$129.6
you do 100 times .08 and get 8 so 100 + 8 = 108
then you do 108 times .20 and get 21.6 so 108 + 21.6 = 129.6
Answer:
0.903264
Step-by-step explanation:
Given that a TV set contains five circuit boards of type A, five of type B, and four of type C. The probability of failing in its first 5000 hours of use is 0.03 for a type A circuit board, 0.04 for a type B circuit board, and 0.03 for a type C circuit board.
Let A' = the event that A fails, B' = B fails and C'= C fails.
Probability that no circuit board fails = Prob (A'B'C')
= P(A')P(B')P(C') (since A,B, C are independent, their complements are independent
= (1-0.03)(1-0.04)(1-0.03)
= 0.903264
Option C:
is the right answer
Step-by-step explanation:
Given formula for volume of a sphere is:
![V = \frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
We have to make r the subject of the formula
Multiplying equation by 3/4
![\frac{3}{4}V = \frac{4}{3} * \frac{3}{4} \pi r^3\\\frac{3}{4}V = \pi r^3](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7DV%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%2A%20%5Cfrac%7B3%7D%7B4%7D%20%5Cpi%20r%5E3%5C%5C%5Cfrac%7B3%7D%7B4%7DV%20%3D%20%5Cpi%20r%5E3)
Dividing both sides by pi
![\frac{3}{4\pi}V =\frac{ \pi r^3}{\pi}\\\frac{3V}{4\pi} = r^3](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%5Cpi%7DV%20%3D%5Cfrac%7B%20%5Cpi%20r%5E3%7D%7B%5Cpi%7D%5C%5C%5Cfrac%7B3V%7D%7B4%5Cpi%7D%20%3D%20r%5E3)
Taking cube root on both sides
![\sqrt[3]{\frac{3V}{4\pi} } = \sqrt[3]{r^3} \\ r = \sqrt[3]{\frac{3V}{4\pi} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%7D%20%7D%20%3D%20%5Csqrt%5B3%5D%7Br%5E3%7D%20%5C%5C%20r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%7D%20%7D)
Hence,
Option C:
is the right answer
Keywords: Volume, Sphere
Learn more about volume at:
#LearnwithBrainly
Y° = y₁° (opposite or Vertical angles), but y₁ = 45° corresponding angles,
then y = 45°
Circumference=24 pi
Area=144 pi, shown clearly in photo