A first step towards identifying spam is to create a list of words that are more likely to appear in spam than in normal messages. Suppose a specified list of words is available and that your data base of 5000 messages contains 1500 that are spam. Among the spam messages, 1286 contain words in the list. Of the 3500 normal messages, only 247 contain words in the list. What is the probability that a message is spam given that the message contains words in the list.

step-by-step explanation:

answer: '

the distance between points l and m

step-by-step explanation:

step-by-step explanation:

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.