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Mathematics

2 answers:

Eddi Din [679]3 years ago

7 0

Step-by-step explanation:

If there are 20 yellow marbles,

there must be 32 - 20 = 12 red marbles.

P(Red marble)

= 12/32

= 0.375.

exis [7]3 years ago

6 0

Answer:

The probability is 12/32

Step-by-step explanation:

If there are 12 red marbles and 20 yellow marbles, then there will be a 12/32 chance that you pick a red marble

This is because out of 32 marbles, you have 12 red marbles that you could pick, which gives you a 12/32 chance that you will pick a red marble. This can also be said as a 37.5% chance.

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PLZ HELP ASAP DIVIDE LINE SEGMENTS

Yuri [45]

A (4,8) and b (7,2) and let c (x,y)

A , B and C are col-linear ⇒⇒⇒ ∴ slope of AB = slope of BC
slope of AB = (2-8)/(7-4) = -2
slope of BC = (y-2)/(x-7)
∴ (y-2)/(x-7) = -2
∴ (y-2) = -2 (x-7) ⇒⇒⇒ equation (1)

The distance between two points (x₁,y₁),(x₂,y₂) = d
$d = \sqrt{ (x2-x1)^{2} + (y2-y1)^{2} }$

The ratio of AB : BC = 3:2
AB/BC = 3/2
∴ 2 AB = 3 BC
$2 * \sqrt{ (7-4)^{2} + (2-8)^{2} }$ = $3* \sqrt{ (x-7)^{2} +(y-2)^{2} }$
eliminating the roots by squaring the two side and simplifying the equation
∴ 4 * 45 = (x-7)² + (y-2)² ⇒⇒⇒ equation (2)
substitute by (y-2) from equation (1) at equation (2)
4 * 45 = 5 (x-7)²
solve for x
∴ x = 9 or x = 5
∴ y = -2 or y = 6

The point will be (9,-2) or (5,6)
the point (5,6) will be rejected because it is between A and B

So, the point C = (9,-2)

See the attached figure for more explanations