Show that the following data are inconsistent: ‘of a group of 50 students, 23 take mathematics, 14 take chemistry and 17 take physics. 5 take mathematics and physics, 3 take mathematics and chemistry and 7 take chemistry and physics. twelve students take none of mathematics, chemistry and physics’. [hint: see the last example of the section.]

The following data are inconsistent because the number of students that offer the three subject gives us a negative value. X= -4. Which shouldn't be. Therefore the data are inconsistent.

Step-by-step explanation:

See attached picture for explanations.

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.

57.09 minus 7.0435 equals

step-by-step explanation:

just subtrach them both and u get the answer of 50.0465