This problem has been solved! see the answerresearchers investigated the physiological changes that accompany laughter. ninety subjects (18-34 years old) watched film clips designed to evoke laughter. during the laughing period, the researchers measured the heart rate (beats perminute) of each subject, with the following summary results: overbarx=73.8 s=6. it is well known that the mean resting heart rate of adults is 71 beats per minute. complete parts a through d below. a. set up h0 and ha for testing whether the true mean heart rate during laughter exceeds 71 beats per minute. choose the correct answer below. a. h0: μ=71ha: μl< 71b. h0: μ≠71ha: μ=71c. h0: μ=71ha: μ> 71your answer is correct. d. h0: μ=71ha: μ≠71b. if α=0.05, find the rejection region for the test. choose the correct answer below. a .z< −1.96b. z> 1.96 or z< −1.96c. z> 1.645 or z< −1.645d. z> 1.645e. z> 1.96f. z< −1.645

translate k to n and reflect across the line containing jk.

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.

1332.

this is because to get from 333 to 999 you multiply by 3, and you should do the same to the number of hours.

therefore you would do 444*3=1332

option a is correct.

only one solution to the system of equations

step-by-step explanation:

if the graph of the equations do not intersects(i.,e if they are parallel) then, there are no solutions that are true for both the equations.

if the graph of the equations intersects, then there is one solution and that is true for both the equations.

since, in the given figure:

the two lines intersect each other

⇒there is only one solution which satisfy both the lines of an equations.

therefore, there is only one solution to the system of equation