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pav-90 [236]
3 years ago
11

Solve the following equation. Then place the correct number in the box provided. 3y + 2 ≥ 5y +8

Mathematics
2 answers:
GREYUIT [131]3 years ago
7 0

Answer:

y\leq -3

Step-by-step explanation:

3y+2 \geq 5y+8 \\\\3y\geq 5y+6\\\\-2y\geq 6\\\\y\leq -3

Hope this helps!

Troyanec [42]3 years ago
5 0

Answer:

-3 ≥y

Step-by-step explanation:

3y + 2 ≥ 5y +8

Subtract 3y from each side

3y-3y + 2 ≥ 5y-3y +8

2 ≥ 2y +8

Subtract 8 from each side

2-8 ≥ 2y +8-8

-6 ≥ 2y

Divide by 2 on each side

-6/2 ≥ 2y/2

-3 ≥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.
  • Rafael draws one marble at random

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:

P(E) = P(\text{Choosing a red marble}) = \dfrac{6}{56} = \dfrac{3}{28} \approx 0.107

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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3 0
2 years ago
Solve the following permutation. 6P3
victus00 [196]
Here, the answer is 120
4 0
3 years ago
A museum worker randomly displays 5 historical writings in a row. What is the probability that the worker lines them up from the
Mars2501 [29]

The number of ways to arrange the 5 writings in a row is 5! = 5 * 4 * 3 * 2 * 1 = 120 ways.

There is only 1 way to arrange the writings from oldest to newest.

Therefore, the probability is 1/120.

4 0
3 years ago
Can someone help me with this and explain please
Artyom0805 [142]
X/y = 2 so x = 2y
z/x = 4 so z = 4x but x = 2y so z = 4(2y) = 8y

now you have
x = 2y, z = 8y 

x + y + z          2y  + y + 8y             11y              11
------------ = -----------------------= ------------- =   ----------- = 5 1/2
     x                          2y                  2y                  2

answer
C. 5 1/2
6 0
3 years ago
What is the length of side x in the triangle below?
antiseptic1488 [7]
Using sine formula we have 
8/sin60 = x/sin30 
hence x= 8/√3 = 4.62
5 0
3 years ago
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