An air-conditioning repair technician claims to complete 67% of repairs in under an hour. A random sample of 31 repairs was chosen, and 22 of those were completed in under an hour. Let p hat = the proportion of the random sample that were completed in under an hour. The probability that 71% or more of this technician’s repairs were completed in under an hour is 0.317. Does this result provide convincing evidence against the technician’s claim?

Yes, it is expected that 22 of the units at most will be repaired in under an hour.
Yes, the probability of seeing the sample result is so far from what is expected that the probability of it occurring by chance alone is very unlikely.
No, there is a very small chance of seeing the sample result. It is unlikely to occur by chance alone.
No, the difference between the sample result and what is expected is not extreme enough. The probability of it occurring by chance alone is not unlikely.

plants store their excess carbohydrate in the form of starch so that it could be used as energy source later on. the excess carbohydrate is converted into starch in the plastid i.e. chloroplast & this process occurs in the presence of sunlight. it is an insoluble polymer of glucose which gets stored in cell organelles named as amyloplasts. in some plants, starch is also stored in roots and embryos.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is