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choli [55]
4 years ago
12

Gavin drank 3/4 of a liter of orange juice from a container, which 3/8 of the orange juice that was originally in the container.

How much orange juice was originally in the container? (pls explain how you get the answer and why you need to do this to get this answer)
Mathematics
1 answer:
Nesterboy [21]4 years ago
6 0

Answer:

2 liters

Step-by-step explanation:

Let

x ----> amount of the orange juice originally in the container in liters

we know that

The amount of the orange juice originally in the container multiplied by 3/8 must be equal to 3/4 of a liter of orange juice

so

The linear equation that represent this situation is

\frac{3}{8}x=\frac{3}{4}

solve for x

x=24/12=2\ L

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A bag contains 15 marbles. The probability of randomly selecting a green marble is 1/5. The probability of randomly selecting a
slava [35]

Answer:

6 blue marbles

Step-by-step explanation:

Given;

Total number of marbles N = 15

probability of randomly selecting a green marble

P(G) = 1/5

The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble P(G∩B) = 2/25

P(G∩B) = P(G) × P(B)

P(B) = P(G∩B) ÷ P(G)

The probability of selecting a blue marble

P(B) = 2/25 ÷ 1/5 = 2/5

The number of blue marbles N(B) = P(B) × N

N(B) = 2/5 × 15 = 6

There are 6 blue marbles

7 0
3 years ago
Complete parts (a) and (b) below.
jeka94

Answer:

a) The mean of the probability distribution = 0.6

b) The variance of the probability distribution = 0.3

c) The standard deviation of the probability distribution = 0.5

Step-by-step explanation:

a) Data and Calculations:

number of dogs per household in a small town

Dogs   Probability  Expected  Mean Diff    Mean Diff.

                               Value                            Squared

0          0.650           0               -0.569         0.32376

1           0.216            0.216        -0.353          0.12461

2         0.087            0.174         -0.395          0.15603

3          0.026            0.078       -0.491            0.24108

4          0.014             0.056       -0.513           0.26317

5          0.009          0.045       -0.524           0.27458

The mean =           0.569 (Sum of expected value)                          

Variance = mean of squared differences = 0.27665 (1.38323/5)

Standard deviation = square root of variance = 0.526 = 0.5

7 0
3 years ago
Lola uses 4 cups of sugar for 3 gallons of lemonade. How many cups of sugar would she need for a
saveliy_v [14]

Answer:

4=3

x=1

4=3x

4/3=x

1.3=x

4 0
3 years ago
What's is the converse of the statement?
Marrrta [24]
The definition of converse is to switch the hypotheneus and the conclution. So in this case your answer is"If 2x is even, then x is odd" which means the answer is C.
3 0
3 years ago
Koleman just received a 6% raise in salary. Before the raise he was making $52,000 per year. How much more will Koleman earn nex
pogonyaev

$52,000 + 6% = $55,120

If this helped you, would you mind answering one of my recent questions? Thanks!

7 0
4 years ago
Read 2 more answers
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