Suppose that 3 -you notes are written and 3 envelopes are addressed. accidentally, the notes are randomly inserted into the envelopes and mailed without checking the addresses. what is the probability that all the notes will be inserted into the correct envelopes? the probability is 0.17.

The probability  that all the notes will be inserted into the correct envelopes is 1/6 or 0.166667.

Step-by-step explanation:

All the possible combinations are given by 3!=3x2x1=6. There are 6 possible ways in which the letters can be mailed. One of these ways is that the direction is correct. So the probability is 1/6=0.166667.

"a" determine whether sage found the correct quotient. show your work

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204