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tan(49) = 900 / h

1.150 =900/h cross multiply

1.150h=900 divide both sides by 1.150

h=900/ 1.150

h=782.61

a. What is P (A|B)   =   P( A and B) / P(B)   =   .1 / .7   = 1/7

b. What is P ( A or B )  =  

P(A)  + P(B)  -  P(A and B)  =

.3       +  .7    -   .1   =

.9   = 

9/10

c. What is P (B|A)  = P(A and B)  / P(A)  =   .1 / .3     = 1/3

d. The events will be independent if :

P(A and B)   =  P(A) * P(B)   ...so.....

.1  =  (.3) (.7)   ???

.1  = .21    ????

No.......so  these are dependent events

1/4 x^4  + 1/48 pi  x^3   + K   <------  Yep, I seem to forget that constant regularly !   

Here.....I'm assuming that the last term is being divided by 16pi.......

∫  x^3 +  x^2/16pi  dx  =

∫ x^3 dx  + ∫ x^2/16pi  dx  =

∫ x^3 dx   + [1/16pi ] ∫ x^2 dx  =

x^4 / 4    + [1/16pi] [ x^3]/ 3   + C   =

x^4/4   + x^3 / [ 48pi] + C

Take the integral:

integral (x^3+x^2/(16 pi)) dx

Integrate the sum term by term and factor out constants:

= integral x^3 dx+1/(16 pi) integral x^2 dx

The integral of x^3 is x^4/4:

= x^4/4+1/(16 pi) integral x^2 dx

The integral of x^2 is x^3/3:

Answer: | = x^4/4+x^3/(48 pi)+constant

1/4 x^4  + 1/48 pi  x^3

36 people paly @ $2 ea    = 72 dollars in

2/9 x 36 will win $6    2/9 x 36 x 6 = $48 payout ....Total    NET gain of $24 overall

0.8+5-0.3q=1.5q

0.8 + 5 =1.5q + 0.3q

5.8=1.8q divide both sides by 1.8

q=5.8 / 1.8

q=3.2222......

Same answer today, in Radians, that was derived by guest, in degrees yesterday.....this question just keeps going and going and going.....

-4 - (- 15 )  =

-4 + 15  =

11

34° 42′

Notice that we can convert the minutes to decimal degrees as follows :

42 / 60   =

7/10  =

0.7°

So

[34 + 0.7]°  =

34.7°

Solve for n:

2-8 n = 3+10 (1-3 n)

10 (1-3 n) = 10-30 n:

2-8 n = 10-30 n+3

Add like terms. 3+10 = 13:

2-8 n = 13-30 n

Add 30 n to both sides:

30 n-8 n+2 = (30 n-30 n)+13

30 n-30 n = 0:

30 n-8 n+2 = 13

30 n-8 n = 22 n:

22 n+2 = 13

Subtract 2 from both sides:

22 n+(2-2) = 13-2

2-2 = 0:

22 n = 13-2

13-2 = 11:

22 n = 11

Divide both sides of 22 n = 11 by 22:

(22 n)/22 = 11/22

22/22 = 1:

n = 11/22

The gcd of 11 and 22 is 11, so 11/22 = (11×1)/(11×2) = 11/11×1/2 = 1/2:

Answer: | n = 1/2

thanks

Simplify the following:
(x-3)/3+(4-x)/4

Put each term in (x-3)/3+(4-x)/4 over the common denominator 12: (x-3)/3+(4-x)/4  =  (4 (x-3))/12+(3 (4-x))/12:
(4 (x-3))/12+(3 (4-x))/12

(4 (x-3))/12+(3 (4-x))/12 = (4 (x-3)+3 (4-x))/12:
(4 (x-3)+3 (4-x))/12

4 (x-3) = 4 x-12:
(4 x-12+3 (4-x))/12

3 (4-x) = 12-3 x:
(-12+4 x+12-3 x)/12

Grouping like terms, -12+4 x+12-3 x = (4 x-3 x)+(12-12):
((4 x-3 x)+(12-12))/12

4 x-3 x = x:
(x+(12-12))/12

12-12 = 0:
Answer: |  x/12

Me too. Cookies are boss.

The answer is 10 

10•10=100

Solve for b:
3 b^2-12 = 16

Add 12 to both sides:
3 b^2 = 28

Divide both sides by 3:
b^2 = 28/3

Take the square root of both sides:
Answer: |   b = 2 sqrt(7/3)         or        b = -2 sqrt(7/3)

Dennis is driving to his uncles house, which is 500 miles away. Dennis has been traveling 6 hours at an average speed of 55 miles per hour. About how much longer will it take Dennis to reach his uncles house if he maintains the same speed?

6 x 55=330 miles that Dennis has driven in 6 hours

500 - 330 =170 miles to go

170/55 =3.09 hours to get his uncle's house. Or about 3 hours and 5 1/2 minutes.

none?

how to calculate digit sum of (10^1998   + 5)^2=1 x 10^3996. The addition of 5 has insignificant effect on the size of this number. It just means the last 2 digits will be 25.