Answer: The required probability is 0.26.
Step-by-step explanation: Given that there are 60 red marbles and 40 blue marbles in a box 10 marbles are picked without replacement.
We are to find the probability of selecting 6 red marbles.
Since the marbles are picked up without replacement, so it is a situation of combination.
Let S denote the sample space of the experiment of drawing 10 marbles and E denote the event that 6 marbles are red.
So,
![n(S)=^{100}C_{10}=\dfrac{100!}{10!(100-10)!}=\dfrac{100!}{10!90!}=17310309456440,\\\\\\n(E)=^{60}C_6\times^{40}C_4=\dfrac{60!}{6!54!}\times\dfrac{40!}{4!36!}=50063860\times91390.](https://tex.z-dn.net/?f=n%28S%29%3D%5E%7B100%7DC_%7B10%7D%3D%5Cdfrac%7B100%21%7D%7B10%21%28100-10%29%21%7D%3D%5Cdfrac%7B100%21%7D%7B10%2190%21%7D%3D17310309456440%2C%5C%5C%5C%5C%5C%5Cn%28E%29%3D%5E%7B60%7DC_6%5Ctimes%5E%7B40%7DC_4%3D%5Cdfrac%7B60%21%7D%7B6%2154%21%7D%5Ctimes%5Cdfrac%7B40%21%7D%7B4%2136%21%7D%3D50063860%5Ctimes91390.)
Therefore, the probability of event E is given by
![P(E)=\dfrac{n(E)}{n(S)}=\dfrac{50063860\times91390}{17310309456440}=0.26.](https://tex.z-dn.net/?f=P%28E%29%3D%5Cdfrac%7Bn%28E%29%7D%7Bn%28S%29%7D%3D%5Cdfrac%7B50063860%5Ctimes91390%7D%7B17310309456440%7D%3D0.26.)
Thus, the required probability is 0.26.
Answer:
Step-by-step explanation:
Answer:
A) on the y-axis
Step-by-step explanation:
A residual plot has the Residual Values on the vertical axis (y-axis); the horizontal axis (x-axis) displays the independent variable.
Answer:
7 - 2 / x = 4 + 10 / x
or , 7 - 4 = 10 / x + 2 / x
or , 3 = 12 / x
or , x = 12 / 3
Therefore , x = 4
340 and 0.034 because yo move two decimal points to the left
It would be 12 because 10 is less than 12 and 12 is less then 13