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:
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Answer:
a=21
b=69
c=42
d=138
Step-by-step explanation:
c is supplementary to d (which is 138), so c=180-138= 42.
angle b is on the edge of the central angle 138, so b is 1/2, therefore, b=69.
angle a is complementary to angle b because any triangle that includes the diameter is a right angle, so angle a=90-69=21.
Answer:
A. 96
Step-by-step explanation:
In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
Answer:
x = 3
Step-by-step explanation:
7x - 9 + 3x = 2x + 18 - x
10x - 9 = x + 18
10x - x = 18 + 9
9x = 27
x = 3
