What is the hypotenuse-angle theorem?

The hypotenuse angle theorem, also known as the HAtheorem, states that 'if the hypotenuse and an acuteangle of one right triangle are congruent to thehypotenuse and an acute angle of another right triangle, then the two triangles are congruent.'

Step-by-step explanation:

Given that a restaurant chef prepares a tossed salad containing, on average, 5 vegetables per day.

We can assume the number of vegetables used by the chef per day is

Poisson with parameter = mean = 5

We are to find the probability that the salad contains more than 7 vegetables on i) a given day and on ii)3 of the next 6 days?

a) P(no of vegetables >7) = 1-F(7) = 1-0.8666

=0.1334

b) For 6 days we can say each day is independent of the other

Prb( veg >3) for 6 days

= P(veg>3)^6