning twice) = (5/26) × (5/26) = 25/676
The probability of getting a cookie with no more than 3 chips is 0.714.
<h3>What is probability?</h3>
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
Well-mixed cookie dough will produce cookies with a mean of 6 chocolate chips apiece.
Using poison ratio:

λ is the mean number of chocolate chips in a piece

P(X ≥ 5) = 1 - P(X < 5)
P(X ≥ 5) = 1 - P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)
![\rm P(X \geq 5) = 1-[\dfrac{6^0 e^{-6}}{0!}+\dfrac{6^1 e^{-6}}{1!}+\dfrac{6^2 e^{-6}}{2!}+\dfrac{6^3 e^{-6}}{3!}+\dfrac{6^4 e^{-6}}{4!}]](https://tex.z-dn.net/?f=%5Crm%20P%28X%20%5Cgeq%20%205%29%20%20%3D%20%201-%5B%5Cdfrac%7B6%5E0%20e%5E%7B-6%7D%7D%7B0%21%7D%2B%5Cdfrac%7B6%5E1%20e%5E%7B-6%7D%7D%7B1%21%7D%2B%5Cdfrac%7B6%5E2%20e%5E%7B-6%7D%7D%7B2%21%7D%2B%5Cdfrac%7B6%5E3%20e%5E%7B-6%7D%7D%7B3%21%7D%2B%5Cdfrac%7B6%5E4%20e%5E%7B-6%7D%7D%7B4%21%7D%5D)
After solving;
P(X ≥ 5) = 0.714
Thus, the probability of getting a cookie with no more than 3 chips is 0.714.
Learn more about the probability here:
brainly.com/question/11234923
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Answer:


Step-by-step explanation:
∵ 
∵ 
∵ 
∴ 
∵ 
∴ 
∴ 
Answer:
3 3/8
Step-by-step explanation:
Correct me if I'm wrong