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Ierofanga [76]
3 years ago
11

Suppose that 9 green balls and 14 purple balls are placed in an urn.  Two balls are then drawn in succession.  What is the proba

bility that the second ball drawn is a purple ball if the first ball is replaced before the second is drawn?
Mathematics
1 answer:
Hitman42 [59]3 years ago
8 0
<span>14/23, or approximately 60.87% Since the first ball is replaced before the second is drawn, the two events are independent. And the probability of the second ball being purple is the percentage of the balls that are purple in the urn. The total number of balls is 9+14 = 23 and 14 of those balls are purple, so 14/23 = probability of the second ball drawn being purple. It's approximately 0.608695652, or 60.87%</span>
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Nathaniel builds birds and birdhouses using Lego blocks. Let B represent the number of birds and H represent the number of birdh
N76 [4]

Answer:

At-most 3 birdhouses.

Step-by-step explanation:

Let B represent the number of birds and H represent the number of birdhouses that Nathaniel can build with his Lego blocks.

We have been given that Nathaniel builds birds and birdhouses using Lego blocks. The inequality 43B+215H\leq3000 represents the number of birds and birdhouses Nathaniel could build.

To find the number of birdhouses that Nathaniel can build after making 50 birds, we will substitute B=50 in our given inequality and then solve for H.

43*50+215H\leq3000

2150+215H\leq3000

Let us subtract 2150 from both sides of our inequality.

2150-2150+215H\leq3000-2150

215H\leq850

Let us divide both both sides of our inequality by 215.

\frac{215H}{215}\leq\frac{850}{215}

H\leq3.953488

As Nathaniel can make build less than or equal to 3.953488 and the biggest integer less than or equal to 3.953 is 3, therefore, Nathaniel can build at-most 3 birdhouses with remaining Lego blocks.

3 0
2 years ago
Read 2 more answers
How much is the product of<br> 14 and 16 less than 290
Svetradugi [14.3K]

The product of 14 and 16 is 66 less than 290.

<h3>What is the meaning of product ?</h3>

The product is obtained when two numbers are multiplied with each other .

The given data can be used to make an equation

Let the product of 14 and 16  be x less than 290 then

14*16 = 290-x

224 = 290-x

x = 66

Therefore the product is 66 less than 290.

To know more about Product

brainly.com/question/22852400

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4 0
2 years ago
Solve for the variable <br> 10 + 25a = 75<br><br><br><br><br><br> Please help
Vesnalui [34]

Answer:

a = 2.6

Step-by-step explanation:

10 + 25a = 75

- 10.             - 10

25a = 65

÷25.     ÷25

a = 2.6

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

8 0
2 years ago
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Kyle started biking at a constant rate of 15 mph. Half an hour later, Kim followed on the same path at a constant rate of 18 mph
lidiya [134]
The answer is...

It would take kim approximately* dont know if I spelled it correctly* 2 hours 30 minutes to catch up with kyle.
4 0
3 years ago
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Please help me find n. 1/3=n+3/4
raketka [301]

Answer:

-5/12

Step-by-step explanation:

Let's solve your equation step-by-step.

1 /3  = n +  3 /4

Step 1: Flip the equation.

n +  3 /4  =  1/ 3

Step 2: Subtract 3/4 from both sides.

n+  3 /4  −  3/4   =  1/ 3  −  3 /4

n=  −5 /12

7 0
3 years ago
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