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zmey [24]
3 years ago
15

A bag contains 4 yellow marbles and 6 green marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then

a second marble is drawn. What is the probability that the first marble is green and the second one is yellow?
1/15

4/15

1/6

3/2
Mathematics
1 answer:
Pie3 years ago
7 0

\frac{6}{10}  \times  \frac{4}{9}  \\  =  \frac{24}{90}  \\  =  \frac{4}{15}

Answer is 2nd option, 4/15

Hope this helps. - M
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Newborn babies: A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights
Fed [463]

Answer:

a) 615

b) 715

c) 344

Step-by-step explanation:

According to the Question,

  • Given that,  A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of 732 babies born in New York. The mean weight was 3311 grams with a standard deviation of 860 grams

  • Since the distribution is approximately bell-shaped, we can use the normal distribution and calculate the Z scores for each scenario.

Z = (x - mean)/standard deviation

Now,

For x = 4171,  Z = (4171 - 3311)/860 = 1  

  • P(Z < 1) using Z table for areas for the standard normal distribution, you will get 0.8413.

Next, multiply that by the sample size of 732.

  • Therefore 732(0.8413) = 615.8316, so approximately 615 will weigh less than 4171  

 

  • For part b, use the same method except x is now 1591.    

Z = (1581 - 3311)/860 = -2    

  • P(Z > -2) , using the Z table is 1 - 0.0228 = 0.9772 . Now 732(0.9772) = 715.3104, so approximately 715 will weigh more than 1591.

 

  • For part c, we now need to get two Z scores, one for 3311 and another for 5031.

Z1 = (3311 - 3311)/860 = 0

Z2 = (5031 - 3311)/860= 2  

P(0 ≤ Z ≤ 2) = 0.9772 - 0.5000 = 0.4772

  approximately 47% fall between 0 and 1 standard deviation, so take 0.47 times 732 ⇒ 732×0.47 = 344.

5 0
2 years ago
Please Answer ASAP
Masteriza [31]

hence, the common ratio of the given G.P. is 3 or −3.

6 0
3 years ago
Read 2 more answers
Can anyone help me please
frez [133]
Would it be 3.4, 4.3, 5.2, 6.1, 7
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3 years ago
Find the perimeter of shape #8
Wittaler [7]
The squiggly lines and the 2 straight lines through to sides of the pentagon mean that they are congruent (equal in length).

So, to find the perimeter of a regular polygon, you add all of its sides together.


So, the perimeter= 4x-2+x-2+x-2+x+2+x+2

To simplify it, add all of the x's together.

4x+x+x+x+x=8x

Perimeter=8x-2-2-2+2+2

-2-2=-4-2=-6+2=-4+2=-2

Perimeter=8x-2

Reach out to me if you have any questions. I'd be glad to help! :)
4 0
3 years ago
Sam guys different types of fruit in 3/4 pound baskets. Maria has 1 1/4 pounds fruit
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What’s the question?
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