good lesson and good day ^-^
Answer:
The probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.
Step-by-step explanation:
The probability of a component passing the test is, P (S) = 0.79.
The probability that a component fails the test is, P (F) = 1 - 0.79 = 0.21.
Three components are sampled.
Compute the probability of the test result as SFS as follows:
P (SFS) = P (S) × P (F) × P (S)
Compute the probability of the test result as SSF as follows:
P (SSF) = P (S) × P (S) × P (F)
Thus, the probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.
Answer:
p = - 5
Step-by-step explanation:
–2.5p – 20 = 9p + 37.5
combine like terms:
- 2.5p - 9p = 37.5 + 20
simplify:
- 11.5p = 57.5
p = 57.5 / -11.5
p = - 5
Answer:
<u>The present age of the mother is 30 years old</u>
Step-by-step explanation:
Age of Jane = x
Age of Billy = 5x (Billy is five times as old as Jane)
Age of Sara = 15x (Their mother is now three times as old as Billy)
In 2 years Sara will be eight times as old as Jane, therefore:
15x + 2 = 8 (x + 2)
15x + 2 = 8x + 16
15x - 8x = 16 - 2
7x = 14
x = 14/7
x = 2 ⇒ 5x = 10x ⇒ 15x = 30
Jane's present age is 2, Billy's present age is 10 and Sara's present age is 30
<u>The present age of the mother is 30 years old</u>