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Nata [24]
3 years ago
14

HELP ME QUICK

Mathematics
1 answer:
Colt1911 [192]3 years ago
8 0
Explanation:
First equation can be arranged as:
4
x
−
7
=
y
Put this y into the second equation (instead of y use
4
x
−
7
):
2
x
−
3
(
4
x
−
7
)
=
−
9
2
x
−
12
x
+
21
=
−
9
−
10
x
=
−
9
−
21
−
10
x
=
−
30
x
=
3
y can be obtained using the first equation:
y
=
4
x
−
7
y
=
(
4
×
3
)
−
7
y
=
12
−
7
y
=
5
Your solution
x
=
3
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Answer:

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y=5x+8 , y=-4x-1y=5x+8,y=−4x−1

Both sides have y on the left hand side so make the right hand side equal and solve for x

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Divide by 9 on both sides

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Now plug in -1 for x in the first equation and find out y

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Rafael has a bag of marbles, there are 5 green marbles, 6 red marbles, and 4
yulyashka [42]

The probability of getting red marble from the consider withdrawal of a marble is 0.107 approximately.

<h3>How to calculate the probability of an event?</h3>

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

Given that:

The bag contains:

  • 5 green marbles,
  • 6 red marbles,
  • 45 white marbles.
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Since he draws one marbel, thus, only one colored marble would come out.

Let we suppose we've to find P(red marble coming out).

Then, if we take:

E = event of Rafael drawing a red marble,

then E can be done in 6 ways as there are 6 red marbles to choose from.

Also, withdrawal of 1 marble (of any color) can be done in (5+6+45 = 56) 56 ways.

Thus, we get:

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Thus, the probability of getting red marble from the consider withdrawal of a marble is 0.107 approximately.

Learn more about probability here:

brainly.com/question/1210781

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