The probability that no orange discs are selected is 0.1295 and the probability that exactly 2 discs with numbers ending in a 6 are selected is 0.0721.
<h3>How to calculate probability?</h3>
The probability that no orange discs are selected will be:
= 200C5 / 300C5
= 0.1295
The probability that exactly 2 discs with numbers ending in a 6 are selected will be:
= (30C2 × 270C3) / (300C5)
= 0.0721
The probability that exactly 2 orange discs with numbers ending in a 6 are selected will be:
= (100C2 × 290C3) / (300C5)
= 0.0092
The mean of the number of pink discs selected will be:
= np
= 5 × 1/3
= 5/3
The variance will be:
= 5 × 1/3 × 2/3
= 10/9 = 1.11
Learn more about probability on:
brainly.com/question/24756209
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Find Slope
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y = -1/3 x + 4
Slope = -1/3
Slope of the parallel line = -1/3
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Insert slope into y = mx + c
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y = -1/3 x + c
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Find y-intercept
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y = -1/3 x + c
at point (6, 5)
5 = -1/3 (6) + c
5 = - 2 + c
c = 5 + 2
c = 7
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Insert y-intercept into y = -1/3x + c
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y = -1/3 x + 7
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Answer: y = -1/3 x + 7 (Answer B)
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Find the area of the triangle on top
A=(.5)(Base)(Height)
A=(.5)(15)(9)
A=67.5
In the rhombus below you can move the corner triangle to the other side to transform it into a rectangle with a sides of 7 and 15. so lets find the area of this rectangle
A=L*W
A=15*7
A=105
now combine the two areas
67.5+105
172.5
so answer "C"
5/5 - 3/5 = 2/5 (left)
2/5 x 1/4 gallon = 1/10 gallon
Ans: 1/10 gallon
