Answer:
86
Step-by-step explanation:
-2bc=12-3ab
c=(3ab-12)/(2b)
Answer:
HA HA HA!!!
Step-by-step explanation:
I am sorry that you feel that way. Maby you should go listento music it help me when I was depresed. Not cristen music though. I love the meem.
First you do 3.5z-2.7z= .8z then you divide .8 with -6, which gives you -7.5 so z= -7.5
Answer:
a) P=0.3174
b) P=0.4232
c) P=0.2594
d) The shape of the hypergeometric, in this case, is like a binomial with mean np=1.
Step-by-step explanation:
The appropiate distribution to model this is the hypergeometric distribution:
![P(X=x)=\frac{\binom{s}{x}\binom{N-s}{M-x}}{\binom{N}{M}}=\frac{\binom{6}{x}\binom{54}{10-x}}{\binom{60}{10}}](https://tex.z-dn.net/?f=P%28X%3Dx%29%3D%5Cfrac%7B%5Cbinom%7Bs%7D%7Bx%7D%5Cbinom%7BN-s%7D%7BM-x%7D%7D%7B%5Cbinom%7BN%7D%7BM%7D%7D%3D%5Cfrac%7B%5Cbinom%7B6%7D%7Bx%7D%5Cbinom%7B54%7D%7B10-x%7D%7D%7B%5Cbinom%7B60%7D%7B10%7D%7D)
a) What is the probability that none of the questions are essay?
![P(X=0)=\frac{\binom{6}{0}\binom{54}{10-0}}{\binom{60}{10}}\\\\P(X=0)=\frac{1*(54!/(10!*44!)}{60!/(10!*50!)} =\frac{2.3931*10^{10}}{7.5394*10^{10}} = 0.3174](https://tex.z-dn.net/?f=P%28X%3D0%29%3D%5Cfrac%7B%5Cbinom%7B6%7D%7B0%7D%5Cbinom%7B54%7D%7B10-0%7D%7D%7B%5Cbinom%7B60%7D%7B10%7D%7D%5C%5C%5C%5CP%28X%3D0%29%3D%5Cfrac%7B1%2A%2854%21%2F%2810%21%2A44%21%29%7D%7B60%21%2F%2810%21%2A50%21%29%7D%20%3D%5Cfrac%7B2.3931%2A10%5E%7B10%7D%7D%7B7.5394%2A10%5E%7B10%7D%7D%20%3D%200.3174)
b) What is the probability that at least one is essay?
![P(X=1)=\frac{\binom{6}{1}\binom{54}{9}}{\binom{60}{10}}\\\\P(X=1)=\frac{6*(54!/(9!*43!)}{60!/(10!*50!)} =\frac{3.1908*10^{10}}{7.5394*10^{10}} =0.4232](https://tex.z-dn.net/?f=P%28X%3D1%29%3D%5Cfrac%7B%5Cbinom%7B6%7D%7B1%7D%5Cbinom%7B54%7D%7B9%7D%7D%7B%5Cbinom%7B60%7D%7B10%7D%7D%5C%5C%5C%5CP%28X%3D1%29%3D%5Cfrac%7B6%2A%2854%21%2F%289%21%2A43%21%29%7D%7B60%21%2F%2810%21%2A50%21%29%7D%20%3D%5Cfrac%7B3.1908%2A10%5E%7B10%7D%7D%7B7.5394%2A10%5E%7B10%7D%7D%20%3D0.4232)
c) What is the probability that two or more are essay?
![P(X\geq2)=1-(P(0)+P(1))=1-(0.3174+0.4232)=1-0.7406=0.2594](https://tex.z-dn.net/?f=P%28X%5Cgeq2%29%3D1-%28P%280%29%2BP%281%29%29%3D1-%280.3174%2B0.4232%29%3D1-0.7406%3D0.2594)