Wingspans of adult herons have approximate normal distribution with mean 125 cm and standard
deviation 12 cm. what proportion of herons have wingspan of exactly 140 cm?

0.1056

Step-by-step explanation:

Given from the question;

Mean=125cm

Standard deviation =12cm

You should find the z* value from  mean and standard deviation

The formula to apply is;

z=(wingspan in question - mean)÷standard deviation

Using the Z score table read the value of proportion that corresponds to 1.25

From the table, the proportion is 0.1056

2.

according to newton’s cannonball model, what happens if the cannonball's velocity is enough to overpower the pull of earth’s gravitystep-by-step explanation:

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.