Answer:
60 students passed, and 75 appeared in examination.
Step-by-step explanation:
Let's say s is the total number of students and p is the number of students who passed.
80% of the students passed, so:
0.8 s = p
If there were 10 less passers, and 15 less students (5 less failures), then the ratio of passers to failures would be 5/1.
(p − 10) / (s − p − 5) = 5 / 1
Simplify the second equation:
p − 10 = 5 (s − p − 5)
p − 10 = 5s − 5p − 25
6p = 5s − 15
Substitute the first equation.
6 (0.8 s) = 5s − 15
4.8 s = 5s − 15
0.2 s = 15
s = 75
p = 0.8 s
p = 60
60 students passed, and 75 appeared in examination.
V = Bh ⇒
h = V/B = 1122 / 93.5 = 12 inches.
The question is incomplete. Below you will find the missing contents.
The correct match of events with order are,
- P(A)P(B|A) - Dependent event
- P(A)+P(B) - Mutually exclusive events
- P(A and B)/P(A) - Conditional events
- P(A) . P(B) - Independent Events
- P(A)+P(B) -P(A and B) - not Mutually exclusive events.
When two events A and B are independent then,
P(A and B)=P(A).P(B)
when A and B are dependent events then,
P(A and B) = P(A) . P(B|A)
When two events A and B are mutually exclusive events then,
P(A and B)=0
So, P(A or B) = P(A) + P(B) - P(A and B) = P(A) + P(B)
P(A) + P(B) = P(A or B)
When events are not mutually exclusive then the general relation is,
P(A or B) = P(A) + P(B) - P(A and B)
If the probability of the event B conditioned by A is given by,

Hence the correct match are -
Dependent event
Mutually exclusive events
Conditional events
Independent Events
not Mutually exclusive events.
Learn more about Probability of Events here -
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Answer:
7x(5-4y)
Step-by-step explanation:
35x-28xy
7x(5-4y)
Answer:
0.1
Step-by-step explanation:
Solving using empirical rule formula
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
Hence, the lower bound 95% =
μ - 2σ
Mean = 0.2
Standard deviation of 0.05
= μ - 2σ
= 0.2 - 2(0.05)
= 0.2 - 0.1
= 0.1
The lower bound is 0.1