maria draws one marble from a bag containing 5 red, 3 green, and 4 yellow. the probability she draws a yellow marble is____

Mathematics

1 answer:

SIZIF [17.4K]2 years ago

5 0

Answer:

33% or 4/12

Step-by-step explanation:

There are 5 red, 3 green, and 4 yellow, so make it into a fraction. In total there are 12 marbles(5+3+4). There are 4 yellow marbles, so the fraction would be 4/12. Turn this into a percent to get the probability. 4/12 = 0.33 = 33%

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Part A

denis-greek [22]

Answer:

252/193

Step-by-step explanation:

According to the question

volume=36cm^3

Radius=3cm

Now

h= v/πr^2

=36/π*3^2

=36*7/193

=252/193cm

7 0

1 year ago

For f(x) = 3x +1 and g(x) = x2 – 6, find (f- g)(x).

Fiesta28 [93]

Answer:

$\boxed{\sf (f-g)(x) = -{x}^{2} + 3x + 7}$

Given:

$\sf f(x) = 3x + 1 \\ \sf g(x) = {x}^{2} - 6$

To find:

$\sf (f - g)(x) = f(x) - g(x)$

Step-by-step explanation:

$\sf \implies(f - g)x = f(x) - g(x) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3x + 1) - ( {x}^{2} - 6) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3x + 1) + (- {x}^{2} + 6) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3x + 1 - {x}^{2} + 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - {x}^{2} + 3x + 1 + 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = -{x}^{2} + 3x + 7$