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500^-3  =  1 / 500³  =  1 / 125 000 000

If you do the division, you will find that the answer is  0.000 000 008

The ratio  1 : 2/3  =  (1) / (2/3)  =  1 x (3/2)  =  3/2

The ratio  (2/3) : (1/3)  =  (2/3) / (3/2)  =  (2/3) x (3/2)  =  1

These ratios are NOT equal.

2 1/6 = 13/6, -8/3 = -16/6, -4 7/9 = -43/9

13/6 = 39/18, -16/6 = -48/18, -43/9 = -86/18

39/18-(-48/18)+(-86/18) = 39/18 + 48/18 - 86/18 = 87/18 - 86/18 = 1/18

h(t)  =  -16t² + 14t + 11

To find when the height is 9':  h(7)  =  9   --->     -16t² + 14t + 11  =  9

Subtract 9 from both sides:                                   -16t² + 14t + 2  =  0

Dividing by -2:                                                                 8t² - 7t - 1  =  0

Factoring:                                                                    (8t + 1)(t - 1)  =  0

Solving:                                                                 t  =  -1/8   or   t  =  1

Negative times are not possible, so the answer is:  t  =  1  (one second after throwing).

To find when the ball hits the ground:  the height will be 0'     --->     -16t² + 14t + 11  =  0

Divide by -1:                                                                                                16t² - 14t - 11  =  0

Factoring:                                                                                                  (8t - 11)(2t + 1)  =  0

Solving:                                                                                                t  =  11/8   or   t  =  -1/2

Answer:  1 3/8  second after throwing.

8/3 * 13/4 = 26/3

A director of reservations believes that 2% of the ticketed passengers are no-shows. If the director is correct, what is the probability that the proportion of no-shows in a sample of 507 ticketed passengers would be greater than 3%? Round your answer to four decimal places

3% of 507=15.21

So the question is ...  what is the probability that 15.21 people or more will be no shows.

p=0.02     q=0.98

The mean number of no shows would be 0.02*507 = 10.14

The standard deviation fo no shows is  

\(\sigma=\sqrt{n*p*q}\\ \sigma=\sqrt{507*0.02*0.98}\\ \sigma=3.15233247\)

I used this site but you should be able to do more of it yourself is you need to.  Just work out the z score for a raw score of 15.21 and it is the same as any other normal curve.

So the probability is 0.0539

which is   5.39%

funny eh

Statistical file:
{31, 29, 33, 51, 44, 64, 36, 31, 69, 45, 74, 67, 36, 33, 31, 81, 62, 76, 63, 40, 37, 54, 56, 27, 38, 61}


Average (mean): μ=48.8076923077
Absolute deviation: 384.615384615
Mean deviation: 14.7928994083
Minimum: 27
Maximum: 81
Variance: 269.463017751
Standard deviation σ=16.4153287433
Corrected sample standard deviation s=16.7404163169
Geometric mean: 46.1114916807
Harmonic mean: 43.6104686961
Sum: 1269
Sum of absolute values: 1269
Average absolute deviation: 14.7928994083
Range: 54

At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each cost the same amount, but each was $2.25 less than the items that Tanya bought. Both Tanya and Tony paid the same amount of money. What was the individual cost of each person's items?

4x117=468

4.58257569496

Solve for t:
9 = -(16 t^2)+14 t+11

9 = -16 t^2+14 t+11 is equivalent to -16 t^2+14 t+11 = 9:
-16 t^2+14 t+11 = 9

Divide both sides by -16:
t^2-(7 t)/8-11/16 = -9/16

Add 11/16 to both sides:
t^2-(7 t)/8 = 1/8

Add 49/256 to both sides:
t^2-(7 t)/8+49/256 = 81/256

Write the left hand side as a square:
(t-7/16)^2 = 81/256

Take the square root of both sides:
t-7/16 = 9/16 or t-7/16 = -9/16

Add 7/16 to both sides:
t = 1 or t-7/16 = -9/16

Add 7/16 to both sides:
Answer: |t = 1 second

Solve for θ:
(0+i) sinh(θ) = -0.320291

(0+i) sinh(θ) = i sinh(θ):
i sinh(θ) = -0.320291

Divide both sides by i:
sinh(θ) = 0.320291 i

Take the inverse hyperbolic sine of both sides:
Answer: |
 | θ = 2.81556 i+2 i π n_1 for n_1 element Z
   θ = 0.326037 i+2 i π n_2 for n_2 element Z

y=9

x=8

5x-7y=10, solve for y:

y = (5 (x-2))/7

y = (5 (-1-2)) / 7 =-15/7, when x= -1

y = (5 (0-2)) / 7 =-10/7, when x=0

y = (5 (1 -2)) / 7= -5/7, when x =1

The billionth second of your life from Jan. 1, 2005 will occur approx. on Sept. 9, 2036.

You can also press shift 6.

Use your calculator and follow the instructions in the question. Nobody is going to draw you a histogram here.

Enter the base number first. Then press the key "x^y" next to 7. Then enter your exponent and hit the = key to get the answer.