Answer:
b) 65.08
ii) 0.75
Step-by-step explanation:
x(Kg): 62 63 64 65 66 67 68
Frequency(f): 1 5 11 15 10 6 2
xf: 62 315 704 975 660 402 136
b) mean(X) = ∑xf/N = 3254/50 = 65.08
c) x - X : -3.08 -2.08 -1.08 -0.08 0.92 1.92 2.92
(x - X)²: 9.49 4.33 1.17 0.0064 0.85 3.69 8.53
ii) Standard deviation(S.D.): √(∑(x - X)²/N = √(28.0664)/50 = √0.5613
∴ S.D.= 0.75
The only one that gives 1024 is A.
Answer:
Bottom Right: Following CPCTC (Corresponding Parts of Congruent Triangles are Congruent), we can see that the corresponding parts are congruent (for example, UV ≅ XY, ∠W ≅ ∠T, etc.)
Bottom left: Again, CPCTC.
DE ≅ QP
∠E ≅ ∠Q
etc.
Not B), because, while BC ≅ GH, the angles are not all the same, which makes it non-congruent.
Not A), because while they both have right angles, the sides are not congruent (cannot be simplified to the same ratio).
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The given number which is 2A193A411 is written in Base 11. Base 11 number is also called undecimal system. The digits of Base 11 number are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. Since 10 is not accepted as a digit, then we have to substitute a variable which is A = 10. Hence, the digits of a Base 11 number are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and A.
Answer: 0.0081
Step-by-step explanation:
Let X be the number of rafts.
Given : The mean number of rafts floating :
rafts per day .
Then , for 7 days the number of rafts =
rafts per day .
The formula to calculate the Poisson distribution is given by :_

Now, the probability that they will have to wait more than a week is given by :-

Hence, the required probability : 0.0081