F. A restaurant chef prepares a tossed salad containing, on average, 5 vegetables per day. 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?

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

yes yes yes yes yes yes yes yes yes

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.