A Fire Safety Officer examined 120 schools, looking for faults in fire exit signs, fire extinguishers and fire alarm systems. He found 18 schools without proper fire exit signs, 24 schools with insufficient fire extinguishers and 15 schools with faulty fire alarm systems. 5 schools had exactly two faults, 4 schools had all the three faults, only one school had faults in fire extinguishers and the fire alarm system, and 8 schools had faults in the fire alarm systems only. Draw a clearly labelled Venn diagram to illustrate the given information. Hence, find the number of schools (a) without any of the three faults; (b) who had only insufficient fire extinguishers; (c) without proper fire exit signs only.

answer: it's a

step-by-step explanation:

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m

positive

step-by-step explanation:

the quadrant is facing upwards

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.