The Smiths are putting new carpet in their family room. One corner of the room will not have carpet, as shown in the diagram No carpet
4 ft
20 ft
3 ft
Carpet
14 ft
* not drawn to scale
How many square feet of carpet will the Smiths use for their family room?
O A 268 ft2
OB. 274 ft2
O c C. 324 ft?
D. 330 ft2

Find the gradient of f(x, y,z)equals=left parenthesis x squared plus y squared plus z squared right parenthesis superscript negative 1 divided by 2 baseline plus ln left parenthesis x right parenthesis x2+y2+z2−1/2+ln(xyz) at the point left parenthesis negative 2 comma 1 comma negative 2 right parenthesis(−2,1,−2).

Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.

For each proportion find the unknown number x 1/5/8=×/15