It is Given that f(x) = log₂ (x + 4), so the value of f(3) is log₂ (7) or 2.807.
<h3>What is a logarithm?</h3>
When you raise a number with an exponent, there comes a result.
Let's say you get
a^b = c
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
![b = \log_a(c)](https://tex.z-dn.net/?f=b%20%3D%20%5Clog_a%28c%29)
'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'
Given ;
f(x) = log₂ (x + 4)
we need to find f(3)
substitute x = 3 in f(x)
f(x) = log₂ (x + 4)
f(3) = log₂ (3 + 4)
f(3) = log₂ (7)
Hence, f(3) = 2.807
Learn more about logarithm here:
brainly.com/question/20835449
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Answer:
0.128 is the probability that the third hole drilled is the first to yield a productive well.
Step-by-step explanation:
We are given the following information in the question:
The probability that he is successful on a given trial is 0.2
p = 0.2
q = 1 - p = 0.8
We define the geometric probability as:
![P(X=x) = p(1-q)^{x-1}](https://tex.z-dn.net/?f=P%28X%3Dx%29%20%3D%20p%281-q%29%5E%7Bx-1%7D)
For this we have x = 3, putting the values we have:
![P(X=x) = p(1-q)^{x-1}\\P(x=3) = 0.2(0.8)^2 = 0.128 = 12.8\%](https://tex.z-dn.net/?f=P%28X%3Dx%29%20%3D%20p%281-q%29%5E%7Bx-1%7D%5C%5CP%28x%3D3%29%20%3D%200.2%280.8%29%5E2%20%3D%200.128%20%3D%2012.8%5C%25)
0.128 is the probability that the third hole drilled is the first to yield a productive well.
It is to shake and zoom in more
A plot where each data is split into a leaf usaully the last digit.