A machine makes catheters for use in heart tests. The machine is designed so that the mean diameter of the catheter it makes can change but the standard deviation can't. The population standard deviation is .05 mm. Right now the machine is supposed to be making catheters with a mean diameter of 2 mm. During production an inspector checks the diameter of catheters to see if the machine has slipped out of the adjustment. A random sample of 50 catheters is taken. If the mean diameter for the sample is 2.04 mm, does this indicate the machine has slipped out of adjustment and the population average diameter of the catheter is no longer 2mm. The best test to use in this situation is a

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft

6-3=3

3*3=9

9+12=21

21/3=7

7*8=56

56 is your answer