The mean is 36 and the standard deviation is 5.02.
The mean is given by
μ = np = 120*0.3 = 36.
The standard deviation is given by
σ = √(n*p*(1-p)) = √(120*0.3*0.7) = √25.2 = 5.02.
__7_|_35+63_
_____|__9+5__
35+63=7(9+5)=7<span>14=98 or 35+63=98</span>
1) find the perfect square closest to the number
2) take that square root, and then divide your number by that number
3) take the average of the perfect square root (the whole number) and the result of dividing your original number by that root.
Example: Approximate square root of 27
Closest perfect square: 25
Square root: 5
27 ÷ 5 = 5.4
Average between 5 and 5.4 = 5.20
5.2² = 27.04. Fast and not a bad approximation!
Answer:
(2.4, -1.2)
Step-by-step explanation:
Start by moving the x and the y to the same side and moving the number across the equal sign in both equations. We should now have y-0.45x=-2.3 and 2y+4.2x=7.8. We can use the elimination method by multiplying the first equation by -2 to get -2y+0.9x=4.6 and 2y+4.2x=7.8. From there, add the two equations together, eliminating y (-2+2=0). We now have 5.1x=12.4; divide both sides by 5.1 to get x=2.4. Then, in any of the two equations, let's use y-0.45x=-2.3, substitute x with 2.4. Now we have y-1.08=-2.3. Add 1.08 to both sides to get y=-1.22; round that to the nearest tenth to get -1.2.
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Step-by-step explanation: