Answer:
0.5 (8x+15)?
Step-by-step explanation:
i really hope this helps-
not the greatest at math ._.
Answer:
There is a 13.40% probability that a message is spam, given that it contains the word "text" (or "txt").
Step-by-step explanation:
The problem states that
There are 5574 messages.
There are 747 messages that are spam.
Every message contains the word text.
Bayes rule:
What is the probability of B, given that A?
![P(A/B) = \frac{P(A \cap B)}{P(A)}](https://tex.z-dn.net/?f=P%28A%2FB%29%20%3D%20%5Cfrac%7BP%28A%20%5Ccap%20B%29%7D%7BP%28A%29%7D)
In this problem, we have that
A is containing the word text. So ![P(A) = 1](https://tex.z-dn.net/?f=P%28A%29%20%3D%201)
So
![P(A/B) = \frac{P(A \cap B)}{P(A)} = P(A \cap B)](https://tex.z-dn.net/?f=P%28A%2FB%29%20%3D%20%5Cfrac%7BP%28A%20%5Ccap%20B%29%7D%7BP%28A%29%7D%20%3D%20P%28A%20%5Ccap%20B%29)
is containing the word text and being a spam message. So:
![P(A \cap B) = \frac{747}{5574} = 0.1340](https://tex.z-dn.net/?f=P%28A%20%5Ccap%20B%29%20%3D%20%5Cfrac%7B747%7D%7B5574%7D%20%3D%200.1340)
There is a 13.40% probability that a message is spam, given that it contains the word "text" (or "txt").
Answer:
Joe's wife must drive at a rate of 45km/hour.
Step-by-step explanation:
We are given that Joe leaves home and bikes at a speed of 30km/hour. Joe's wife leaves home five minutes later by car, and we want to determine her speed in order for her to catch up to Joe in 10 minutes.
Since Joe bikes at a speed of 30km/hour, he bikes at the equivalent rate of 0.5km/min.
Then after five minutes, when his wife leaves, Joe is 5(0.5) or 2.5 km from the house. He will still be traveling at a rate of 0.5km/min, so his distance from the house can be given by:
![2.5+0.5t](https://tex.z-dn.net/?f=2.5%2B0.5t)
Where <em>t</em> represents the time in minutes after his wife left the house.
And since we want to catch up in 10 minutes, Joe's distance from the house 10 minutes after his wife left will be:
![2.5+0.5(10)=7.5\text{ km}](https://tex.z-dn.net/?f=2.5%2B0.5%2810%29%3D7.5%5Ctext%7B%20km%7D)
Let <em>s</em> represent the wife's speed in km/min. So, her speed times 10 minutes must total 7.5 km:
![10s=7.5](https://tex.z-dn.net/?f=10s%3D7.5)
Solve for <em>s: </em>
<em />
<em />
Thus, Joe's wife must drive at a rate of 0.75km/min, or 45km/hour.
Answer:
Step-by-step explanation:
Maria had a test with 20 questions
if 17 are correct,
20 questions................................100%
17 questions................................?%
she was 85% right
Putting all the heights in order we get:
149.25
149.5
150.75
152.0
Bradley is the tallest, so he is 152.0
Josh is the shortest, so he is 149.25
Calvin is taller than josh, but shorter than mark,
So Calvin is 149.5, making Mark 150.75cm