The correct answer is: [A]: "1" .
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There is one (1) solution to the equation given:
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√x = 7 .
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The solution is: x = 49.
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Answer:
E(X) = 6
Var(X) = 3.394
Step-by-step explanation:
Let X represent the number of carp caught out of the 20 fishes caught. Now, if we are to assume that each
of the (100, 20) ways to catch the 20 fishes will be equally likely.
Thus, we can say that X fulfills a hypergeometric
distribution with parameters as follows;
n = 20, N = 100, k = 30
Formula for expected mean value in hypergeometric distribution is;
E(X) = nk/N
E(X) = (20 × 30)/100
E(X) = 6
Formula for variance is;
Var(X) = (nk/N) × [((n - 1)(k - 1)/(N-1))) + (1 - nk/N)]
Var(X) = ((20 × 30)/100) × [((20 - 1)(30 - 1)/(100 - 1)) + (1 - (20 × 30/100)]
Var(X) = 6 × 0.5657
Var(X) = 3.394
Umm I would say that you do 0.5*0.5
so a 25% chance? Tell me if you think this is right or not, because if it's wrong I can try to help you again
Hope this helps :)
I'm guessing we have
S1 = 1000
S2 = 1000 + 500
S3 = 1000 + 500 + 250
S4 = 1000 + 500 + 250 + 125
S5 = 1000 + 500 + 250 + 125 + 62.5
Just adding that up, S5 is
Answer: 1937.5
Do they want you to use the geometric series formula? We'll check it that way.
We have first term a=1000 and common ratio r=1/2. In general
For us that's
S5 = (1000 (1 - (1/2)^5))/(1 - 1/2) = 2000(1 - 1/32)
= 2000(31)/32 = 62000/32 = 1937.5 √
Math works!