Find the indicated area under the curve of the standard normal distribution; then convert it to a percentage and fill in the blank. About % of the area is between z = − 2 and z = 2 (or within 2 standard deviations of the mean).

95.44%

Step-by-step explanation:

We can find the percentage of area lies within 2 standard deviations of mean by computing P(-2<Z<2).

So,

P(-2<Z<2)=P(-2<Z<0)+P(0<Z<2)

Using normal area table P(0<Z<2)=0.4472. So,

P(-2<Z<2)=0.4472+0.4772

P(-2<Z<2)=0.9544

Thus, the 95.44% of area lies within 2 standard deviations of mean.

step-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.