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Artyom0805 [142]
1 year ago
9

A bag of 10 Marbles has the following composition: Red – 3 Green – 4 Blue – 2 Yellow – 1 What is the Compound Probability of rea

ching in at random and extracting a Yellow marble followed by a Blue marble with NO REPLACEMENT?
Mathematics
1 answer:
Katyanochek1 [597]1 year ago
6 0

The probability of extracting a Yellow marble followed by a Blue marble is 2/45 if the bag of 10 Marbles has the following composition: Red – 3 Green – 4 Blue – 2 Yellow – 1

<h3>What is probability?</h3>

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

Total number of marbles = 3+4+2+1 = 10

P(Yellow) = 1/10

P(Blue) = 4/9

Probability of extracting a Yellow marble followed by a Blue marble:

= (1/10)(4/9)

= 4/90

=  2/45

Thus, the probability of extracting a Yellow marble followed by a Blue marble is 2/45 if the bag of 10 Marbles has the following composition: Red – 3 Green – 4 Blue – 2 Yellow – 1

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

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You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion
quester [9]

Answer:

The sample size must be approximately 1067 to get a margin of error of 0.03.

Step-by-step explanation:

We are given the following in the question:

Margin of error = 0.03

Significance level = 5%

Margin of error =

z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

Since, no prior proportions are given, we take

\hat{p} = 0.5

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting values, we get,

0.03 = 1.96\sqrt{\dfrac{0.5(1-0.5)}{n}}\\\\\sqrt{n} = \dfrac{1.96\times 0.5}{0.03}\\\\\\sqrt{n} = 32.67\\n = 1067.3289\approx 1067

Thus, the sample size must be approximately 1067 to get a margin of error of 0.03.

3 0
3 years ago
Dominick borrowed $6,000 from a credit union at 9% simple interest for 30 months. What were his monthly installment payments to
Lady_Fox [76]

<em>Answer: </em>

<em>A = $7,350.00</em>

<em></em>

<em>Step-by-step explanation:</em>

<em>Equation:</em>

<em>A = P(1 + rt)</em>

<em>First, converting R percent to r a decimal</em>

<em>r = R/100 = 9%/100 = 0.09 per year.</em>

<em>Putting time into years for simplicity,</em>

<em>30 months / 12 months/year = 2.5 years.</em>

<em></em>

<em></em>

<em>Solving our equation:</em>

<em>A = 6000(1 + (0.09 × 2.5)) = 7350 </em>

<em>A = $7,350.00</em>

<em>The total amount accrued, principal plus interest, from simple interest on a principal of $6,000.00 at a rate of 9% per year for 2.5 years (30 months) is $7,350.00.</em>

<em>* Therefor, the answer is $7,350.00.</em>

<em>* Hopefully this helps:) Mark me the brainliest:)!!!</em>

7 0
3 years ago
Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have a $9$ on them. How m
8_murik_8 [283]

Value of the given statement:

  1. 4.36
  2. 5
  3. 6
  4. 38
<h3>What is Probability?</h3>

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

According to the given information:

1) There are a total of 10 slips after adding.

8 slip with 3 on it

2 slips with 9  on it

 value = Probability of 3 x 3 plus Probability of 9 x 9.

=  (8 / 11)  x 3 + (2/ 11)  x 9

24 / 11 + 24 / 11 = 4.36

2 )No of total slips after addition = 12

8 slip with 3 on it

4 slips with 9  on it

 value = Probability of 3 x 3 plus Probability of 9 x 9.

=  (8 / 12)  x 3 + (4 / 12)  x 9

2 + 3 = 5

3 )Let n be the required number

No of total slips after addition = 10+n

8 slip with 3 on it

2 + n  slips with 9  on it

value = Probability of 3 x 3 plus Probability of 9 x 9.

=  (8 / 10+n )  x 3 + (2+n  / 10+n )  x 9 = 6

24 + 18 + 9n / 10 + n  = 6

42 + 9n = 60 + 6n

3 n = 18

n = 6

4 )Let n be the required number

No of total slips after addition = 10+n

8 slip with 3 on it

2 + n  slips with 9  on it

expectation value = probability of 3 x 3 + probability of 9 x 9

=  (8 / 10+n )  x 3 + (2+n  / 10+n )  x 9 = 8

24 + 18 + 9n / 10 + n  = 8

42 + 9n = 80 + 8n

n = 38

Minimum of 38 has to be added .

To know more about Probability visit:

brainly.com/question/17487084

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I understand that the question you are looking for is:

1:Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have a $9$ on them. What is the expected value of the number shown if we add one additional $9$ to the bag? 2:Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have a $9$ on them. What is the expected value of the number shown if we add two additional $9$'s (instead of just one) to the bag? 3:Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have a $9$ on them. How many $9$'s do we have to add to make the expected value equal to $6$? 4:Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have a $9$ on them. How many $9$'s do I have to add before the expected value is at least $8$?

4 0
2 years ago
An interval has the notation (-6,-2). find the midpoint
notka56 [123]
<span>(6+8)/2 = 14/2 = 7 hope this helps

</span>
8 0
3 years ago
Read 2 more answers
What is the perimeter of the shape?
Serhud [2]

Answer:

20 cm

Step-by-step explanation:

Assuming that the side lengths you've written are the only side lengths of the shape, meaning it would be a trapezoid, all you do is add them up together.

3 + 5 + 5 + 7 = 20

3 0
3 years ago
Read 2 more answers
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