Answer:
0.0016283
Step-by-step explanation:
Given that:
Proportion of defective bulbs, p = 30% = 0.3
Sample size, n = 19 bulbs
Probability that the lot will pass inspection :
P(none of the 19 is defective) Or P(only one of the 19 is defective)
P(none of the 19 is defective) = (1 - p) ^n = (1 - 0.3)^19 ; 0.7^19
0.7^19 = 0.0011398
P(only one of the 19 is defective) :
P(1 defective) * P(18 not defective )
(0.3) * (1 - 0.3)^18
0.3 * 0.7^18
0.3 * 0.001628413597910449 = 0.0004885
Hence,
P(none of the 19 is defective) + P(only one of the 19 is defective)
0.0011398 + 0.0004885) = 0.0016283
When we speak of the word "perimeter" of a circle, we mean to say the circumference. Since we are only given a semicircle, the perimeter would be,
perimeter = (pi)(radius) + diameter
Substituting the known values,
perimeter = (3.14)(6 cm) + 12 cm
The value of the perimeter is,
perimeter = 30.84 cm
Answer:
Part 1:
Angle DCB is a right angle.
So, angle DCA + angle ACB = 90
Angle ACB = 90 - angle DCA = 90-50=40
Answer is option C. 40
===========================
Part 2:
Angle DCB is a right angle.
So, angle DCA + angle ACB = 90
Angle ACB = 90 - angle DCA = 90-60=30
Answer is option B. 30
