Answer and Step-by-step explanation:
First of all lets define
X to be that the bags do contain large liquid amounts
+ to be that the test is not negative that is positive
From the question,
P(x) = 3/100 = 0.03
P(+|X) = 0.91
P(+|X′) = 0.05
Probability of bag having a positive test =p(+)
= P(+|X) (P(x)) + P(+|X′)(P(X′))
= P(X′)) = 1 – 0.03 = 0.97
Inserting these values into these formulas
0.91)(0,03) + (0.05)(0.97)
= 0.0273 + 0.0485
= 0.0758
The probability of the randomly selected bag having large liqid amount
= P(X|+) = (0.91*0.03)/(0.91*0.03)(0.05*0.97)
= 0.0273/0.0273+0.0485
= 0.0273/0.0758
= 0.3602
the probability that this bag does not have large liquid amount
= p(X'|+) = 1 - P(X|+)
= 1 - 0.3602
= 0.6398
The maximum height that the pendulum can reach will be 45 meters.
<h3>How to calculate the height?</h3>
It should be noted that the total energy at A should be equal to the total energy at B.
Therefore, this will be calculated thus:
1/2(14)² + 10(35) = 1/2(0)² + mgH
98 + 350 = 10H
448 = 10H
H = 448/10
H = 44.8 meters
H = 45 meters approximately
Learn mote about height on:
brainly.com/question/983412
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Answer:
5years
Step-by-step explanation:
Interest=Principal*Rate*Time/100 which is
I=P*R*T/100
- 1500=6000*5*T/100
- 1500=30000/100*T
- 1500=300T
- 1500/300=T
- 5=T
Therefore T which is Time=5 years.
HOPE THIS HELPS
Answer:
FUNCTIONNNNN
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
Q = 
{the smallest common multiple of 10, 4 and 5 is 5×2×2 = 20 (denominator)}
Q =
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