Say ok I’ll be back at my house at
Probabilities are used to determine the chances of an event.
- The probability that the first contestant is a boy is 1/2
- The probability that the second contestant is a boy, if the first is a boy is 9/19
- The probabilities are not independent
The given parameters are:



<u>(a) Probability that first contestant is a boy</u>
This is calculated as:

This gives


<u>(b) Probability that the second contestant is a boy, if the first is a boy</u>
This is calculated as:

We subtracted 1, because the first contestant (a boy) is no longer part of the selection.
So, we have:


<u>(c) Independent probabilities</u>
The probabilities are not independent, because when a contestant is selected, the number of contestant is reduced by 1.
And this will affect the probability of the next selection.
Read more about probabilities at:
brainly.com/question/11234923
Answer:
The plumber worked 50 hours, and his assistant worked 25 hours.
Step-by-step explanation:
Since a plumber and his assistant work together to replace the pipes in an old house, and the plumber charges $ 30 an hour for his own labor and $ 20 an hour for his assistant's labor, and the plumber works twice as long as his assistant on this job, and the labor charge on the final bill is $ 2000, to determine how long did the plumber and his assistant work on this job the following calculation must be performed:
40 x 30 + 20 x 20 = 1200 + 400 = 1600
50 x 30 + 25 x 20 = 1500 + 500 = 2000
Therefore, the plumber worked 50 hours, and his assistant worked 25 hours.
Answer:
Step-by-step explanation:
If a complex number is z=a+ib, then the trigonometric form of complex number is
where,
and
,
is called the argument of z,
.
The given complex number is -5i.
It can be rewritten as
Here, a=0 and b=-5.
lies in 4th quadrant.
So, the trigonometric form is
For this case, the first thing to do is to calculate the time you were watching the game.
We have then:
2:00 - 1:45 = 15 minutes
Then, the amount of degrees is given by:
(15/60) * (360) = 90 degrees
Answer:
the minutes hand did turn about:
90 degrees