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Sever21 [200]
3 years ago
7

Solve for x: x²−9=5(x−3).

Mathematics
1 answer:
IceJOKER [234]3 years ago
3 0

Answer:

Step-by-step explanation:

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Which values are equivalent to the fraction below? 6^7/6^5
Helen [10]

Answer:

36

Step-by-step explanation:

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4 0
3 years ago
consider a sequence of independent tosses of a biased coin at times k=0,1,2,…,n. On each toss, the probability of Heads is p, an
omeli [17]

Answer:

1. p*(1-p)

2. n*p*(1-p)

3. p*(1-p)

4. 0

5. p^2*(1-p)^2

6. 57/64

Step-by-step explanation:

1. Let Ik denote the reward (possibly 0) given at time k, for k∈{1,2,…,n}. Find E[Ik].

E[Ik]=  p*(1-p)

2. Using the answer to part 1, find E[R].

E[R]=  n*p*(1-p)

The variance calculation is more involved because the random variables I1,I2,…,In are not independent. We begin by computing the following values.

3. If k∈{1,2,…,n}, then

E[I2k]= p*(1-p)  

4. If k∈{1,2,…,n−1}, then

E[IkIk+1]=  0

5. If k≥1, ℓ≥2, and k+ℓ≤n, then

E[IkIk+ℓ]=  p^2*(1-p)^2

6. Using the results above, calculate the numerical value of var(R) assuming that p=3/4, n=10.

var(R)= 57/64

5 0
3 years ago
It takes a ball an average of 0.09 seconds to knock down 4 dominoes, how long will it take to knock down 8 dominoes?
Elina [12.6K]
Answer: 0.18 seconds
step by step explanation: if it takes 0.09 seconds to knock down 4 dominoes, and you are trying to find out how long it will take to knock down 8 dominoes, you can see that 8/4=2, so you need to multiply 0.09 times 2 to get your answer, which is 0.18 seconds.
4 0
3 years ago
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