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In a survey at a local universit, 25% of students say that they get less than the recommended eight hours of sleep per night. In a group of 4900 students,how many would you expect get eight or more hours of sleep per night?

____ students get eight or more hours of sleep per night.

Thank You again

Since 25% get less than 8 hours, it therefore means that:

75% X  4,900=75/100 X 4,900=3,675 students who get 8 or more hours of sleep.

Solve for x over the real numbers:
3 2^(x+2)-7 = 24

Add 7 to both sides:
3 2^(x+2) = 31

Divide both sides by 3:
2^(x+2) = 31/3

Take the logarithm base 2 of both sides:
x+2 = (log(31/3))/(log(2))

Subtract 2 from both sides:
Answer: | x = (log(31/3))/(log(2))-2   =1.36923380..............

Thanks Guest :))

x-y=3 then x^3-y^3-9xy =?

This is fascinating.  Look at this weird graph!

LOL! I do headphones, books, and my personal fav, The Silent Treatment, also talking back to them and telling them they act like 3yr olds works... You'll prob get smacked... But trust me, it's worth it:)

Solve the following system:
{3 x+y = 1 |     (equation 1)
6 x+6 y = 18 |     (equation 2)
Swap equation 1 with equation 2:
{6 x+6 y = 18 |     (equation 1)
3 x+y = 1 |     (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{6 x+6 y = 18 |     (equation 1)
0 x-2 y = -8 |     (equation 2)
Divide equation 1 by 6:
{x+y = 3 |     (equation 1)
0 x-2 y = -8 |     (equation 2)
Divide equation 2 by -2:
{x+y = 3 |     (equation 1)
0 x+y = 4 |     (equation 2)
Subtract equation 2 from equation 1:
{x+0 y = -1 |     (equation 1)
0 x+y = 4 |     (equation 2)
Collect results:
Answer: | x = -1     and       y=4
 

Let the total number of animals=K

Let the number of Otters=O

Number of Foxes=O+4

Number of Beavers=16.1K

Number of Bobcats=16.1K

Number of Black Bears=1/3K

Number of Fishers=16

.161K + 16=1/3K 

K=93Total number of animal

93/3=31 Black Bears

15 Beavers

16 Fishers

15 Bob Cats

6 Otters

10 Foxes

 P(t)=10,478,756(1+.0123)10

10,478,756*(1+.0123)^10 = 11841373.9498238932804773227003680901783250768644

I used the forum calculator. ://

Not very sure try. Using a calculator or asking someone close..

Hey to be honest I don't really understand this one myself...

Hey to be honest I don't really understand this one myself...

Life

Listen to music:) or you can zone out by reading a book...

hi:) I'm good, how are you?

4+34= 38 and there are 365 days in a year unless it is a leap year

Thanks Chris and guest,

 Hi PurplePotato, you have a fabulous username!  Welcome to the forum :)

Yes Nauseated, pat, pat, I understand that your response would have taken major effort....

It was a response, but it was not an answer to the actual question so it did not qualify for an answer distinction nomination. :/

I am really sorry but I cannot allow every mutt who leaves his mark to be rewarded now can I.   

Never mind, pat,pat, pat,  there is some more cat food in the fridge for you.  That will make you feel better.   Pat, pat, pat.  :)

Melody, you left my name off the list of great answers. I’m sure it was just an oversight and not troll-discrimination or anything like that. Now, I know you will say I didn’t answer the question, but I did reply to the one that did, pointing out the CDD in its very virulent – spooky dumbness at a distance – form.  I do this as a public service and that has the same or even greater value as answering the question.

BTW I did answer it. It was a major chore but I managed.

3/4

9+10=19

30.02

good

4+34= 38

numbers, time, algebra, geometry, and many more things.

Hello, It's me...I know that you do not know me but still hiiiii!