<h3>
Answer:</h3>
<em>The theoretical probability to draw a black marble is </em><u><em>0.23</em></u><em>. </em>
Step-by-step explanation:
First add up the total amount of marbles in the bag.
14 gray marbles + 7 black marbles + 10 white marbles = 31 total marbles.
Since we need the odds of a black marble being drawn, divide 7 (the amount of black marbles) by 31 (the amount of total marbles).
7/31 ---> 0.22580645161 <u><em>(it is easiest to use a calculator on this step)</em></u><em> </em>
Lastly, round the decimal to the nearest hundredth.
0.22580645161 ---> <em>0.23</em>
<em>0.23</em> would be the odds of drawing a black marble.
Answer:
84 ft²
Step-by-step explanation:
Solve for Volume. Volume of a box is:
V = Length (base) x Width (base) x Height (of rectangular prism/square)
Change each measurement to have the same measurement (ft -> in, or vice versa).
Note that 1 ft = 12 in.
6 in = 1/2 ft, because 6/12 = 1/2
Length = 12 ft
Width = 14 ft
Height = 1/2 ft
Solve. Plug in the corresponding number to the corresponding words.
V = 12 x 14 x 1/2
Simplify. Solve.
V = 12 x (14 x 1/2)
V = 12 x (14/2)
V = 12 x 7
V = 84
84 ft² is your answer.
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Give me a picture of the problem and i will solve it
I'm taking the liberty of editing your function as follows: <span>w=4r^2+6s^2, where I use " ^ " to indicate exponentiation.
The partial of w with respect to r is 8r. That with respect to s is 12s.</span>

Here's the solution :
slope of the line is equal to :
slope of given line = 3