Answer:
The answer is (-11,0) and (11,0) on edge
Step-by-step explanation!
Hope this helps everyone :)
Given a binomial distribution, the probability can be approximated using a normal distribution as follows:
μ = np = 350(0.04) = 14
![\sigma=\sqrt{np(1-p)} \\ \\ =\sqrt{350(0.04)(0.96)} \\ \\ =\sqrt{13.44}=3.666](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7Bnp%281-p%29%7D%20%5C%5C%20%20%5C%5C%20%3D%5Csqrt%7B350%280.04%29%280.96%29%7D%20%5C%5C%20%20%5C%5C%20%3D%5Csqrt%7B13.44%7D%3D3.666)
![P(x\geq15)=1-P(x\ \textless \ 15) \\ \\ =1-P\left(z\ \textless \ \frac{15-14}{3.666/\sqrt{350}} \right)=1-P\left(z\ \textless \ \frac{1}{0.196} \right) \\ \\ =1-P(5.1032)=1-1=0](https://tex.z-dn.net/?f=P%28x%5Cgeq15%29%3D1-P%28x%5C%20%5Ctextless%20%5C%2015%29%20%5C%5C%20%20%5C%5C%20%3D1-P%5Cleft%28z%5C%20%5Ctextless%20%5C%20%20%5Cfrac%7B15-14%7D%7B3.666%2F%5Csqrt%7B350%7D%7D%20%5Cright%29%3D1-P%5Cleft%28z%5C%20%5Ctextless%20%5C%20%20%5Cfrac%7B1%7D%7B0.196%7D%20%5Cright%29%20%5C%5C%20%20%5C%5C%20%3D1-P%285.1032%29%3D1-1%3D0)
Therefore, the <span>probability that there will not be enough vegan meals is 0.</span>
Hello,
![x^2+y^2-4x+22y+61=0\\\\ (x^2-4x+4) +(y^2+22y+121)-121-4+61=0\\\\ (x-2)^2+(y+11)^2=64 ](https://tex.z-dn.net/?f=x%5E2%2By%5E2-4x%2B22y%2B61%3D0%5C%5C%5C%5C%0A%28x%5E2-4x%2B4%29%20%2B%28y%5E2%2B22y%2B121%29-121-4%2B61%3D0%5C%5C%5C%5C%0A%28x-2%29%5E2%2B%28y%2B11%29%5E2%3D64%0A%0A%0A)
Center is (2,-11) and radius is 8
Answer:
The lowest ccommon denominator (or LCD) of 1/3 and 2/5 is 15.
Step-by-step explanation:
The lowest multiple of 3 and 5 is 3*5 = 15.
In terms with the LCD, 1/3 now equals 5/15; and 2/5 now equals 6/15.
Hope this helps :)
Answer:
y=7/3x+8
Step-by-step explanation:
You have to start at the 3and rise all the way to the 8 which is 7 and then run which is 3 so the slope mx is 7/3x. To find b which is the y intercept find the point where the line hits the y-axis.