geno3141

Assuming that they only vowels are an A on spinner 1 and an E on spinner 2:

There are four possibilities:

spinner 1 = A and spinner 2 = E  =  (3/4) x (1/3) = ?

spinner 1 = A and spinner 2 = not E = (3/4) x (2/3) = ?

spinner 1 = not A and spinner 2 = E = (1/4) x (1/3) = ?

spinner 1 = not A and spinner 2 = not E = (1/4) x (2/3) = ??

If you add the answers to the three possibilities that have a '?', you will get the probaiblity of getting at least one vowel.

You need to use the combination formula:  _nC_r · p^r · q^{n - r}.

n = number of trials = 10

r = number of successes = 0

p = probability of success = 0.90

q = probability of failure = 1 - p = 0.10

The width of a dollar bill is 2.61 inches.

One billion dollar bills (side by side) would be 2.61 x 1,000,000,000 inches.

To change these into feet, divide by 12:  2.61 x 1,000,000,000 ÷ 12.

To change that into miles, divide by 5280:  2.61 x 1,000,000,000 ÷ 12 ÷ 5280.

(If you meant end to end, the long way, replace 2.61 inches with 6.14 inches.)

1¹  =  1

(Any number to the 1-power equals that number.)

x + y + z  =  2100

Since x + y  =  3z, remove x = y from the equation and replace it with 3z:

3z + z  =  2100

   4z  =  2100

Divide both sides by 4:

    z  =  525

92 - 16b  =  12

Subtract 92 from both sides:

--->   -16b  =  -80

Divide both sides by =6:

--->   b  =  5

To divide by a fraction, multiply by its reciprocal:

352 ÷ (3/4)  =  352 x (4/3)  =  1408/3

If the number is smaller than 1.0, then the exponent is negative; thus 0.000 000 1  =  10E-7.

Square both sides of the equation  x + y  = 2:

--->   (x + y)²  =  2²

Multiplying out:

--->  x² + 2xy + y²  =  4

Since xy = 23:

--->   x² + 23 + y²  =  4

--->   x² + y²  =  -19            (This does not have real answers!)

If you have saved $25.00 for each month for four months, you have saved $100.00.

In order to have $175.00 in your savings account, you must have started with $75.00.

An equation that show that you have saved (and will continue to save) $25.00 per month after starting with $75.00 is:

     y  =  25x + 75