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Nostrana [21]
3 years ago
6

A bag of marbles contains 1 green, 5 red, and 2 blue. Find the probability of picking a red marble, putting it back in the

Mathematics
1 answer:
sleet_krkn [62]3 years ago
6 0

Answer:

Red = 25/32768

Blue = 4/64

Step-by-step explanation:

Green Marbles = 1

Red Marbles = 5

Blue Marbles = 2

Probability of picking a red marble = 5/8 x 5/8 x 5/8 x 5/8 x 5/8 = 25/32768

Probability of picking a blue marble = 2/8 x 2/8 = 4/64

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Find the 10th partial sum of the arithmetic sequence defined by
Evgesh-ka [11]

Answer:

22.5


Step-by-step explanation:

If you expand the series, you can see the first few terms of the series:

  • Putting 1 in n, \frac{1}{2}(1)-\frac{1}{2}=0
  • Putting 2 in n, \frac{1}{2}(2)-\frac{1}{2}=0.5
  • Putting 3 in n, \frac{1}{2}(3)-\frac{1}{2}=1
  • Putting 4 in n, \frac{1}{2}(4)-\frac{1}{2}=1.5

We can see the series is 0, 0.5, 1, 1.5, ....

This is an arithmetic series with common difference (the difference in 2 terms) 0.5 and first term 0.

We know formula for sum of arithmetic series:

s_{n}=\frac{n}{2}(2a+(n-1)d)

Where,

  • S_{n} denotes the nth partial sum
  • a is the first term (in our case it is 0)
  • n is the term (in our case it is 10 since we want to find 10th partial sum -- sum until first 10 terms)
  • d is the common difference (difference in term and the previous term) (in our case it is 0.5)

Substituting these into the formula, we get the 10th partial sum to be:

s_{10}=\frac{10}{2}(2(0)+(10-1)(0.5))\\s_{10}=5(0+(9)(0.5))\\s_{10}=5(0+4.5)\\s_{10}=5(4.5)\\s_{10}=22.5

So the sum of the first 10 terms is 22.5. Third answer choice is right.


8 0
3 years ago
Read 2 more answers
Complete the multiplication: 2EA
Lady bird [3.3K]

<span>In </span>mathematics<span>, a </span>matrix<span> <span>(plural </span></span>matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

 

Given that

E = [ 1 2]

 

<span>A = | 3  0|</span>

<span>      | 2 -1 |</span>

<span>2EA = 2 [1 2] | 3  0|</span>

<span>                      | 2 -1 |</span>

 

<span>2EA = [ 14  -4]</span>

<span> </span>

8 0
3 years ago
Read 2 more answers
Ming wants to make a 40% sugar solution. She had already poured 3 L of a 80% sugar solution into a beaker. How many L of a 10% s
jeyben [28]

Answer:

Ming must add 0.375 L of a 10% sugar solution

Step-by-step explanation:

if 3 L = 80%

1.5 L should = 40% (since it is half of 80%)

and if 40 divided by 4 = 10%

1.5 also needs to be divided by 4

so 1.5 divided by 4 = 0.375

that means Ming must add 0.375 L of a 10% sugar solution

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3 years ago
Could someone pleaseeeeee help me with my math! Thank you &lt;3
Papessa [141]
1 7/9-2/9=1 5/9

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8 0
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46 on number line round to nearest ten
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50

46is closer to 50
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