Answer:
Step-by-step explanation:
If a watch has fewer than three defects, then either 1.) It has no defects, 2.) it has exactly 1 defect, or 3.) it has exactly 2 defects.
1.) The probability that the watch has no defects is 
, because for every chime there is a probability of 
that there is no defect
2.) The probability that the watch has exactly 1 defect is 
times the number of ways you can choose 1 of 75 of the chimes to be defective, which is 
, so the probability that the watch has exactly 1 defect is 
.
3.) For the same reason as 2.), the probability that the watch has exactly two defects is 
Since 1.), 2.), and 3.) are mutually exclusive events, the probability of their union is simply the probability of each of them added together, which is
300,000+40,000+5,000+ and three hundred forty five thousand zero
Answer:
Step-by-step explanation:
(5^3/2)^-2/3 = 0.2 ⇒ E
(256^0.5)^1.25 = 32 ⇒ C
(81^1/6)^3/2 = 3 ⇒ F
(1024^0.03)^20 = 64 ⇒ D
(1000^4/7)^7/3 = 10,000 ⇒ B
(49^5/2)^0.2 = 7 ⇒ A
Step-by-step explanation:
* Lets explain how to solve the problem
- If we have base x to a power n and all to the power of m then we
multiply the two powers to be one power on the base
- [(x^n)^m] = x^(nm)
* Lets solve the problem
∵
∴ (5^3/2)^-2/3 = 0.2 ⇒ E
∵
∵ 256 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2^8
∴
∴ (256^0.5)^1.25 = 32 ⇒ C
∵
∵ 81 = 3 × 3 × 3 × 3 = 3^4
∴
∴ (81^1/6)^3/2 = 3 ⇒ F (answer F must be 3 not 0.333)
∵
∵ 1024 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2^10
∴
∴ (1024^0.03)^20 = 64 ⇒ D
∵
∵ 1000 = 10 × 10 × 10 = 10³
∴
∴ (1000^4/7)^7/3 = 10,000 ⇒ B
∵
∴ (49^5/2)^0.2 = 7 ⇒ A
4:6 is the ratio of the polyester cotton
