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3 years ago

15

A bag with 10 marbles has 2 yellow marbles, 4 blue marbles, and 4 red marbles. A marble is chosen from the bag at random. What i

s the probability that it is yellow?
Write your answer as a fraction in simplest form? (Help i forgot everything)

2 answers:

Juliette [100K]3 years ago

6 0

Answer:

1/10 should be the correct answer

hope this helps!!

Ivenika [448]3 years ago

6 0

Like 2/10 of it being a yellow marble

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3 years ago

The graph below shows the rate that water leaves a tank, in gallons per hour, where t is measured in hours. (Please give exact a

defon

Answer:

Part a) 10 gallons

Part b) 4.59 hours

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part a) How much water left the tank during the 6 hours shown?

To find out how much water left the tank during the 6 hours, determine the area of the graph in that interval

so

Calculate the area of the rectangle plus the area of the triangle

$(4)(2)+\frac{1}{2}(6-4)(2)$

$8+2=10\ gal$

Part b) How many hours did it take for 9 gallons to leave the tank?

we know that

In the interval [0,4]

8 gallons of water leaves the tank in 4 hours (remember that the area in that interval is equal to 8 gallons)

so

Find out in the interval (4,6] how many hours did it take for 1 gallon to leave the tank

First determine the equation of the line in the interval (4,6)

we have the points (4,2) and (6,0)

The slope is equal to

$m=(6-2)/(0-4)=-1$

The equation of the line is

$y=-(x-6)\\y=-x+6$

Determine the area of graph in the interval (4,x) (Is the area of trapezoid)

so

$A=\frac{1}{2}(2+(-x+6))((x-4)$

$A=\frac{1}{2}(8-x)((x-4)$

$A=\frac{1}{2}(-x^2+12x-32)\\\\A=-\frac{1}{2}x^{2}+6x-16$

For A=1 gal

$1=-\frac{1}{2}x^{2}+6x-16$

$-\frac{1}{2}x^{2}+6x-17=0$

solve the quadratic equation by graphing

The solution is x=4.59 hours

see the attached figure N 2

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3 years ago

Math Please help me

saw5 [17]

Answer:

Step-by-step explanation:

1.) C

2.) x - 2y = 6 ⇒ -2x + 4y = -12

-2x+4y = -12

2x+5y = -3

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9y = -15

y = -5/3

x = 2y+6 = 8/3

(x,y) = (8/3, -5/3)

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3 years ago