The probability of the success will be 0.3826.
<h3>What is binomial distribution?</h3>
Bernoulli's trials are those trials which end up randomly either on success (with probability p) or on failures (with probability 1- p = q (say))
The probability that out of n trials, there'd be x successes is given by
We have
n = 8
p = 0.1
q = 1 – 0.1 = 0.9
x = 1
Then we have
P(1) = ⁸C₁ x (0.1)¹ x (0.9)⁷
P(1) = 0.3826
Learn more about binomial distribution here:
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If the two diagonals are and , the are of the rhombus is
So, in your case, the area is
The other options are wrong because:
- option A doens't divide by 2, thus getting twice the area of the rhombus
- option B summed the diagonals instead of multiplying them
- option D took the difference of the diagonals.
Answer:
= 0
Step-by-step explanation:
Data provided in the question:
In(2x + 5) = In(x - 3)
we can rearrange the above equation as
⇒ In(2x + 5) - In(x - 3) = 0
now,
from the properties of natural log function, we know that
therefore,
we get
= 0
Hence,
Expression as the logarithm of a single quantity is = 0