geno3141

I'm not sure what you want:

1) If your angle is measured in radians and has size 0.3333, then use the calculator on this site -- make sure that you place the calculator in radian mode, hit (sin), enter 0.33333, and press (=).  The answer is about 0.327.

2) If you are looking for the size of the angle, and the value of sin is 0.33333, then use the calculator on this site -- press (2nd), (asin), enter 0.33333, and press (=). The answer is about 19.5°.

I get a different answer because I'm interpreting the problem differently; I'm interpreting "six milliliters of a ten percent solution" to mean that the total amount of this solution is 6 ml and 10% of that amount is acid.

Total amount when the two are mixed = 15 ml.

Using the formula:

  (Amount)·(Percentage) + (Amount)·(Percentage)  =  (Total Amount)·(Total Percentage)

           (6)·(.10)            +           (9)·(.20)             =                 (15)·(x)

                                                      .60 + 1.80     =     15x

                                                            2.40       =      15x

                                                                 0.16  =  x         --->  Answer B

μ  =  n · p  =  300 · 0.40  =  120

 σ  =  √( n · p · q )  =  √( 300 · 0.40 · 0.60 )  =  8.485

z-score  =  [ 124 - 120 ] / [ 8.485 / √300 ]

Find this z-value; and find the normalcdf value for a z-value of this size or smaller.

You can find the "exact" answer for all of the different shapes, but this isn't a practical answer for the amount of table space needed -- because you cant place circular pies next to rectangular cakes without leaving bare table space.

To translate inches into centimeters, multiply the inches times 2.54.

A better way to approximate is to place each item into either a square or rectangular space:

A pie with a radius of 25 cm each will fit into a square area 50cm x 50cm  =  2500 sq cm.

---   You have 15 of these pies; calculate their total area:

Hexagonal chicken pot pies with an edge length of 3" will fit into a square of 6" by 6". Translate each measurement into centimeters and find the area of the square that will hold this pot pie:

---   You have 7 pot pies: calculate their total area:

Square cakes 11" x 11":  translate each measure into centimeters and find that area:

---   You have 5 of these cakes: calculate their total area:

A cupcake whose radius is 2 cm, will fit in a 2 cm x 2 cm square: find this area:

---   Since 4 people bring 13 of these cupcakes, their will be 52 cupcakes: calculate their total area:  

Turkeys:  The "6 inch by ten inch perimeter" is questionable? Does this mean that it can be held in a rectangle 6" x 10"? If so, translate each measure into centimeters and find that area:

---   Thirteen people brought 4 turkeys each, for a total of 52 turkeys:  calulate their total area:

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Now:  find the sum of the total areas:                            (Just the total areas!)

The 10' x 15' table:  changing this into inches:  120" x 180"; translate each measure into centimeters and find that area:

Now, compare the area of the food to the area of the table.

CAn you use an on-line calculator?

100  =  10 · log( z / 10^-12)  

100  =  10 · log( 10^12 · z ) 

100  =  10 · [ log( 10^12) + log( z ) ]                      (When numbers are multiplied, the logs are added.)

100  =  10 · [ 12 · log( 10 ) + log( z ) ]                    (Exponents come out as multipliers.)

100  =  10 · [ 12 + log( z ) ]                                    (log( 10 ) = 1   --->    12 · log( 10 )  =  12 · 1 =  12 )

100  =  120 + 10 · log( z )                                       (Distribute the 10.)

-20  =  10 · log( z )                                                 (Subtract 120 from both sides.)

-2  =  log( z )                                                         (Divide both sides by 10.)

--->   z  =  10^-2                                                   (Switch from log form to exponential form.)

First:  find the mean of the measurements

s²  represents the variance

x  represents each individal measurement

m  represents the mean of the measurements

n  represents the number of measurements

The formula for variance:          s²  =  ∑(x - m)² / (n - 1)

If the problem is to find the answer to:  1/2 x 6 x 64,  you can use the calculator at this site.

You need to find the normalcdf(-∞, 1.69).