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
M=cost per movie
v=cost per video game
2m+5v=33
8m+3v=30
use elimination
eliminate movies
mutliply first equation by -4 and add to 2nd
first equation becomes -8m-20v=-132
add the 2 equations
-8m-20v=-132
<u>8m+3v=30 +</u>
0m-17v=-102
-17v=-102
divide both sides by -17
v=6
subsiutute back
2m+5v=33
2m+5(6)=33
2m+30=33
minus 30 both sides
2m=3
divide 2
m=1.5
rental cost per movie is $1.50
rental cost per video game is $6
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Answer:
Question 4: The minor arc is <em>AB </em><em>and has a measure of 115°.</em>
Question 5:
Question 6: The area of the figure is
Question 7:
Question 8:
Step-by-step explanation:
Question 4:
<em>The minor arc of the circle that subtends the least degrees</em>, and for this circle it is AB and has a measure of 115°.
Question 5:
The length of the arc of the circle with a radius subtending radians is
The arc YPX measures 360° - 90° = 270, which is ; therefore,
Question 6:
We first need to find what percent of the circle the figure is.
165° is
percent of 360°.
Therefore, the area of the figure must also be 45.83% of the area of the circle. The area of the circle is
therefore, the are of the figure is
Question 7:
One radian is 57.296°; therefore, -340° in radians is
Question 8:
One radian is 57.296°; therefore, radians in degrees is