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AveGali [126]
3 years ago
10

A bag contains 28 blue marbles and 12 red marbles. If Milton removes two marbles without replacing them, what is the probability

that the first marble will be blue and the second one will be red?
A.14/65
B.21/100
C.77/390
D.1/4
Mathematics
1 answer:
Ghella [55]3 years ago
8 0

Answer:

A: 14/65

Step-by-step explanation:

Let A be the event of pulling a blue marble first, there are 28 blue marbles

Let B be the event of pulling a red marble second, there are 12 red marbles

There are 40 total marbles in the bag.

So

P(A) = 28/40

Since he pulls two marbles with out replacement, there is one less marble in the bag when he pulls the second marble, so there are only 39 marbles left, so

P(B) = 12/39

When calculating the probability of multiple events, you multiply their probabilities together, so we have

P(A then B) = (28/40)(12/39) = 336/1560

Now reduce the fraction...

112/520

28/130

14/65

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Two airplanes are flying to the same airport. Their positions are shown in the graph. Write a system of linear equations that re
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Answer:

Airplane #1 equation: y=5/13x+42/13

Airplane #2 equation: y=1/3x+14

Step-by-step explanation:

So to find the slope of each airplane, you use the formula y2-y1/x2-x1. That means, for airplane#1 the equation will be 9-4/15-2. Simplify this and get 5/13. Then, for airplane#2, the equation will be 12-9/6-15. Simplify this and get 3/-9 and divide each side by 3 to get 1/-3 or -1/3. Next, use point slope formula to find the system of linear equations. Point slope formula is y-y1=m(x-x1). M is the slope. Use any point from the line. In this case, I will use (2,4). Tat means the first airplane's equation would be y-4=5/13(x-2). Then y-4=5/13x-10/13. Then, convert four into a fraction with a denominator of 13. This means, you have to multiply 4 by 13 to get 52/13. Add 52/13 to -10/13 to get 42/13. That means the first equation will be y=5/13x+42/13. The second equation point will be (6,12). This means the equation will be y-12=-1/3(x-6). Simplify this to get y-12=-1/3x+2. Simplify this to get y=1/3x+14. Therefore, Airplane#1 equation will be y=5/13x+42/13 and airplane #2 equation will be  y=1/3x+14.

Hope this helps

6 0
3 years ago
A set of equations is given below:
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The correct answer is 'Equation F can be written as 2d + 1 = 3d + 7'. In order to find the answer to a system of equations, the two equations must be set equal to each other. For instance, if we had the equations x = y + 1 and x = 3y - 1, we would set the two equations equal to one another to find the answer.

x = y + 1
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y + 1 = 3y - 1
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x = y + 1
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We can use this to solve the set of equations above.

</span><span>2d + 1 = 3d + 7
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Hope this helps!
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Answer:  The answer is \textup{M}+\textup{H}\leq 10~~\textup{and}4\textup{M}+7\textup{H}\leq 90.


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Number of middle school dances is "M" and number od high school dances is "H".

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Thus, the pair of inequalities is

\textup{M}+\textup{H}\leq 10,\\\\4\textup{M}+7\textup{H}\leq 90.


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