During his 2001 mvp season for the seattle mariners, japanese sensation ichiro suzuki hit 192 singles, 34 doubles, 8 triples, and 8 home runs in a total of 692 at bats. the following table arranged these data terms of the number of bases for a hit, counting 0 bases for the times when he did not get a hit and 4 bases for home runs. number of bases: 0, 1, 2, 3, 4 number of times: 450, 192, 34, 8, 8 to the nearest thousandth, what was the e(x), the expected number of bases for ichiro suzuki in a typical at bat in 2001? a)0.457 b)0.538 c)0.441 d)0.350

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.

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15