How many songs are played on your favorite radio station in a given year?
Answers
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
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Answers
Answer: 0.9996
Step-by-step explanation:
Given : The body temperatures of adults are normally distributed with a mean of 98.6° F and a standard deviation of 0.60° F.
Sample size : n=25
Let x be the random variable that represents the body temperatures of adults.
z-score :
For x= 99° F
Now, the probability that their mean body temperature is less than 99° F will be :-
Hence, the probability that their mean body temperature is less than 99° F = 0.9996
Final answer:
To find the probability that the mean body temperature of 25 randomly selected adults is less than 99°F, we can use the Central Limit Theorem and calculate the Z-score. The mean body temperature of adults is 98.6°F with a standard deviation of 0.60°F. The sample size is 25.
Explanation:
To find the probability that the mean body temperature of 25 randomly selected adults is less than 99°F, we can use the Central Limit Theorem. According to the Central Limit Theorem, the sampling distribution of the sample mean follows a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
In this case, the mean body temperature of adults is 98.6°F with a standard deviation of 0.60°F. The sample size is 25. So, the mean of the sampling distribution would still be 98.6°F, but the standard deviation would be 0.60°F divided by the square root of 25, which is 0.12°F.
Now, we can use the Z-score formula to find the probability that the mean body temperature is less than 99°F. The Z-score is calculated by subtracting the population mean from the desired value (99) and dividing it by the standard deviation of the sampling distribution (0.12). We can then use a Z-table or calculator to find the probability associated with the Z-score.
Learn more about Probability here:
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Answers
for 64 yes, because (-2)⁶ = 64
as a general rule a negative number raised to a odd number will give a negative number
a negative number raised to a even number will give a positive number
Answer: A base of − cannot be used to rewrite because (−)
= −. A base of − can be used to rewrite because
(−)
= . If the exponent, , is even, (−)
will be positive. If the exponent, , is odd, (−)
cannot be a
positive number.
Step-by-step explanation:
Answers
circuimsantece=2*3.14*1.2=76.36
circuimsantece of quarter=76,36/4=19.09
ratio=1/2
Answers
Step-by-step explanation:
Think of all possible numbers walking back and forth, positive means walking forward, negative means walking backwards. You start at zero, so 5 represents walking 5 yards forward. This would mean that negative 5 means walking backwards, it would still be five yards. Since 5 is a gain of 5 yards, -5 would mean a loss of 5 yards.
Answers
Step-by-step explanation:
1 and 2023 yes as standard.
2 no (not an even number).
3 no (sum of the digits is 7 and not divisible by 3).
4 no (not an even number)
5 no (2023 dies not end with 5 or 0)
6 no (not an even number)
7 yes. and therefore also 2023/7 = 289
7 has no other factors, so 289 is the remaining part with potentially other prime factors.
289 = 17², so 17 is another factor.
but 17 is again a prime number and has no other factors.
2023 = 7×17×17
and so, 7×17 = 119 is also a factor of 2023.
so, we have as factors :
1, 7, 17, 119, 289, 2023
that means 6 factorsin2023.
Answers
Answer:
Yes, they do because both of the morning graphs had a better range in grades than the afternoon students.
Step-by-step explanation:
Answer:
I can see the pdf
Step-by-step explanation: