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PtichkaEL [24]
2 years ago
13

If a and b are equally likely events and we require that the probability of their intersection be at least .98, what is p(

Mathematics
1 answer:
kifflom [539]2 years ago
3 0

If A and B are equally likely events such that the probability of their intersection be at least 0.98, than we can find P(A) as follows;

We know by DeMorgan's law we have,

\\
P(A\cap B)=1-P(\overline{A\cap B})\\
= 1-P(\overline{A}\cap \overline{B})\\
\text{Since,} P(\overline{A}\cap \overline{B})\leq P(\overline{A})+P(\overline{B}), P(A\cap B)\geq 1-P(\overline{A})-P(\overline{B})\\
\text{we know that,}P(\overline{A})=P(\overline{B})\text{, than we have;}\\
P(A\cap B)\geq 1-2P(\overline{A})\geq 0.98\\
\Rightarrow P(A)\geq 0.99

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3 years ago
Solve 7x+3y=8 and 4x-y=-9 simultaneously
Jobisdone [24]

Answer: x = -1 and y = 5

Step-by-step explanation:

7x + 3y = 8 ........................... equation 1

4x - y = - 9 ............................ equation 2

Solving the simultaneous linear equation by substitution method , make y the subject of the formula from equation 2 , we have

y = 4x + 9 ............................. equation 3

substitute y = 4x + 9 into equation 1 , we have;

7x + 3 ( 4x + 9 ) = 8

7x + 12x + 27 = 8

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subtract 27 from both sides

19x = -19

divide through by 19

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substitute x = -1 into equation 3 , we have

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y = -4 + 9

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Therefore :

x = -1 and y = 5

5 0
3 years ago
Which system of equations could be graphed to solve the equation below? log Subscript 0.5 Baseline x = log Subscript 3 Baseline
mariarad [96]

Answer:

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3 0
3 years ago
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3 years ago
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t^2 = 2 y / a

t = sqrt (2y / a)

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t = sqrt [2 * 23 / 9.8]

t = 2.17 s

 

Therefore the jump last only about 2.17 seconds.

6 0
3 years ago
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