On a vertical line segment, point A is located at 50. Point B is located at 104. Point P is a point that divides segment AB in a ratio of 1:5 from A to B. Where is point P located?

Answer:

Your favorite radio station in a given year plays 105120 songs.

Step-by-step explanation:

Lets make some assumptions:

1. A radio program in average last 50 minutes, because 10 of them are for commercials.

2. a song average length is about 3 minutes

3. the speakers use 10 to 20 minutes of the radio program.

4. So, in an hour just 30 minutes are effectively used to play songs on a radio station. That results in 10 per hour at least, and 13.3 at most. So lets settle an average of 12 songs per hour.

5. The radio station plays songs 24 hours a day unstoppable.

Now:

A day has 24 hours, a week seven days and therefor (24*7= 168 hours) 168 hours in a week.  

A year has 52.1429 weeks, so it has 8760 Hours (52.17429weeks*168hours=8760 hours )

So:

8760 hours in a year

12 songs per hour

Answer: The probability that the fruit is an orange or a pear is .

Step-by-step explanation:

Given : Emily has 12 fruits in her bowl.

She has 3 apples, 5 bananas, 1 pear and 3 oranges.

A fruit is selected at random.

P(orange)  =

P(pear)=

Since both events of selecting orange and pear are mutually exclusive , so

The probability that the fruit is an orange or a pear = P(orange) + P(pear)

Therefore , the probability that the fruit is an orange or a pear is .

Answer:

B.

Step-by-step explanation:

If each ticket costs $10 and each popcorn costs $5, with x = number of tickets and y = number of popcorn and $3 the service we have

10x+5y+3 = total cost.

Now, he has a total of $75 and he buys 4 tickets so

10(4)+5y+3 = 75

40+5y+3 = 75

43+5y=75

5y = 75-43

5y = 32

y = 32/5 = 6.4 ≈ 6 popcorn.

Then, he can buy 6 popcorns. Now, to find the inequality we need to know that if he has $75, the total cost can't exceed $75, that is, the total cost needs to be less or equal to $75.

10x+5y+3 ≤75.

Answer:

The probability that it is windy, given that it is rainy is:

                             62.5%≈63%

Step-by-step explanation:

Let A denote the event that it will rain.

B denote the event that it is windy.

A∩B denote the event that it is rainy and windy.

Let P denote the probability of an event.

i.e. we have:

P(A)=0.80

( Since there are 80% chance of rain)

P(A∩B)=0.50

(Since there are 50% chance of wind and rain)

We are asked to find:

P(B|A)

We know that:

Hence, the probability in percent is:

                   62.5%≈63%

I just took the test and the answer ain't B It's C.$330