The standardized probability of a normally distributed data is given by
P(X < x) = P(z < (x - mean) / standard deviation)
P(X > x) = 1 - P(X < x)
P(X > 125) = 1 - P(X < 125) = 1 - P(z < (125 - 100) / 15) = 1 - P(z < 25/15) = 1 - P(z < 1.667) = 1 - 0.95221 = 0.04779 = 4.8%
Though it cannot be said to be usual, at the same time it is not unusual because 125 is above the first standard deviation of the mean but below the second standard deviation of the mean.
If the 4th lies opposite the 11th, then you know the 3rd lies opposite the 10th, the 2nd opposite the 9th, and the 1st opposite the 8th; meanwhile, in the reverse direction you'd find that the 5th lies opposite the 12th, the 6th opposite the 13th, and the 7th opposite the 14th. Move up one more bead and you're back at the 1st, which you already know lies opposite the 8th. Therefore there are 14 total beads.
Answer:
Question 957121: By what percent will a fraction increase if its numerator is decreased by 30% and its denominator is decreased by 50%?
If the numerator is decreased by 30% and its denominator is decreased by 50% the new fraction becomes (0.7x/0.5y)=1.4(x/y)
The increase=(1.4-1)*100=0.4*100=40%
Step-by-step explanation:
Question # 2 Solution
Answer:
The truth table for the Boolean expression ¬a ∨ ¬b ↔ c is given below.
Step-by-step explanation:
As the given Boolean expression is
¬a ∨ ¬b ↔ c
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<em>Truth Table:</em>
a b c ¬a ¬b ¬a ∨ ¬b ¬a ∨ ¬b ↔ c
0 0 0 1 1 1 0
0 0 1 1 1 1 1
0 1 0 1 0 1 0
0 1 1 1 0 1 1
1 0 0 0 1 1 0
1 0 1 0 1 1 1
1 1 0 0 0 0 1
1 1 1 0 0 0 0
Question # 4 Solution
Answer:
The truth table to determine whether ¬(k ∧ L) = ¬k ∧ ¬L is given below.
Step-by-step explanation:
Lets construct the truth table to determine whether ¬(k ∧ L) = ¬k ∧ ¬L is true or not.
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<em>Truth Table:</em>
k L ¬k ¬L (k ∧ L) ¬(k ∧ L) ¬k ∧ ¬L
0 0 1 1 0 1 1
0 1 1 0 0 1 0
1 0 0 1 0 1 0
1 1 0 0 1 0 0
From the truth table, it is clear that ¬(k ∧ L) is not equal to ¬k ∧ ¬L
Therefore, ¬(k ∧ L) ≠ ¬k ∧ ¬L
<em>Keywords: truth table, logical reasoning</em>
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Answer:
d=11
Step-by-step explanation: