C is the answer to the question.
The value of the x is 3.22 if the eˣ = 25 after taking the log both side and lne is 1.
<h3>What is a logarithm? </h3>
It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
![\rm a^b = c\\log_ac =b](https://tex.z-dn.net/?f=%5Crm%20a%5Eb%20%3D%20c%5C%5Clog_ac%20%3Db)
We have:
![\rm e^x = 25](https://tex.z-dn.net/?f=%5Crm%20e%5Ex%20%3D%2025)
Taking ln both side:
![\rm lne^x = ln25](https://tex.z-dn.net/?f=%5Crm%20lne%5Ex%20%3D%20ln25)
xlne = 3.218
x = 3.218 (lne = 1)
or
x = 3.22
Thus, the value of the x is 3.22 if the eˣ = 25 after taking the log both side and lne is 1.
Learn more about the Logarithm here:
brainly.com/question/163125
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Answer:
E(Y) = 1.666667
Step-by-step explanation:
By E(Y), we mean the expected value of Y. This is given as:
E(Y) =
,
Where F is the frequency.
As given:
The sample space (S) = {T,T,H}
And has a probability of:
H = 1/3
T = 2/3.
Frequency:
H = 1
T = 2.
Thus,
E(Y) = 1*(1/3) + 2*(2/3)
E(Y) = 1.666667.
Answer:
it is made of 1400ml of soda
Step-by-step explanation:
Answer:
The correct answer is "0.3410, 0.4990".
Step-by-step explanation:
Given values are:
![n=150](https://tex.z-dn.net/?f=n%3D150)
![p=\frac{63}{150}](https://tex.z-dn.net/?f=p%3D%5Cfrac%7B63%7D%7B150%7D)
![=0.42](https://tex.z-dn.net/?f=%3D0.42)
At 95% confidence interval,
C = 95%
z = 1.96
As we know,
⇒ ![E=z\sqrt{\frac{p(1-p)}{n} }](https://tex.z-dn.net/?f=E%3Dz%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%20%7D)
By substituting the values, we get
![=1.96\sqrt{\frac{0.42\times 0.58}{150} }](https://tex.z-dn.net/?f=%3D1.96%5Csqrt%7B%5Cfrac%7B0.42%5Ctimes%200.58%7D%7B150%7D%20%7D)
![=1.96\sqrt{\frac{0.2436}{150} }](https://tex.z-dn.net/?f=%3D1.96%5Csqrt%7B%5Cfrac%7B0.2436%7D%7B150%7D%20%7D)
![=0.0790](https://tex.z-dn.net/?f=%3D0.0790)
hence,
The confidence interval will be:
= ![p \pm E](https://tex.z-dn.net/?f=p%20%5Cpm%20E)
= ![0.42 \pm 0.079](https://tex.z-dn.net/?f=0.42%20%5Cpm%200.079)
= ![(0.3410,0.4990)](https://tex.z-dn.net/?f=%280.3410%2C0.4990%29)