<h3>
Answer: 24</h3>
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Explanation:
We have 3 slots, which I'll call slot 1, slot 2, slot 3.
- For slot 1, we have 4 choices to pick from
- Then slot 2 has 3 choices since we can't reuse a letter
- Finally, slot 3 has 2 choices. We count our way down each time we move to the next slot.
Once all the slots are accounted for, we multiply the values mentioned: 4*3*2 = 12*2 = 24.
There are 24 different three-letter "words" that can be formed where any letter selected cannot be reused.
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A slightly different approach:
Order matters because a "word" like BON is different from a "word" like BNO.
Since order matters, we'll use a permutation
We have n = 4 letters to pick from and r = 3 slots to fill.
Apply those values into the nPr permutation formula
We end up with the same result as before.
Step-by-step explanation:
let the ration be c
3x and 4x
Now
3x +4x=24
You have write a fraction from the figure.
In the numerator you have write the total of shaded boxes (in the second figure: 6) and in the denominator you have to write the total of boxes ( in the second figure: 10)
So the answer is 6/10 and this makes sense because this represents the same fraction from first fraction
Answer: the probability that a randomly selected value is greater than 161.9 is 0.977
Step-by-step explanation:
Since the distribution of values is normal, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = randomly selected values.
µ = mean value
σ = standard deviation
From the information given,
µ = 165.6
σ = 18.7
We want to find the probability that a randomly selected value is greater than 161.9.. It is expressed as
P(x > 161.9) = 1 - P(x ≤ 161.9)
For x = 161.9
z = (161.9 - 165.6)/18.7 = - 0.2
Looking at the normal distribution table, the probability corresponding to the z score is 0.023
P(x > 161.9) = 1 - 0.023 = 0.977
Answer:
C. 3 & -6
Step-by-step explanation:
x² + 3x -18 = 0
x² + 6x - 3x - 18 = 0
(x + 6)(x - 3) = 0