IQ test scores are normally distributed with a mean of 100 and a standard deviation of 12. An individual's IQ score is found to be 127. Find the z-score corresponding to this value.

The z-score corresponding to this value is 2.25

Step-by-step explanation:

In this question, we are asked to calculate the z-score of an IQ test.

To do this, what we need to do is to use the z-score formula

It’s mathematical form is written as follows:

Z-score = (x-mean)/s.d

Where x is the value in question which is 127 in this case

Mean is the arithmetic mean or average which is 100 in this case

S.d is standard deviation which is 12 in this case. We substitute these values into the equation.

Z-score= (127-100)/12 = 27/12 = 9/4 = 2.25

The z-score in this case is 2.25

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.

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