Answer:
Step-by-step explanation:
If we have a linear function of the form 
,
- Vertical translation of c units up means:
f(x) = ax - b + c
- Vertical translation of d units down means:
f(x) = ax - b - d
- Horizontal translation of c units right means:
f(x) = a(x-c) - b
- Horizontal translation of d units left means:
f(x) = a(x+d) - b
These are the horizontal/vertical translation rules. For the function shown, we apply the first rule and it becomes:
This would be the new equation of the translated function.
If events A and B are independent,
For mutually exclusive then p(A or B) = p(A) + p(B).
For not mutually exclusive then p(A or B) = p(A) + p(B) - p(A and B)
And: p(A and B) = p(A) * p(B)
Given: <span>p(A) = 0.22 and p(B) = 0.24.
</span>
<span>∴ p(A and B) = p(A) * p(B) = 0.22*0.24 = 0.0528
</span>
If A and B are mutually exclusive
∴ p(A or B) = p(A) + p(B) = 0.22 + 0.24 = 0.46
If A and B are not mutually exclusive
∴ p(A or B) = p(A) + p(B) - p(A and B) = 0.22 + 0.24 - <span>0.0528 = 0.4072
</span>
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note: Two events are mutually exclusive if it is not possible for both of them to occur, which mean the occurrence of one event "excludes" the possibility of the other event.
Answer:
As far down/low as you can go.
Step-by-step explanation:
Usually used with upper and lower bounds it means that the "greatest decrease" you can go is 4.5 for example.
If that is what you meant then hope this helps :)
Answer:
35/128 ≈ 0.2374
Step-by-step explanation:
The number of combinations of 7 things taken 3 at a time is ...
7·6·5/(3·2·1) = 7·5 = 35
The number of sequences in which the coins can land is 2^7 = 128.
Of those 128 sequences, 35 will have exactly 3 heads.
The probability is 35/128.
