The World Health Organization's (W. H.O.) recommended daily minimum of calories is 2600 per individual. The average number of calories ingested per capita per day for the US is approximately 2460 with a standard deviation of 500. If we take a random sample of 81 individuals from the US, what is the probability that the sample mean exceeds the W. H.O. minimum?

the probability that the sample mean exceeds the W.H.O. minimum =  0.0059

Step-by-step explanation:

Given -

The World Health Organization's (W.H.O.) recommended daily minimum of calories is 2600 per individual .

Mean = 2460

standard deviation = 500

Sample size ( n ) = 81

Let be the sample mean

standard deviation of sample mean = = = 55.55

the probability that the sample mean exceeds the W.H.O. minimum =

=

                     =

                     =

                     = 1 -.9941

                      = 0.0059

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.

a

step-by-step explanation: