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sladkih [1.3K]
3 years ago
9

You are at a family reunion and the cooler contains ten bottles of soda; four Sprite, three Dr. Pepper, and three Cherry Coke. T

hree times, you randomly pick up a drink for your grandmother. The first time, you get a Cherry Coke. The second and third times, you get Dr. Pepper. What is the probability of getting Dr. Pepper the fourth time and then an Cherry Coke the fifth time without replacement?
Mathematics
1 answer:
natita [175]3 years ago
6 0

Answer:

Probability of getting Dr. Pepper the fourth time = \frac{1}7

Probability of getting a cherry coke the fifth time = \frac{1}{3}

Combined probability = \frac{1}{21}

Step-by-step explanation:

Formula for probability of an event E can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

It is given that first time a Cherry coke is chosen and it is not replaced.

So, number of cherry coke left = 2

Dr. Pepper is chosen twice and is not replaced, so

Number of Dr. Pepper left = 3 - 2 = 1

Total number of soda left = 10 - 3 = 7

So, probability of getting Dr. Pepper the fourth time = \frac{1}7

Now, total number of soda left = 7 - 1 = 6

Probability of getting a cherry coke the fifth time = \frac{2}{6} = \frac{1}{3}

The combined probability = probability of getting Dr. Pepper the fourth time multiplied with Probability of getting a cherry coke the fifth time

\Rightarrow \dfrac{1}7 \times \dfrac{1}{3} = \dfrac{1}{21}

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andrew11 [14]

Answer:

1/-21

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

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Step 2: Subtract 6x from both sides.

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Step 3: Add 1/12 to both sides.

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Step 4: Multiply both sides by 4/(-7).

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3 0
3 years ago
8)Solve and rewrite using the distributive property __(__+__) = 12 +24​
Alla [95]

The distributive property will give answer 2 ( 6 + 12 ) = 12 + 24 .

The distributive law of multiplication over basic arithmetic such as addition and subtraction is known as distributive property .

According to this property , multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the no . and then adding the products together .

In other words, according to the distributive property, an expression of the form A ( B + C ) can be solved as A ( B + C ) = AB + AC.

2 ( 6 + 12 ) = 12 + 24 .

Hence , the distributive property will give answer 2 ( 6 + 12 ) = 12 + 24 .

To know more on distributive property follow link :

brainly.com/question/2807928

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1 year ago
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3 years ago
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LenaWriter [7]
4x-3y=17......(1)
5x+4y=60......(2)

Multiply equation (1) by 4 and equation (2) by 3:-

16x - 12y = 68
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Adding these 2 equations:_

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Now substitute x = 8 in equation (1):-

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So solution is x=8,y=5
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