Answer:
20
Step-by-step explanation:
Side of the square = hypotenuse of triangle = √(4² + 2²)=√(16 + 4)=√(20)
Area of a square = (side)² = (√20)² = 20 units²
Answer:
The probability is;
0.0000003645
Step-by-step explanation:
The probability of packages being early p is 90% = 0.9
The probability of packages being late q will be 1-p = 1-0.9 = 0.1
So the probability of 2 out of 10 random late will be subject to Bernoulli approximation of the Binomial theorem
That will be;
P(X = 2) = 10 C 2 0.9^2 0.1^8
= 0.0000003645
Someone can steal the food lol
Answer:
51
Step-by-step explanation:
67 minus 16 equals 51
Answer:
sum(2^(n+1), for n=1 to 6)
Step-by-step explanation:
To answer this question, you need to know two things:
- what is an expression for the n-th term
- how many terms are there
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The series shown is a geometric series with first term 4 and common ratio 8/4 = 2. The generic form of the n-th term is ...
an = a1×r^(n-1) . . . . first term a1, common ratio r
You can use this form directly in your summation expression, or you can simplify it a bit.
an = 4×2^(n-1) = (2^2)(2^(n-1)) = 2^(n-1+2)
an = 2^(n+1)
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The value 128 is 2^7, so n+1 = 7, or n=6 for that term
Your summation expression could be ...

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<em>Additional comment</em>
The n-th term can also be written as 2×2^n.