30 POINTS !! Which dimensions can create only one unique triangle?

three angles measuring 75 degrees, 45 degrees, and 50 degrees

three sides measuring 14 m, 11 m, and 18 m

three angles measuring 40 degrees, 50 degrees, and 60 degrees

three sides measuring 3 cm, 4 cm, and 8 cm

What is the circumference of the circle? Use StartFraction 22 over 7 EndFraction for Pi.

A circle with radius 21 centimeters.

44 cm

66 cm

132 cm

154 cm

Figure FGHJ is shown below.

Figure F G H J has 4 sides. Sides F J and G H are congruent and parallel, and sides G F and H J are congruent and parallel. Angles G and J are 130 degrees.

Which names accurately describe figure FGHJ? Select two options.

parallelogram

quadrilateral

rectangle

rhombus

trapezoid

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?