To find the inverse, interchange the variables and solve for y.

X- speed of the ship in still water
a- speed of current
(x+a)- speed with current
(x-a) - speed against current
(x+a)*3=72
(x-a)*4=72
x+a=24
<u>+ x-a=18
</u> 2x =42
x = 21
x+a=24, 21+a=24, a=3
The speed of the ship in still water = 21 km/h,
the speed of the current =3 km/h.
Answer:
Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.
Step-by-step explanation:
Consider the provided information,
Let X is the number of defective bulbs.
Ten light bulbs are randomly selected.
The likelihood that a light bulb is defective is 5%.
Therefore sample size is = n = 10
Probability of a defective bulb = p = 0.05.
Therefore, q = 1 - p = 1 - 0.05 = 0.95
Mean of binomial random variable: 
Therefore, 
Variance of binomial random variable: 
Therefore, 
Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.
Answer:
Value is 1.
Step-by-step explanation:
To find the value of 
is always equal to 1, but if zero to the power 0 is not defined.
Or simply we say that:
is always equal to 1
Here,
A non-zero number = 30 ≠0
then;
by definition:

Therefore, the value of
is 1