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In-s [12.5K]
3 years ago
12

A bag contains 4 white, 2 blue, and

Mathematics
2 answers:
Oxana [17]3 years ago
8 0

Answer:

  • 1/4; 1/12; 2/9

Step-by-step explanation:

4 white, 2 blue, 6 red marbles

<u>Total number of marbles is:</u>

  • 4 + 2 + 6 = 12

<u>Probabilities are:</u>

  • P (red, red) =  6/12*6/12 = 1/2*1/2 =  1/4
  • P (red, blue) =  6/12*2/12 = 1/2*1/6 = 1/12
  • P (red or blue, white) = (6+2)/12 *4/12 = 8/12*1/3 = 2/3*1/3 = 2/9
7nadin3 [17]3 years ago
3 0

Answer:

1/2 for red

2/3

b+w=1/2

r+w=5/6

Step-by-step explanation:

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What is 2x-3y=-2 and 4x+y=24
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2x - 3y = -2  ⇒ 4x - 6y = -4
4x +  y = 24 ⇒  <u>4x + y = 24</u>
                              <u>-7y</u> = <u>-28</u>
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                                 y = 4
                     2x - 3(4) = -2
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4 0
3 years ago
What is the sum of the first 30 terms of the arithmetic series 27,32,37,42,47
AlladinOne [14]

Answer:

2985

Step-by-step explanation:

The formula for the sum of an arithmetic series is given by the formula:

S=\frac{k}{2}(a+x_k)

Where k is the number of terms, a is the first term, and x_k is the last term. In this case, the last term is the 30th term because we are finding the sum of the first 30 terms.

So, we need to find the 30th term. To do so, we can write an explicit formula for our sequence.

The standard form for an arithmetic sequence is given by the formula:

x_n=a+d(n-1)

Where a is the initial term and d is the common difference.

From our sequence, we can see that the initial term a is 27. The common difference is 5 because each term is 5 greater than the previous one.

So, our equation is:

x_n=27+5(n-1)

So, to find the 30th term, substitute 30 for n:

x_{30}=27+5(30-1)

Subtract:

x_{30}=27+5(29)

Multiply:

x_{30}=27+145

Add:

x_{30}=172

So, the 30th term is 172.

Now, substitute this into our original sum formula:

S=\frac{k}{2}(a+x_k)

Substitute 30 for k (the amount of terms), 27 for a (the first term), and 172 for x_k (the 30th and last term). So:

S=\frac{30}{2}(27+172)

Reduce and add:

S=15(199)

Multiply:

S=2985

So, the sum of the first 30 terms is 2985.

3 0
3 years ago
Solve -5t = 60 <br><br> 65<br> -6<br> 6<br> 55
defon
When you are asked to solve an equation, you need to isolate the variable which is t in this case. To isolate t, you would divide both sides by -5 and be left with t=-6 which is the final answer.

I hope this helps.
8 0
3 years ago
Find x using the trig ratios please
Karo-lina-s [1.5K]

Answer:

12.9

Step-by-step explanation:

cos 72 = 4/x

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7 0
2 years ago
X – 2y = 1<br> 2x + 3y = -12
lions [1.4K]

Answer:

x= -3

y= -2

From the first one, if you add 2y to both sides you can plug that into the second one and solve for y. Then, plug y to the first one and solve for x.

8 0
2 years ago
Read 2 more answers
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