<h2>
Answer:</h2>
First, we will use elimination to solve for y.
![5x = -30 + 5y\\20y = 105 + 5x\\\\5x - 5y = -30\\-5x + 20y = 105\\\\15y = 75\\\\y = 5](https://tex.z-dn.net/?f=5x%20%3D%20-30%20%2B%205y%5C%5C20y%20%3D%20105%20%2B%205x%5C%5C%5C%5C5x%20-%205y%20%3D%20-30%5C%5C-5x%20%2B%2020y%20%3D%20105%5C%5C%5C%5C15y%20%3D%2075%5C%5C%5C%5Cy%20%3D%205)
Now, we will use what we got for y to solve for x.
![5x = -30 + 5(5)\\\\5x = -30 + 25\\\\5x = -5\\\\x = -1](https://tex.z-dn.net/?f=5x%20%3D%20-30%20%2B%205%285%29%5C%5C%5C%5C5x%20%3D%20-30%20%2B%2025%5C%5C%5C%5C5x%20%3D%20-5%5C%5C%5C%5Cx%20%3D%20-1)
Solution:
![(-1, 5)](https://tex.z-dn.net/?f=%28-1%2C%205%29)
The number of cruise passengers must there have been in 2017 is 26.7 million.
<h3>What is percentage?</h3>
The term "percentage" comes from the Latin phrase "per centum," meaning "by the hundred." Percentages represent fractions with a denominator of 100. In other terms, it is the relationship between portion and whole in which the value of the whole is always assumed to be 100.
Now according to the question;
Let x represent the total number for cruise passengers during 2017.
In 2018, a 6.7% rise in x results in 28.5 million cruise passengers.
So, 106.7 % of x = 28.5
![\begin{aligned}&\frac{106.7}{100} * x=28.5 \\&\frac{106.7 x}{100}=28.5\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%26%5Cfrac%7B106.7%7D%7B100%7D%20%2A%20x%3D28.5%20%5C%5C%26%5Cfrac%7B106.7%20x%7D%7B100%7D%3D28.5%5Cend%7Baligned%7D)
Multiplying both sides by 100;
![\begin{aligned}&\frac{106.7 x}{100} * 100=28.5 * 100 \\&106.7 x=2850\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%26%5Cfrac%7B106.7%20x%7D%7B100%7D%20%2A%20100%3D28.5%20%2A%20100%20%5C%5C%26106.7%20x%3D2850%5Cend%7Baligned%7D)
Dividing both sides by 106.7;
![\frac{106.7 x}{106.7}=\frac{2850}{106.7}](https://tex.z-dn.net/?f=%5Cfrac%7B106.7%20x%7D%7B106.7%7D%3D%5Cfrac%7B2850%7D%7B106.7%7D)
x = 26.7
Therefore, the number of cruise passengers in 2017 must have ranged from 26.7 million.
To know more about the percentage, here
brainly.com/question/24304697
#SPJ4
Answer:
The value is ![P (I | L ) = 0.63](https://tex.z-dn.net/?f=P%20%28I%20%7C%20%20L%20%20%29%20%20%3D%20%20%20%20%200.63)
The probability has increased
Step-by-step explanation:
From the question we are told that
The percentage that are from outside the country is ![P(O) = 0.70](https://tex.z-dn.net/?f=P%28O%29%20%3D%20%200.70)
The percentage that logs on everyday is ![P(L) = 0.60](https://tex.z-dn.net/?f=P%28L%29%20%3D%20%200.60)
The percentage that logs on everyday that are from the inside the country is ![P(L | I) = 0.80](https://tex.z-dn.net/?f=P%28L%20%20%7C%20%20I%29%20%3D%20%200.80)
Generally using Bayes' Rule the probability that a person is from the country given that he logs on the website every day is mathematically represented as
![P (I | L ) = \frac{P(I)* P(L|I)}{ P(O) *P(L|O) + P(I) *P(L|I) }](https://tex.z-dn.net/?f=P%20%28I%20%7C%20%20L%20%20%29%20%20%3D%20%20%5Cfrac%7BP%28I%29%2A%20P%28L%7CI%29%7D%7B%20P%28O%29%20%2AP%28L%7CO%29%20%2B%20P%28I%29%20%2AP%28L%7CI%29%20%7D)
Where
is the percentage that are from inside that country which is mathematically represented as
![P(I) = 1 - P(O)](https://tex.z-dn.net/?f=P%28I%29%20%3D%20%201%20-%20%20P%28O%29)
![P(I) = 1 - 0.70](https://tex.z-dn.net/?f=P%28I%29%20%3D%20%201%20-%20%200.70)
![P(I) = 0.30](https://tex.z-dn.net/?f=P%28I%29%20%3D%20%200.30)
And
is percentage that logs on everyday that are from the outside the country which is evaluated as
![P(L| O) = 1- P(L| I)](https://tex.z-dn.net/?f=P%28L%7C%20O%29%20%20%3D%20%201-%20%20P%28L%7C%20I%29)
![P(L| O) = 1- 0.80](https://tex.z-dn.net/?f=P%28L%7C%20O%29%20%20%3D%20%201-%20%200.80)
![P(L| O) = 0.20](https://tex.z-dn.net/?f=P%28L%7C%20O%29%20%20%3D%200.20)
![P (I | L ) = 0.63](https://tex.z-dn.net/?f=P%20%28I%20%7C%20%20L%20%20%29%20%20%3D%20%20%20%20%200.63)
Given that the percentage that are from inside that country is ![P(I) = 0.30](https://tex.z-dn.net/?f=P%28I%29%20%3D%20%200.30)
and that the probability that a person is from the country given that he logs on the website every day is ![P (I | L ) = 0.63](https://tex.z-dn.net/?f=P%20%28I%20%7C%20%20L%20%20%29%20%20%3D%20%20%20%20%200.63)
We see that the additional information increased the probability
Good morning, the answer should be "<", as of the number is bigger. (1 < 16)