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Alenkasestr [34]
3 years ago
10

Prove that if every two of them have a vertex in common, then "they all have a vertex in common"

Mathematics
1 answer:
USPshnik [31]3 years ago
6 0
Adjacent angles.............
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You have a bag full of apples. There are 12 Jonathan (red), 6 Granny Smith (green), and 3 Golden Delicious (yellow) apples in th
tensa zangetsu [6.8K]

Answer:

The total number of apples is 17

Step-by-step explanation:

(a)

Number of green apples = 4

P ( that all three apples are green)

= (limit 4 and 3) / (limit 17 and 3)

= 4! / 3!(4−3)!

= 17! / 3!(17−3)!

= 1 / 170

= 0.005

(b)

Number of red apples = 8

P(that all three apple are green)

=(limit 8 and 3) / (limit 17 and 3)

= 8! / 3!(8−3)!

= 17! / 3!(17−3)!

= 7 / 85

= 0.082

Now,

P(that no three apple is red)= 1−0.082 = 0.918

c)

P(of selecting 4 apple that contain at least 2 red apples)

= (limit 8 and 2) /( limit 17 and 2) X (2/15) + (limit 8 and 3) /(limit 17 / 3) X (1/14)

= (7/34) × (2/15) + (7/85) × (1/14)

= 0.027 + 0.058

= 0.085

d)

P(that the second apple selected is yellow given that the first apple is red)

= (limit 5 and 1) / ( limit 16 and 1)

= 5! / 1!(5−1)!

= 16! / 1!(16−1)!

= 5 /16

= 0.3125

5 0
3 years ago
Read 2 more answers
Find the total area of a cylinder whose radius is 2 cm and height is 4 cm.
kolezko [41]

Answer:

78.95cm^2

Step-by-step explanation:

The equation for a cylinder is rπ^2 · h

2π²·4≈78.95

4 0
3 years ago
Solve The Following Question:<br><br> 5/13t = -9
BabaBlast [244]
5/13t= -9
Then t =( -9*13) / 5
T=-23.4
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3 years ago
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Scott had 3 equal stacks of baseball cards. He gave one stack to his brother Shawn.
Anuta_ua [19.1K]
90 cards in total and 30 in each stack
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4 years ago
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Write an equation of the line that has a slope of 3 and contains the point (2,5) in point-slope for
enot [183]
The equation would be y=3x-1

Point Slope Formula: 

y - y1 = m(x - x1)

y - 5 = 3(x-2)
y - 5 = 3x - 6
  + 5        + 5
--------------------
y = 3x - 1


8 0
4 years ago
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