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maw [93]
2 years ago
10

In a cookie jar there are 9 sugar cookies and 12 snickerdoodle cookies. The cookie are randomly mixed together in the jar. What

is the probability of pulling two of the same types of cookies out of the cookie jar in a row without replacement?
Mathematics
1 answer:
ycow [4]2 years ago
6 0

Answer:

The probability of pulling two of the same types of cookies in a row without replacement is \frac{51}{105}.

Step-by-step explanation:

There are a total of 21 * 20 = 420 different outcomes (After you take one cookie out, you aren't replacing it, so there will be 20 cookies in the jar on the second grab). There are a total of 9 * 8 = 72 different combinations of two sugar cookies, and 12 * 11 = 132 different combinations of two snickerdoodle cookies, so the total probability of pulling two of the same types of cookies in a row without replacement is \frac{132+72}{420} = \frac{204}{420} = \frac{51}{105}.

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a bottle of juice holds 3/8 gallon when it is full. if 1/3 of the juice has been poured out, how much juice is left in the bottl
taurus [48]
Let's get the denominators of both fractions to be the same before moving on, aka finding the least common multiple of the denominators.

8 and 3 have a LCM of 24. So, we have to multiply 1/3 by 8 and 3/8 by 3.

1/3 * 8/8 = 8/24

3/8 * 3/3 = 9/24

There is only 1/24 of juice left in the bottle if the remaining amount of juice has 1/3 poured out.

Hope that helped.
4 0
3 years ago
What is -9 times 4/3<br><br> In simplest form
andre [41]
-9/1*4/3=-36/3
-36/3 is known as -12. The answer is -12.

8 0
3 years ago
Read 2 more answers
The sum of x and 25 is less than 75
Pavel [41]
I you're looking for the equation, it is 

x+25  \ \textless \  75

and If you need me to solve it, it is 

x \ \textless \  50
8 0
3 years ago
3x + 5 = x - 3
dusya [7]

Answer:

x = -4

Step-by-step explanation:

3x + 5 = x - 3

Subtract x from each side

3x+5-x = x-3-x

2x+5 = -3

Subtract 5 from each side

2x+5-5 = -3-5

2x = -8

Divide each side by 2

2x/2 = -8/2

x = -4

7 0
3 years ago
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Solve for x 5x + 4/2 = 7
aev [14]

Answer:

x=2

Step-by-step explanation:

5x+\frac{4}{2} = 7

5x+4 =7 (2)

5x+4=14

5x=14-4

5x=10

\frac{5x}{5} = \frac{10}{5}

x=2

8 0
3 years ago
Read 2 more answers
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