The number/answer to this question is 33 because it is in pattern 3+2=5. 5+4=9. 9+6=15. 15+8=23. 23+10=33
Answer:
Table B
Step-by-step explanation:
The table represents a linear function if the ratio of change in y (∆y) to change in x (∆x) is a constant.
A — first two points: ∆y/∆x = (1-2)/(3-0) = -1/3
second two points: ∆y/∆x = (6-1)/(4-3) = 5 ≠ -1/3
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B — first two points: ∆y/∆x = (2-(-3))/(4-(-1)) = 5/5 = 1
second two points: ∆y/∆x = (4-2)/(6-4) = 2/2 = 1, the same as for the first points. This is the table that answers the question.
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C — first two points: ∆y/∆x = (0-(-2))/(0-(-3)) = 2/3
second two points: ∆y/∆x = (4-0)/(2-0) = 4/2 = 2 ≠ 2/3
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D — first two points: ∆y/∆x = (-2-(-7))/(0-5) = 5/-5 = -1
second two points: ∆y/∆x = (2-(-2))/(2-0) = 4/2 = 2 ≠ -1
(a)
The binomial distribution can be used because the current situation satisfies all of the following:
1. The probability of success (p=85%) is known and remains constant during the whole experiment
2. The number of trials (n=40) is known and constant.
3. Each trial is a bernoulli trial (success or failure only)
4. All trials are (assumed) independent of each other.
The probability of x successes is therefore
P(X=x)=C(n,x)(p^x)(1-p)^(n-x)
(b) P(X=35) means the probability of 35 successes out of 40 trials at p=0.85
and
P(X=35)=C(40,35)*0.85^35*0.15^5=658008*0.003386*0.00007594
=0.16918
(c) P(X>=35)=∑ P(X=i) for i=35 to 40
=0.16918+0.13315+0.08157+0.03649+0.01060+0.00150
=0.4325
(d) P(X<20)=∑ P(X=i) for i=0 to 19
=0.00000003513 (individual probabilities are very small).
Answer:
0.33
Step-by-step explanation:
We can think of this in tems of a venn diagram.
We have a rectangle, which represents the probabilities combined, which is 1.
Then we have two interlocking circles, the first representing the probability the yankees win, the second representing the probability the yankes score 5 or more runs, and the overlap representing the probability of both.
Therefore, the probability of losing and scoring less than 5 runs must be the area outside the circles but inside the rectangle.
The union of 'winning' and 'scoring 5 or more runs' is equal to the sum of the probability of either, minus the probability of both, which is 0.48+0.57-0.38 = 0.67.
Therefore the probability neither happen is 1-0.67 = 0.33
If it was EACH cat they had 1.25 cups otherwise they all shared the 1/4 cup offered.
