The probability of drawing two black cards without replacement is 1/14, and the probability of drawing one black card is 2/7. What is the probability of drawing a second black card, given that the first card is black?

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.

v = 1/3 a^2h

step-by-step explanation:

if the height is 57.7cm and the height of the slant edge is 18.2cm, then the volume is 1/3 a^2h.

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