The sum of p consecutive integers is 4. What is p?

1 answer:

3 0

I'd say there are two possibilities: the trivial choice of p=1 and starting number 4 (so you're summing one consecutive integer starting from 4), or you choose p = 8 and start from -3, so that all numbers from -3 to 3 simplify and you're left with 4 alone:

$-3+(-2)+(-1)+0+1+2+3+4 = 4$

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Suppose you have 60 red marbles and 40 blue marbles in a

andrew-mc [135]

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,

$n(S)=^{100}C_{10}=\dfrac{100!}{10!(100-10)!}=\dfrac{100!}{10!90!}=17310309456440,\\\\\\n(E)=^{60}C_6\times^{40}C_4=\dfrac{60!}{6!54!}\times\dfrac{40!}{4!36!}=50063860\times91390.$