Answer: 31/4
Step-by-step explanation:
The 7 is basically the fraction has been 4/4 7 times, and the 3 means that after that we have 3 left over. So we do:
7×4=28
Then since we have 3 left over:
28+3=31
So the fraction would be 31/4
Answer: For each birdhouse built, the total cost increases by $3.50.
Step-by-step explanation:
Given: The total cost for Sophia to build b birdhouses is represented by the function ![f(b)=3.5b+24](https://tex.z-dn.net/?f=f%28b%29%3D3.5b%2B24)
We can see in the function 3.5 is multiplied to b, so when b increases , f(b) increases by 3.5.
![f(1)=3.5(1)+24=3.5+24=27.5](https://tex.z-dn.net/?f=f%281%29%3D3.5%281%29%2B24%3D3.5%2B24%3D27.5)
![f(2)=3.5(2)+24=7+24=31](https://tex.z-dn.net/?f=f%282%29%3D3.5%282%29%2B24%3D7%2B24%3D31)
![f(3)=3.5(3)+24=10.5+24=34.5](https://tex.z-dn.net/?f=f%283%29%3D3.5%283%29%2B24%3D10.5%2B24%3D34.5)
and ![f(2)-f(1)=f(3)-f(2)=3.5](https://tex.z-dn.net/?f=f%282%29-f%281%29%3Df%283%29-f%282%29%3D3.5)
Therefore, the value of 3.5 represents that for each birdhouse built, the total cost increases by $3.50.
Cool problem !
Two pages of a book that face each other are consecutive integers, and one of them is even and the other one is odd.
So let's look at half of 69.
That's 34.5.
So let's try page 34 and page 35.
That works !
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
The three geometric means between 3 and 512 are…
8, 32, 128
OR
-8, 32, -128