We have to assume that he does all this with his eyes closed, and so his selections are completely random.
-- There are 26 socks in the drawer all together.
-- 10 of them are black or brown.
-- So the probability that he pulls out
either a black sock or a brown one is
10/26 = 5/13 = about 38.5% .
-- He puts it back, so there are still 26 socks in the drawer.
-- 16 of them are white.
-- So now, the probability of pulling out a white one is
16/26 = 8/13 = about 61.5% .
The probability of the whole process happening
just exactly as you described it is
(10/26) x (16/26)
= (5/13) x (8/13)
= (40) / (13²) = 40/169 = about 23.7% .
Quick check:
We got 38.5% the first time, and 61.5% the second time.
(38.5%) x (61.5%)
= (0.385 x 0.615)
= 0.2367 ==> 23.7% <== yay! that's good enough for me
Formula for a sphere is V = (4 ⁄ 3) π r^3
The picture shown showed the diameter.
Half of a diameter is the radius.
The radius is 2.95 yd.
Let’s plug in the values into the formula.
V = (4/3) 3.14 (2.95)^3
V = 107.48
NOW THATS THE ANSWER FOR A WHOLE SPHERE BUT YOURE LOOKING FOR THE HEMISPHERE.
So let’s divide that in half:
107.48/2 = 53.74
Your answer is B.) 53.74 yd
Divide each term in
3x=27 by 3.3x3=27/3
Reduce the expression by cancelling the common factors.
Cancel the common factor.
3x3=27/3
Divide
x by 1.x =27 /3
Divide
27 by 3.x=9
Divide each term by 3 and simplify. hope this helps :)
Step-by-step explanation:
The difference quotient is simply the slope of the line connecting two points on a curve. For the best approximation, we should use points that are closest to x = 0. In this case, the points are (-0.001, 1.999) and (0.001, 2.001).
m = (2.001 − 1.999) / (0.001 − (-0.001))
m = 1
Your answer should be 253 x 93=22500